GUIDELINES LAID DOWN BY FCC RULES FOR USE OF THE UNIT IN THE U.S.A. (not applicable to other areas).
NOTICE
This equipment has been tested and found to comply with the limits for a Class B digital
device, pursuant to Part 15 of the FCC Rules. These limits are designed to provide reasonable
protection against harmful interference in a residential installation. This equipment generates,
uses and can radiate radio frequency energy and, if not installed and used in accordance with
the instructions, may cause harmful interference to radio communications. However, there is
no guarantee that interference will not occur in a particular installation. If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, the user is encouraged to try to correct the interference by one or more of the following measures:
• Reorient or relocate the receiving antenna.
• Increase the separation between the equipment and receiver.
• Connect the equipment into an outlet on a circuit different from that to which the receiver is connected.
• Consult the dealer or an experienced radio/TV technician for help.
FCC WARNING
Changes or modifications not expressly approved by the party responsible for compliance could void the user’s authority to operate the equipment.Proper connectors must be used for connection to host computer and/or peripherals in order to meet FCC emission limits.
USB connector that comes with the fx-FD10 ProPower Graphic Unit to Windows
®
compatible PC
Declaration of Conformity
Model Number: fx-FD10 ProTrade Name: CASIO COMPUTER CO., LTD.Responsible party: CASIO AMERICA, INC.Address: 570 MT. PLEASANT AVENUE, DOVER, NEW JERSEY 07801Telephone number: 973-361-5400
This device complies with Part 15 of the FCC Rules. Operation is subject to thefollowing two conditions: (1) This device may not cause harmful interference, and (2)
this device must accept any interference received, including interference that may
cause undesired operation.
i
Important!
The splash resistance and dust resistance performance of the calculator are based on CASIO
testing methods. Indicated performance is based on performance at the time of shipment from the
factory (at the time of delivery to you). CASIO makes no guarantee that such performance will be
provided in environments where you use the calculator. Also note that submersion in water during
use is not covered by the warranty, so be sure to take the same precautions that you take with
other electrical devices whenever using this calculator in the rain.
•The contents of this user’s guide are subject to change without notice.
• No part of this user’s guide may be reproduced in any form without the express written
consent of the manufacturer.
• Microsoft, Windows, and Windows Vista are registered trademarks or trademarks of Microsoft
Corporation in the United States and other countries.
• Mac OS is a trademark of Apple, Inc. in the United States and other countries.
• The SDHC Logo is a trademark of SD-3C, LLC.
• Company and product names used in this manual may be registered trademarks or
trademarks of their respective owners.
ii
Contents
Chapter 1 Getting Acquainted — Read This First!
1. BEFORE USING THE CALCULATOR FOR THE FIRST TIME... ................................ 1-1
1. BEFORE USING THE CALCULATOR FOR THE
FIRST TIME...
Batteries are not loaded in your calculator at the factory.
Be sure to follow the procedure below to load batteries and adjust the display contrast before
trying to use the calculator for the first time.
1. Turn over the calculator and rotate the center knob to the left.
• During the remainder of this procedure, take care that you do not accidentally press the o key.
2. Lift up the battery compartment cover (1) and remove it (2).
121
2
1
3. Load the four batteries that come with the calculator.
• When loading batteries other than those that come with the calculator, be sure to load full set of four AAA-size alkaline or rechargeable nickel-metal hydride batteries.
• Make sure that the positive (+) and negative (–) ends of the batteries are facing correctly.
4. Replace the battery compartment cover. While pressing down on the cover, rotate the
center knob to the right.
Important!
• You may not be able to rotate the center knob if you do not press down on the battery
compartment cover as you do.
• Splash resistance, dust resistance, and shock resistance are maximized while the battery
compartment cover is fully and securely closed.
• Even a slight amount of foreign matter (a single hair, speck of dust, etc.) on the contact
surface of the battery compartment cover can allow moisture and/or dust to get into the
interior of the calculator.
1-1
• If the Power Properties screen shown to the right is not
on the display, press the RESTART button on the back
of the calculator.
RESTART button
5. To change the LCD and key backlight duration, use c and f to move the highlighting to
“Backlight Duration” and then press one of the keys below.
1(10) ...Backlight remains lit for 10 seconds after the backlight on operation.*
Performing a key operation while the backlight is lit will restart the duration until
10 seconds after that key operation.
2(30) ...Backlight remains lit for 30 seconds after the backlight on operation.*
Performing a key operation while the backlight is lit will restart the duration until
30 seconds after that operation.
3(Alway) ...Backlight remains lit after the backlight on operation* until you press
!a(LIGHT) or until the calculator is turned off.
*The backlight on operation depends on what is selected for the calculator’s “Backlight
Setting”. The initial default setting turns the backlight on when any key operation is performed.
6. Press 6(Next).
• This displays the Battery Settings screen.
7. Use f and c to move the highlighting to the battery type matches the batteries you loaded in step 2 above, and then press 1(SEL).
8. On the confirmation screen that appears, press 1(Yes).
9. Press 6(FIN) to complete the initial setup procedure.
• This will display the main menu.
1-2
2. Handling Precautions
• Your calculator is made up of precision components. Never try to take it apart.
• Avoid dropping your calculator and subjecting it to strong impact.
• Do not store the calculator or leave it in areas exposed to high temperatures or humidity, or
large amounts of dust. When exposed to low temperatures, the calculator may require more
time to display results and may even fail to operate. Correct operation will resume once the
calculator is brought back to normal temperature.
• Your calculator supports use of both alkaline batteries and rechargeable nickel-metal hydride
batteries. Note that the amount of operation between charges provided by nickel-metal hydride batteries is shorter than the life of alkaline batteries. Use only batteries that are specifically recommended for this calculator.
• Replace the main batteries once every one year regardless of how much the calculator
is used during that period. Never leave dead batteries in the battery compartment. They can leak and damage the unit. Immediately remove nickel-metal hydride batteries from the calculator after their charge is used up. Leaving uncharged nickel-metal hydride batteries in
the calculator can cause them to deteriorate.
• Keep batteries out of the reach of small children. If swallowed, consult a physician
immediately.
• Avoid using volatile liquids such as thinner or benzine to clean the unit. Wipe it with a soft,
dry cloth, or with a cloth that has been moistened with a solution of water and a neutral detergent and wrung out.
• Always be gentle when wiping dust off the display to avoid scratching it.
• In no event will the manufacturer and its suppliers be liable to you or any other person for
any damages, expenses, lost profits, lost savings or any other damages arising out of loss of data and/or formulas arising out of malfunction, repairs, or battery replacement. It is up to
you to prepare physical records of data to protect against such data loss.
• Never dispose of batteries, the liquid crystal panel, or other components by burning them.
• Be sure that the power switch is set to OFF when replacing batteries.
• If the calculator is exposed to a strong electrostatic charge, its memory contents may be
damaged or the keys may stop working. In such a case, perform the Reset operation to clear
the memory and restore normal key operation.
• If the calculator stops operating correctly for some reason, use a thin, pointed object to press
the RESTART button on the back of the calculator. Note, however, that this clears all the data in calculator memory.
• Note that strong vibration or impact during program execution can cause execution to stop or
can damage the calculator’s memory contents.
• Using the calculator near a television or radio can cause interference with TV or radio
reception.
• Before assuming malfunction of the unit, be sure to carefully reread this User’s Guide and
ensure that the problem is not due to insufficient battery power, programming or operational
errors.
• Avoid contact with water and other liquids.
Though your calculator is designed to be splash-resistant, note that splash-resistance is
reduced if it is exposed to moisture, dirt, or dust while the battery compartment cover, USB
port cap, SD card cap, or other opening is uncovered. Moisture getting into the calculator
creates the risk of malfunction, fire, and electric shock.
1-3
• Do not swing the calculator around by its strap. Doing so creates the risk of calculator
malfunction and personal injury.
• Avoid opening the battery compartment cover, USB port cap, and SD card cap in areas
where moisture or salt wind is present, when your hands are wet, when wearing wet gloves,
etc.
• Periodically check the battery compartment cover, USB port cap, SD card cap, and the areas
around them for dirt, sand, and other foreign matter. If any of these areas are dirty, use a
soft, clean, and dry cloth to wipe them. Note that even a minute particle of foreign matter (a
single strand of hair, a single grain of sand, etc.) on a cover or cap contact surface creates
the risk of moisture reaching the calculator interior.
• If the calculator is exposed to large amounts of rain or other water, wipe it dry. Make sure
that all moisture is removed before using the calculator again.
• Do not use the calculator for long periods in the rain.
• When closing the battery compartment cover, USB port cap, or SD card cap, inspect its
gasket for cracks, damage, looseness, or other irregularities, and make sure that the coveror cap closes securely.
• Take care to avoid dropping the calculator and do not leave it in an area that is outside the
allowable operating temperature range. Such conditions can cause deterioration of splash and/or dust resistance.
• Calculator accessories and options are not splash or dust resistant.
• Subjecting the calculator to extreme shock may cause loss of splash and/or dust resistance.
• CASIO COMPUTER CO., LTD. shall held in no way liable for any malfunction of or damage
to the calculator or SD card being used, or for any corruption or deletion of memory contents
due to problems related to invasion of moisture that may occur due to misuse by you.
• CASIO COMPUTER CO., LTD. shall not be held responsible for any problems caused by
exposure of this calculator to moisture.
• A progress bar and/or a busy indicator appear on the display whenever the calculator is
performing a calculation, writing to memory, or reading from memory.
Busy indicator
Progress bar
Never press the RESTART button or remove the batteries from the calculator when the
progress bar or busy indicator is on the display. Doing so can cause memory contents to be
lost and can cause malfunction of the calculator.
1-4
Be sure to keep physical records of all important data!
The large memory capacity of the unit makes it possible to store large amounts of data.You should note, however, that low battery power or incorrect replacement of the batteries
that power the unit can cause the data stored in memory to be corrupted or even lost entirely.
Stored data can also be affected by strong electrostatic charge or strong impact. It is up to you
to keep back up copies of data to protect against its loss.
Since this calculator employs unused memory as a work area when performing its internal
calculations, an error may occur when there is not enough memory available to perform
calculations. To avoid such problems, it is a good idea to leave 1 or 2 kbytes of memory free
(unused) at all times.
In no event shall CASIO Computer Co., Ltd. be liable to anyone for special, collateral,
incidental, or consequential damages in connection with or arising out of the purchase or use
of these materials. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of
any kind whatsoever against the use of these materials by any other party.
1-5
3. LCD and Key Back Lighting
This calculator is equipped with LCD and key back lighting to make the keys and display easy
to read, even in the dark. You can conserve battery power by limiting backlight operation to
only when you need it.
u To turn the backlight on or off
Press !a(LIGHT) to toggle the backlight on and off.
•Changing the Backlight On/Off Key
You can configure the calculator so the backlight turns on when any key is pressed, instead of
requiring the !a(LIGHT) to toggle the backlight on and off. For details, see “To specify the backlight key” (page 9-2).
• Backlight duration
You can configure backlight settings so it remains on or turns off after a specific period (30 seconds or 10 seconds) of calculator non-use. See “To specify the backlight duration” for details about the applicable operation procedure.
• Backlight and Battery Life
• Long-term backlight illumination can shorten battery life.
• The table below shows approximate battery life values for a new set of alkaline batteries or
a new set of nickel-metal hydride batteries when operations (1) through (3) are performedrepeatedly at one-hour intervals, under a temperature of 25°C.
(1) Five minutes of main menu display(2)PRGM mode calculation for 5 minutes(3) 50 minutes of PRGM mode display
Lit for the first 30 seconds of the three-step operation, then turned off after that.
Continuously lit.15 hours
200 hours
120 hours
(Reference value)
(Reference value)
1-6
4. Splash Resistance, Dust Resistance, and
Shock Resistance
k Splash Resistance and Dust Resistance
This calculator satisfies the requirements of the IP54* splash proof and dust proof protection
levels defined by the International Electrotechnical Commission (IEC).
* IP stands for “ingress protection”. The “5” of the left digit means Class 5 (no ingress of
dust that affect device operation) protection against solid objects. The “4” means Class 4 protection against liquids (no harmful effects from water sprayed from all directions).
k Shock Resistance
This calculator has cleared independent testing by CASIO that was conducted based on the United States Defense Department MIL-STD-810G shock resistance performance test methods*. Test methods are those described below.
Local testing by natural dropping of the calculator to the floor (P tile on concrete) from a height of 122 cm on six faces. Test data represents actual cumulative values based on CASIO standards, and do not constitute any guarantee of non-destruction of or non-damage to the actual product exterior.
* Environmental laboratory test method (Method 516.6-Shock) of the United States
Department of Defense MIL-STD-810G military standard, which requires passage by a total
of at least five devices, which are drop tested from a height of 122 centimeters (4 feet) ontoa plywood (lauan) drop zone, in groups of five, for a total of 26 drops (6 faces, 8 corners, 12
edges)
Important!
• Shock resistance testing assumes exposure to shock during normal everyday use.
Subjecting the calculator to extreme shock may destroy it.
• Even if exposure to shock does not result in calculator operational performance, it can cause
scratching of the calculator’s display or other damage.
• Splash resistance, dust resistance, and shock resistance testing of this calculator was
performed using CASIO test methods. No guarantees are made concerning the ability of the
calculator to be impervious to damage and/or malfunction.
1-7
5. About this User’s Guide
u !x(')
The above indicates you should press ! and then x, which will input a ' symbol. All
multiple-key input operations are indicated like this. Key cap markings are shown, followed by
the input character or command in parentheses.
u m STAT
This indicates you should first press m, use the cursor keys ( f, c, d, e) to select the
STAT mode, and then pressw. Operations you need to perform to enter a mode from the Main Menu are indicated like this.
uFunction Keys and Menus
• Many of the operations performed by this calculator can be executed by pressing function keys1 through6. The operation assigned to each function key changes according to the mode the calculator is in, and current operation assignments are indicated by function menus that appear at the bottom of the display.
• This User’s Guide shows the current operation assigned to a function key in parentheses following the key cap for that key.1(Comp), for example, indicates that pressing1selects {Comp}, which is also indicated in the function menu.
• When ( g) is indicated in the function menu for key6, it means that pressing6 displays
the next page or previous page of menu options.
u Menu Titles
• Menu titles in this User’s Guide include the key operation required to display the menu being explained. The key operation for a menu that is displayed by pressingK and then{LIST} would be shown as:[OPTN]-[LIST].
•6(g) key operations to change to another menu page are not shown in menu title key operations.
u Command List
ThePRGM Mode Command List (page 6-31) provides a graphic flowchart of the various function key menus and shows how to maneuver to the menu of commands you need.
Example: The following operation displays Xfct:[VARS] -[FACT] -[Xfct]
u E-CON2
This manual does not cover theE-CON2 mode. For more information about theE-CON2mode, download the E-CON2 manual (English version only) from: http://edu.casio.com.
1-8
Chapter 2 Basic Operation
1. Keys
k Key Table
PagePagePagePagePagePage
PagePagePagePagePagePage
2
1-6
1-62-7,
2-7,2-10
2-10
2-6
2-6
3-12
3-12
2-8
2-8
2-12
2-12
2-13
2-132-2,
2-2,6-2
6-2
2-6
2-6
2-9
2-9
3-4
3-4
2-14α-2
2-14α-22-3
2-3
2-10
2-10
3-1
3-1
3-1
3-1
3-15
3-15
1-12-22-11
1-12-22-11
2-6
2-6
PagePagePagePagePage
PagePagePagePagePage
3-11
3-11
3-11
3-11
3-4
3-42-7
2-7
2-9
2-9
3-4
3-43-7
3-7
3-15
3-15
3-12
3-12
2-1
k Calculator Front Keys
Almost all of the keys on the front of the calculator have two functions assigned to them.
2
1
For example, pressing the x key directly inputs ^2 (1: square), while pressing ! and then x inputs '(2: square root).
Note
• For information about keys 1 through 6, see “About the Function Menu” (page 2-5).
• The a key is used when inputting alphabetic characters. See “Inputting Alphabetic Characters” for more information.
• Pressing the a key twice in succession displays a function menu of up to six functions or commands registered by you to the Favorites category. You can use the function menu to input Favorites functions and commands. For more information, see “To input Favorites category commands using the function keys” (page 2-11).
k Side Keys
There are three keys on the right side of the calculator: up cursor key, down cursor key, and w key.
Up cursor key
Up cursor key
Down cursor key
Down cursor key
w key
w key
These keys perform the same operations as the corresponding keys on the front of the calculator.As shown in the example below, the up and down cursor keys can be used to scroll certain screens one screen by pressing one of the keys twice in succession.
Example To use the up and down cursor keys to scroll a program list one screen
1. Press 0 to display the program list.
2-2
2. Press the down side cursor key twice in succession to
scroll the screen contents downwards one screen.
3. Press the up side cursor key twice in succession to scroll
the screen contents upwards one screen.
Note
• Each press of a side cursor key scrolls one screen when any of the following screens is displayed.
- Matrix memory element input screen (Matrix Calculations, page 3-34)
- List Editor screen (Chapter 4 List Function)
- Program List screen (Chapter 6 Programming)
- Spreadsheet screen (Chapter 7 Spreadsheet)
- Memory information screen (Chapter 8 Memory Manager)
• If a screen does not support scrolling with the side cursor keys, screen contents will not change when either key is pressed twice in succession.
• Pressing the front up/down cursor keys twice in succession will not scroll screen contents.
2. Display
k Selecting Icons
This section describes how to select an icon in the Main Menu to enter the mode you want.
uTo select an icon
1. Press m to display the Main Menu.
2. Use the cursor keys ( d,e,f,c) to move the
highlighting to the icon you want.
Currently selected icon Currently selected icon
2-3
3. Press w to display the initial screen of the mode
whose icon you selected. Here we will enter the
STAT mode.
• You can also enter a mode without highlighting an icon in the Main Menu by inputting the
number marked in the lower right corner of the icon.
• Use only the procedures described above to enter a mode. If you use any other procedure,
you may end up in a mode that is different than the one you thought you selected.
The following explains the meaning of each icon.
IconMode Name Description
RUN • MAT(Run • Matrix)
PRGM(Program)
STAT(Statistics)
S • SHT (Spreadsheet)
MEMORY Use this mode to manage data in the calculator’s main
SYSTEM Use this mode to adjust display contrast, and to configure
Use this mode for arithmetic calculations and function calculations, and for calculations involving binary, octal, decimal, and hexadecimal values and matrices.
Use this mode to write, store and recall programs that be reused for calculation as required. A variety of different usefulpreset programs are provided.
Use this mode to perform single-variable (standard deviation)and paired-variable (regression) statistical calculations, to perform tests, to analyze data and to draw statistical graphs.
Use this mode to perform spreadsheet calculations. You can also perform the same statistical calculations and statistical graphing operations you perform in the STAT mode.
memory and storage memory, and on an SD card loaded in the calculator.
power supply, display language, memory reset, and other general operational settings.
kBattery Level Indicator
An icon in the upper right corner of the Main Menu (m) shows approximately how much battery power is remaining.
... From left to right: Level 3, Level 2, Level 1, Dead.
Important!
• Replace batteries as soon as possible whenever (Level 1) is indicated. For information
about battery replacement, see “Replacing Batteries” (page Ơ-1).
• The calculator will display a message prompting you to replace batteries when battery power
goes very low. For more information, see “Low Battery Message” (page 2-17).
2-4
k About the Function Menu
Use the function keys ( 1 to 6) to access the menus and commands in the menu bar
along the bottom of the display screen. You can tell whether a menu bar item is a menu or a
command by its appearance.
k Normal Display
The calculator normally displays values up to 10 digits long. Values that exceed this limit are
automatically converted to and displayed in exponential format.
uHow to interpret exponential format
1.2E+12 indicates that the result is equivalent to 1.2× 10 12. This means that you should move
the decimal point in 1.2 twelve places to the right, because the exponent is positive. This results in the value 1,200,000,000,000.
1.2
–03 indicates that the result is equivalent to 1.2× 10 –3. This means that you should move
E
the decimal point in 1.2 three places to the left, because the exponent is negative. This results
in the value 0.0012.
You can specify one of two different ranges for automatic changeover to normal display.
All of the examples in this manual show calculation results using Norm 1.See page 3-9 for details on switching between Norm 1 and Norm 2.
kSpecial Display Formats
This calculator uses special display formats to indicate fractions, hexadecimal values, and degrees/minutes/seconds values.
u Fractions
.................... Indicates: 456
12
23
u Hexadecimal Values
u Degrees/Minutes/Seconds
................... Indicates: 0ABCDEF1
180150001
(10)
(16)
.................... Indicates: 12° 34’ 56.78”
2-5
, which equals
• In addition to the above, this calculator also uses other indicators or symbols, which are
described in each applicable section of this manual as they come up.
3. Inputting and Editing Calculations
k Inputting Calculations
When you are ready to input a calculation, first pressA to clear the display. Next, input your
calculation formulas exactly as they are written, from left to right, and pressw to obtain theresult.
Example 2 + 3 – 4 + 10 =
Ac+d-e+baw
k Editing Calculations
Use thed ande keys to move the cursor to the position you want to change, and then perform one of the operations described below. After you edit the calculation, you can execute
it by pressingw. Or you can usee to move to the end of the calculation and input more.
uTo change a step
Example To change cos60 to sin60
A!i(cos)ga
ddd
D
!h(sin)
uTo delete a step
Example To change 369 × × 2 to 369× 2
Adgj**c
dD
In the insert mode, the D key operates as a backspace key.
2-6
u To insert a step
Example To change 2.36 2 to sin2.36
Ac.dgx
ddddd
!h(sin)
2
kAlphabetic Character Input
Use the function menu that appears when you press a to input alphabetic characters for variable memory names (A through Z), program names, etc.
Example To input A + B + C
a1(A-E)1(A)+2(B)+3(C)
Note
To input symbols (', ", ~, =) and spaces, use the function menu that appears after you press a6(SYBL).
kUsing Replay Memory
The last calculation performed is always stored into replay memory. You can recall the contents of the replay memory by pressingd ore.If you presse, the calculation appears with the cursor at the beginning. Pressingd causes
the calculation to appear with the cursor at the end. You can make changes in the calculation
as you wish and then execute it again.
Example 1 To perform the following two calculations
4.12× 6.4 = 26.368
4.12× 7.1 = 29.252
Ae.bc*g.ew
dDDD
h.b
w
After you press A, you can press f or c to recall previous calculations, in sequence from
the newest to the oldest (Multi-Replay Function). Once you recall a calculation, you can use
e and d to move the cursor around the calculation and make changes in it to create a new
calculation.
2-7
Example 2
Abcd+efgw
cde-fghw
A
f (One calculation back)
f (Two calculations back)
• A calculation remains stored in replay memory until you perform another calculation.
• The contents of replay memory are not cleared when you press the A key, so you can recall a calculation and execute it even after pressing theA key.
k Making Corrections in the Original Calculation
Example 14 ÷ 0× 2.3 entered by mistake for 14÷ 10× 2.3
Abe/a*c.d
w
Press J.
Cursor is positioned automatically at the location of the cause of the error.
Make necessary changes.
db
Execute again.w
kUsing the Clipboard for Copy and Paste
You can copy (or cut) a function, command, or other input to the clipboard, and then paste the
clipboard contents at another location.
u To specify the copy range
1. Move the cursor ( I) to the beginning or end of the range of text you want to copy and then
press !b(CLIP). This changes the cursor to “
2. Use the cursor keys to move the cursor and highlight the range of text you want to copy.
2-8
”.
3. Press 1(COPY) to copy the highlighted text to the clipboard, and exit the copy range
specification mode.
The selected characters are not
changed when you copy them.
To cancel text highlighting without performing a copy operation, press J.
uTo cut the text
1. Move the cursor ( I) to the beginning or end of the range of text you want to cut and then
press!b(CLIP). This changes the cursor to “
2. Use the cursor keys to move the cursor and highlight the range of text you want to cut.
”.
3. Press 2(CUT) to cut the highlighted text to the clipboard.
Cutting causes the original characters to be deleted.
u Pasting Text
Move the cursor to the location where you want to paste the text, and then press !c(PASTE). The contents of the clipboard are pasted at the cursor position.
A
!c(PASTE)
k Catalog Function
The Catalog is an alphabetic list of all the commands available on this calculator. You can input a command by calling up the Catalog and then selecting the command you want.
Registering often-used commands to Favorites makes them more easily accessible for input.
u To use the Catalog to input a command
1. Press !a(CATALOG) to display an alphabetic Catalog of commands.
• The screen that appears first is the last one you used for command input.
2-9
2. Press 6(CTGY) to display the category list.
• You can skip this step and go straight to step 5,
if you want.
3. Use the cursor keys ( f, c) to highlight the command category you want, and then press
1(EXE) or w.
• This displays a list of commands in the category you selected.
4. Input the first letter of the command you want to input. This will display the first command
that starts with that letter.
5. Use the cursor keys ( f,c) to highlight the command you want to input, and then press
1(INPUT) orw.
Example To use the Catalog to input the ClrList command
A!a(CATALOG)a1(A-E)
3(C)c~cw
PressingJ or!J(QUIT) closes the Catalog.
uTo register a frequently used commend to Favorites
1. Press !a(CATALOG) to display an alphabetic Catalog of commands.
2. Press 6(CTGY) to display the category list.
• You can skip this step and go straight to step 5, if you want.
3. Use the cursor keys (f,c) to highlight the command category you want, and then press
1(EXE) or w.
4. Input the first letter of the command you want to register to Favorites.
• This will display the first command that begins with that letter.
5. Use f and c to move the highlighting to the command you want to register, and then
press2(FAV).
• This registers the highlighted command to Favorites. A Favorites category list will appear on the display at this time.
Note
• The first six commands in the Favorites category can be input using the function menu that
appears when the a key is pressed twice in succession. The top command is assigned to
key 1(FAV1), the second command to key 2(FAV2), and so on up to 6(FAV6).
• Each time a new command is added to Favorites, it is added to the end of the list. For
information about changing the order of the commands in the list, see “To re-arrange the
sequence of Favorites category list commands” (page 2-11).
2-10
u To input Favorites category commands using the function keys
1. Press the a key twice.
• This displays a function menu for inputting Favorites
category commands.
2. Press the function key (1(FAV1) to 6(FAV6)) that corresponds to the command you
want to input.
u To re-arrange the sequence of Favorites category list commands
1. Press !a(CATALOG) to display the catalog screen, and then press 6(CTGY)c todisplay the Favorites category list.
2. Use f and c to move the highlighting to one of the commands you want to move, and then press 2(SWAP).
3. Use f and c to move the highlighting to the command you want to swap with the command you selected above, and then press 2(SWAP).
uTo delete a command from the Favorites category
While the Favorites category list is displayed, use f and c to move the highlighting to the
command you want to delete, and then press 5(DEL).
4.Option (OPTN) Menu
The option menu gives you access to scientific functions and features that are not marked on
the calculator’s keyboard. The contents of the option menu differ according to the mode you are in when you press the K key.
• The option menu does not appear if you press K while binary, octal, decimal, or
hexadecimal is set as the default number system.
• For details about the commands included on the option (OPTN) menu, see the “K key”
item in the “PRGM Mode Command List” (page 6-31).
• The meanings of the option menu items are described in the sections that cover each mode.
The following list shows the option menu that is displayed when the RUN • MAT or PRGM
mode is selected.
• {LIST} ... {list function menu}
• {MAT} ... {matrix operation menu}
• {CPLX} ... {complex number calculation menu}
• {CALC} ... {functional analysis menu}
2-11
• {STAT} ... {menu for paired-variable statistical estimated value}
The dot value indicates the display range (Xmax value – Xmin value) divided by the screen dot pitch (126). The dot value is normally calculated automatically from the minimum and maximum values. Changing the dot value causes the maximum to be calculated automatically.
• { x1}/{y1}/{x2}/{y2}/{x3}/{y3} ... {coordinates of summary points}
}/{Q3} ... {first quartile}/{third quartile}
1
{PTS} ... {summary point data menu}
uStr — Str command
• { Str} ... {string memory}
6.Program (PRGM) Menu
To display the program (PRGM) menu, first enter theRUN • MAT orPRGM mode from the Main Menu and then press!0(PRGM). The following are the selections available in the program (PRGM) menu.
The following function key menu appears if you press!0(PRGM) in theRUN • MAT mode or thePRGM mode while binary, octal, decimal, or hexadecimal is set as the default number system.
• { Prog} .......{program recall}
• { JUMP}/{?}/{^}/{REL}/{:}
The functions assigned to the function keys are the same as those in the Comp mode.
For details on the commands that are available in the various menus you can access from the
program menu, see “Chapter 6 Programming”.
2-13
7. Using the Setup Screen
The mode’s Setup screen shows the current status of mode settings and lets you make any
changes you want. The following procedure shows how to change a setup.
u To change a mode setup
1. Select the icon you want and press w to enter a mode and display its initial screen. Here
we will enter the RUN • MAT mode.
2. Press !m(SET UP) to display the mode’s Setup screen.
• This Setup screen is just one possible example. Actual
Setup screen contents will differ according to the mode you are in and that mode’s current settings.
3. Use the f andc cursor keys to move the highlighting to the item whose setting you want to change.
4. Press the function key ( 1 to6) that is marked with the setting you want to make.
5. After you are finished making any changes you want, press J to exit the Setup screen.
kSetup Screen Function Key Menus
This section details the settings you can make using the function keys in the Setup screen.
• { Std}/{OnD} ... {Divide total population on its center point between upper and lower groups, with the median of the lower group Q1 and the median of the upper group Q3}/
{Make the value of element whose cumulative frequency ratio is greater than 1/4 and
nearest to 1/4 Q1 and the value of element whose cumulative frequency ratio is greater
than 3/4 and nearest to 3/4 Q3}
u Auto Calc (spreadsheet auto calc)
• { On}/{Off} ... {execute}/{not execute} the formulas automatically
u Show Cell (spreadsheet cell display mode)
• { Form}/{Val} ... {formula}* 1/{value}
2-15
u Move (spreadsheet cell cursor direction) *
• { Low}/{Right} ... {move down}/{move right}
1
Selecting “Form” (formula) causes a formula in the cell to be displayed as a formula. The
*
“Form” does not affect any non-formula data in the cell.
2
*
Specifies the direction the cell cursor moves when you press the w key to register cell
input, when the Sequence command generates a number table, and when you recall data
from List memory.
2
8. When you keep having problems…
If you keep having problems when you are trying to perform operations, try the following before assuming that there is something wrong with the calculator.
kGetting the Calculator Back to its Original Mode Settings
1. From the Main Menu, enter the SYSTEM mode.
2. Press 5(RSET).
3. Press 1(STUP), and then press1(Yes).
4. Press Jm to return to the Main Menu.Now enter the correct mode and perform your calculation again, monitoring the results on the
display.
kRestart and Reset
u Restart
Should the calculator start to act abnormally, you can restart it by pressing the RESTART button. Note, however, that you should only use the RESTART button only as a last resort. Normally, pressing the RESTART button reboots the calculator’s operating system, so programs and other data in calculator memory is retained.
RESTART button
2-16
Important!
The calculator backs up user data (main memory) when you turn power off and loads the
backed up data when you turn power back on.
When you press the RESTART button, the calculator restarts and loads backed up data.
This means that if you press the RESTART button after you edit a program or other data, any
data that has not been backed up will be lost.
u Reset
Use reset when you want to delete all data currently in calculator memory and return all mode
settings to their initial defaults.
Before performing the reset operation, first make a written copy of all important data.For details, see “Reset” (page 9-3).
kLow Battery Message
If the following message appears on the display, immediately turn off the calculator and replace batteries as instructed.
If you continue using the calculator without replacing batteries, power will automatically turn off to protect memory contents. Once this happens, you will not be able to turn power back on,
and there is the danger that memory contents will be corrupted or lost entirely.
• You will not be able to perform data communications operations after the low battery
message appears.
2-17
Chapter 3 Manual Calculations
1. Basic Calculations
k Arithmetic Calculations
• Enter arithmetic calculations as they are written, from left to right.
• Use the - key to input the minus sign before a negative value.
• Calculations are performed internally with a 15-digit mantissa. The result is rounded to a 10-
digit mantissa before it is displayed.
• For mixed arithmetic calculations, multiplication and division are given priority over addition
and subtraction.
ExampleOperation
3
56 × (–12) ÷ (–2.5) = 268.8
(2 + 3) × 10
2 + 3 × (4 + 5) = 29
6
= 0.3
4×5
1
*
Final closed parentheses (immediately before operation of thew key) may be omitted, no
matter how many are required.
2
= 500
56*-12/-2.5w
!*( ( ) 2+3!/( ) )*10xw
2+3*!*( ( ) 4+5w*
6/!*( ( ) 4*5!/( ) )w
1
kNumber of Decimal Places, Number of Significant Digits, Normal
Display Range
• Even after you specify the number of decimal places or the number of significant digits,
internal calculations are still performed using a 15-digit mantissa, and displayed values arestored with a 10-digit mantissa. Use Rnd of the Numeric Calculation Menu (NUM) (page 3-10) to round the displayed value off to the number of decimal place and significant digit settings.
• Number of decimal place (Fix) and significant digit (Sci) settings normally remain in effect
until you change them or until you change the normal display range (Norm) setting.
[SET UP] -[Display]
-
[Fix]/[Sci]/[Norm]
Example 1 100 ÷ 6 = 16.66666666...
ConditionOperationDisplay
4 decimal places
5 significant digits
Cancels specification
1
*
Displayed values are rounded off to the place you specify.
!m(SET UP) ff
1(Fix)ewJw
!m(SET UP) ff
2(Sci)fwJw
!m(SET UP) ff
3-1
100/6w
3(Norm)Jw
16.66666667
16.6667
1
*1*
1.6667
16.66666667
+01
E
1
*1*
Example 2 200 ÷ 7 × 14 = 400
ConditionOperationDisplay
200/7*14w
3 decimal places
!m(SET UP) ff
1(Fix)dwJw
Calculation continues using
display capacity of 10 digits
200/7w
*
14w
• If the same calculation is performed using the specified number of digits:
200/7w
The value stored internally is rounded off to the number of decimal places specified on
K6(g)4(NUM)4(Rnd)w
*
14w
the Setup screen.
200/7w
You can also specify the number of decimal places for rounding of internal values for a specific calculation.
6(g)1(RndFi)K,2!/( ) )
w
*
14w
(Example: To specify rounding to two decimal places)
400
400.000
28.571
Ans ×
I
400.000
28.571
28.571
Ans×
I
399.994
28.571
RndFix(Ans,2)
28.570
Ans×
I
399.980
k Calculation Priority Sequence
This calculator employs true algebraic logic to calculate the parts of a formula in the following
order:
1Type A functions
• Coordinate transformation Pol (
• Functions that include parentheses (such as derivatives, integrations, Σ , etc.)
Median, Mean, Augment, Mat → List, P(, Q(, R(, t(, RndFix, log ab
• Composite functions*
1
, List, Mat, fn2Type B functionsWith these functions, the value is entered and then the function key is pressed.
2
x
,x–1,x!, ° ’ ”, ENG symbols, angle unit °,r,
3 Power/root ^( xy),
4 Fractions
a
x
'
b
/
c
5 Abbreviated multiplication format in front of π , memory name, or variable name.
2 π , 5A, Xmin, H Start, etc.6 Type C functions
With these functions, the function key is pressed and then the value is entered.
3
',
', log, In, ex, 10 x, sin, cos, tan, sin –1, cos –1, tan –1, sinh, cosh, tanh, sinh –1, cosh –1,
–1
tanh
, (–), d, h, b, o, Neg, Not, Det, Trn, Dim, Identity, Ref, Rref, Sum, Prod, Cuml,
You can combine the contents of multiple function memory (fn) locations into composite functions. Specifying fn1(fn2), for example, results in the composite function fn1 °fn2. A composite function can consist of up to five functions.
2
Example 2 + 3 × (log sin2 π
3
3
5
5
6
6
+ 6.8) = 22.07101691 (angle unit = Rad)
1
1
2
2
4
4
• You cannot use a differential, quadratic differential, integration, Σ , maximum/minimum value,
Solve, RndFix or log
b calculation expression inside of a RndFix calculation term.
a
• When functions with the same priority are used in series, execution is performed from right to
left.
x
e
In120→ ex{In(120)}
Otherwise, execution is from left to right.
• Compound functions are executed from right to left.
• Anything contained within parentheses receives highest priority.
kMultiplication Operations without a Multiplication Sign
You can omit the multiplication sign (×) in any of the following operations.
• Before Type A functions (1 on page 3-2) and Type C functions (6 on page 3-2), except for
negative signs
3
Example 1 2sin30, 10log1.2, 2
• Before constants, variable names, memory names
Example 2 2π, 2AB, 3Ans, etc.
, 2Pol(5, 12), etc.
• Before an open parenthesis
Example 3 3(5 + 6), (A + 1)(B – 1), etc.
Note
If you execute a calculation that includes both division and multiplication operations in which
a multiplication sign has been omitted, parentheses will be inserted automatically as shown in
the examples below.
3-3
• When a multiplication sign is omitted immediately before an open parenthesis or after a
Exceeding a specified input or calculation range, or attempting an illegal input causes an error
message to appear on the display. Further operation of the calculator is impossible while an error message is displayed. For details, see the “Error Message Table” on page α-4.
• Most of the calculator’s keys are inoperative while an error message is displayed. Press J
to clear the error and return to normal operation.
k Memory Capacity
Each time you press a key, either one byte or two bytes is used. Some of the functions that require one byte are:b,c,d,!h(sin),!i(cos),!j(tan), and !x(').
Some of the functions that take up two bytes ared/dx(, Mat, Xmin, If, For, Return, and SortA.
2. Special Functions
kCalculations Using Variables
ExampleOperationDisplay
193.2!K(→)a1(A-E)1(A)w
193.2 ÷ 23 = 8.4
193.2 ÷ 28 = 6.9
k Memory
(A)/23w
11(A)/28w
193.2
8.4
6.9
u Variables (Alpha Memory)
This calculator comes with 28 variables as standard. You can use variables to store values
you want to use inside of calculations. Variables are identified by single-letter names, which
are made up of the 26 letters of the alphabet, plus r andθ . The maximum size of values that
you can assign to variables is 15 digits for the mantissa and 2 digits for the exponent.
• Variable contents are retained even when you turn power off.
3-4
u To assign a value to a variable
[value] !K(→) [variable name] w
Example 1 To assign 123 to variable A
Abcd!K(→)a1(A-E)1(A)w
Example 2 To add 456 to variable A and store the result in variable B
Aa1(A-E)1(A)+efg!K(→)a1(A-E)2(B)w
uTo assign the same value to more than one variable
[value]!K(→) [first variable name] a6(SYBL)3(~) [last variable name] w
• You cannot use “
Example To assign a value of 10 to variables A through F
Aba!K(→)a1(A-E)1(A)J6(SYBL)3(~)J2(F-J)1(F)w
r” or “
θ
” as a variable name.
u String Memory
You can store up to 20 strings (named Str 1 to Str 20) in string memory. Stored strings can be
output to the display or used inside functions and commands that support the use of strings as
arguments.
For details about string operations, see “Strings” (page 6-20).
Example To assign string “ABC” to Str 1 and then output Str 1 to the display
Example To delete the contents of function memory number 1
A
K6(g)6(g)3(FMEM)1(STO)bw
• Executing the store operation while the display is blank deletes the function in the function
memory you specify.
k Answer Function
The Answer Function automatically stores the last result you calculated by pressing w (unless thew key operation results in an error). The result is stored in the answer memory.
• The largest value that the answer memory can hold is 15 digits for the mantissa and 2 digits
for the exponent.
• Answer memory contents are not cleared when you press the A key or when you switch
power off.
uTo use the contents of the answer memory in a calculation
Example 123 + 456 = 579
789 –579 = 210
Abcd+efgwhij-Kw
3-7
k Performing Continuous Calculations
Answer memory also lets you use the result of one calculation as one of the arguments in the
next calculation.
Example 1 ÷ 3 =
1 ÷ 3 × 3 =
Ab/dw(Continuing) *dw
Continuous calculations can also be used with Type B functions ( ^(xy),x', ° ’ ”, etc.
2
x
,x–1,x!, on page 3-2), +, –,
3. Specifying the Angle Unit and Display Format
Before performing a calculation for the first time, you should use the Setup screen to specify the angle unit and display format.
k Setting the Angle Unit [SET UP] -[Angle]
1. On the Setup screen, highlight “Angle”.
2. Press the function key for the angle unit you want to specify, then press J.
2. Press the function key for the item you want to set, then press J.
• { Fix}/{Sci}/{Norm}/{Eng} ... {fixed number of decimal places specification}/{number of significant digits specification}/{normal display}/{Engineering mode}
uTo specify the number of decimal places ( Fix)
Example To specify two decimal places
1(Fix)cw
Press the number key that corresponds to the number of decimal places you want to specify
n = 0 to 9).
(
• Displayed values are rounded off to the number of decimal places you specify.
3-8
u To specify the number of significant digits ( Sci)
Example To specify three significant digits
2(Sci)dw
Press the number key that corresponds to the number of significant digits you want to specify
n = 0 to 9). Specifying 0 makes the number of significant digits 10.
(
• Displayed values are rounded off to the number of significant digits you specify.
uTo specify the normal display ( Norm 1/Norm 2)
Press3(Norm) to switch between Norm 1 and Norm 2.
Norm 1: 10
–2
(0.01) > | x|, | x|>10
Norm 2: 10 –9 (0.000000001) > | x|, | x|>10
10
10
uTo specify the engineering notation display ( Eng mode)
Press4(Eng) to switch between engineering notation and standard notation. The indicator “/E” is on the display while engineering notation is in effect.
You can use the following symbols to convert values to engineering notation, such as 2,000 (= 2 × 10
3
)→ 2k.
E (Exa)
P (Peta)
T (Tera)
G (Giga)
M (Mega)
k (kilo)
× 10 × 10 × 10
× 10 × 10 × 10
18
15
12
9
6
3
m (milli)
μ (micro) × 10
n (nano)
p (pico)
f (femto)
× 10
× 10 × 10 × 10
–3
–6
–9
–12
–15
• The engineering symbol that makes the mantissa a value from 1 to 1000 is automatically selected by the calculator when engineering notation is in effect.
3-9
4. Function Calculations
k Function Menus
This calculator includes five function menus that give you access to scientific functions not
printed on the key panel.
• The contents of the function menu differ according to the mode you entered from the Main
Menu before you pressed the K key. The following examples show function menus that
appear in the RUN • MAT or PRGMmode.
x!} ... {press after inputting a value to obtain the factorial of the value}
• {
nPr}/{nCr} ... {permutation}/{combination}
• { RAND} ... {random number generation}
• { Ran#}/{Int}/{Norm}/{Bin}/{List} ... {random number generation (0 to 1)}/{random integer
generation}/{random number generation in accordance with normal distribution based on meanbinomial distribution based on number of trialsn and probabilityp}/{random number generation (0 to 1) and storage of result in ListAns}
• { P(}/{Q(}/{R(} ... normal probability {P(
• {
t(} ... {value of normalized variatet(x)}
ƫ and standard deviationƱ}/{random number generation in accordance with
t)}/{Q(t)}/{R(t)}
uNumeric Calculations (NUM) [OPTN]-[NUM]
• { Abs} ... {select this item and input a value to obtain the absolute value of the value}
• { Int}/{Frac} ... select the item and input a value to extract the {integer}/{fraction} part.
• { Rnd} ... {rounds off the value used for internal calculations to 10 significant digits (to match
the value in the answer memory), or to the number of decimal places (Fix) and number
of significant digits (Sci) specified by you}
• { Intg} ... {select this item and input a value to obtain the largest integer that is not greater than the value}
• { RndFi} ... {rounds off the value used for internal calculations to specified digits (0 to 9) (see
page 3-2).}
• { GCD} ... {greatest common divisor for two values}
• { LCM} ... {least common multiple for two values}
• { MOD} ... {remainder of division (remainder output when
• { MOD
•
E} ... {remainder when division is performed on a power value (remainder output
when
n is raised to p power and then divided by m)}
3-10
n is divided by m)}
u Angle Units, Coordinate Conversion, Sexagesimal Operations (ANGL)
[OPTN]-[ANGL]
• { °}/{r}/{g} ... {degrees}/{radians}/{grads} for a specific input value
• { ° ’ ” }* ... {specifies degrees (hours), minutes, seconds when inputting a degrees/minutes/seconds value}
• {
• The {
}* ... {converts decimal value to degrees/minutes/seconds value}
° ’ ”
} menu operation is available only when there is a calculation result on the display.
• { ENG}/{ENG} ... shifts the decimal place of the displayed value three digits to the {left}/{right}
and {decreases}/{increases} the exponent by three.
When you are using engineering notation, the engineering symbol is also changed
accordingly.
• The {ENG} and {ENG} menu operations are available only when there is a calculation
result on the display.
–12
)}/{femto (10
–15
)}
k Angle Units
• Be sure to specify Comp for Mode in the Setup screen.
ExampleOperation
47.3° + 82.5rad = 4774.20181°
2°20´30˝ + 39´30˝ = 3°00´00˝
Convert 60° to radians.
1.047197551
To convert 2.255 (decimal) to
47.3+82.5K6(g)5(ANGL)2(r)w
2$20$30$+0$39$30$w
!$(
° ’ ”
)
!m(SET UP)cc2(Rad)J
60K6(g)5(ANGL)1(°)w
2.255w!$(
° ’ ”
)
sexagesimal
2°15’18”
k Trigonometric and Inverse Trigonometric Functions
• Be sure to set the angle unit before performing trigonometric function and inverse
trigonometric function calculations.
π
(90° = radians = 100 grads)
(90° = radians = 100 grads)
π
2
2
3-11
• Be sure to specify Comp for Mode in the Setup screen.
• Be sure to specify Comp for Mode in the Setup screen.
ExampleOperation
log 1.23 (log
1.23) = 0.08990511144
10
!a(CATALOG)a3(K-O)2(L)c~c(log)
w1.23w
8 = 3
log
2
K4(CALC)6(g)4(logab)2,8!/( ) )w
(–3)4 = (–3)× (–3)× (–3)× (–3) = 81
!*( ( )-3!/( ) )!a(CATALOG)a6(SYBL)4(9)c~c(^)w4w
7
123 (= 123
17
) = 1.988647795 7!a(CATALOG)a6(SYBL)4(9)c~c
x
(
')w123w
kHyperbolic and Inverse Hyperbolic Functions
• Be sure to specify Comp for Mode in the Setup screen.
ExampleOperation
sinh 3.6 = 18.28545536
20
–1
cosh
= 0.7953654612 K6(g)2(HYP)5(cosh
15
K6(g)2(HYP)1(sinh)3.6w
!/( ) )w
–1
)!*( ( ) 20/15
3-12
k Other Functions
• Be sure to specify Comp for Mode in the Setup screen.
ExampleOperation
'2 + '5 = 3.65028154
2
(–3)
= (–3) × (–3) = 9
8! (= 1 × 2 × 3 × .... × 8) = 40320
What is the integer part of – 3.5? – 3
!x(')2+!x(') 5w
!*( ( )-3!/( ) )xw
8K6(g)3(PROB)1(
K6(g)4(NUM)2(Int)-3.5w
x!)w
k Random Number Generation (RAND)
uRandom Number Generation (0 to 1) (Ran#, RanList#)
Ran# and RanList# generate 10 digit random numbers randomly or sequentially from 0 to 1. Ran# returns a single random number, while RanList# returns multiple random numbers in list
form. The following shows the syntaxes of Ran# and RanList#.
Ran# [a] 1 <RanList# (n [,a]) 1 <
•
n is the number of trials. RanList# generates the number of random numbers that
corresponds ton and displays them on the ListAns screen. A value must be input forn.
a< 9n< 999
• “
a” is the randomization sequence. Random numbers are returned if nothing is input for “ a”.
Entering an integer of 1 through 9 fora will return the corresponding sequential random number.
• Executing the function Ran# 0 initializes the sequences of both Ran# and RanList#. The sequence also is initialized when a sequential random number is generated with a differentsequence of the previous execution using Ran# or RanList#, or when generating a randomnumber.
Ran# Examples
ExampleOperation
Ran#(Generates a random number.)
(Each press of w generates a new random number.)
Ran# 1
(Generates the first random number in sequence 1.)
(Generates the second random number in sequence 1.)
Ran# 0
(Initializes the sequence.)
K6(g)3(PROB)4(RAND)1(Ran#)w
ww
K6(g)3(PROB)4(RAND)
1(Ran#)1w
w
1(Ran#)0w
Ran# 1
(Generates the first random number in sequence 1.)
3-13
1(Ran#)1w
RanList# Examples
ExampleOperation
RanList# (4)
(Generates four random numbers and
displays the result on the ListAns screen.)
RanList# (3, 1)
(Generates from the first to the third random
numbers of sequence 1 and displays the
result on the ListAns screen.)
(Next, generates from the fourth to the sixth random number of sequence 1 and displays the result on the ListAns screen.)
Ran# 0(Initializes the sequence.)
RanList# (3, 1)(Re-generates from the first to the third random numbers of sequence 1 and displays the result on the ListAns screen.)
K6(g)3(PROB)4(RAND)5(List)
4!/( ) )
JK6(g)3(PROB)4(RAND)
5(List) 3,1!/( ) )w
Jw
J1(Ran#)0w
5(List)3,1!/( ) )w
w
uRandom Integer Generation (RanInt#)
RanInt# generates random integers that fall between two specified integers.RanInt# (A, B [,n]) A < B |A|,|B| < 1
• A is the start value and B is the end value. Omitting a value for number as-is. Specifying a value forn returns the specified number of random values in listform.
ExampleOperation
RanInt# (1, 5) (Generates one random integer from 1 and
5.)
RanInt# (1, 10, 5)(Generates five random integers from 1 to 10 and displays the result on the ListAns screen.)
E10 B – A < 1 E10 1<n< 999
n returns a generated random
K6(g)3(PROB)4(RAND)2(Int)
1,5!/( ) )w
K6(g)3(PROB)4(RAND)2(Int)
1,10,5!/( ) )w
u Random Number Generation in Accordance with Normal Distribution
(RanNorm#)
This function generates a 10-digit random number in accordance with normal distribution
based on a specified mean
RanNorm# (
• Omitting a value for
returns the specified number of random values in list form.
Ʊ, ƫ [,n])Ʊ > 0 1 < n < 999
ƫ and standard deviation Ʊ values.
n returns a generated random number as-is. Specifying a value for n
3-14
ExampleOperation
RanNorm# (8, 68)
(Randomly produces a body length value
obtained in accordance with the normal
distribution of a group of infants less than
one year old with a mean body length of
68cm and standard deviation of 8.)
RanNorm# (8, 68, 5)
(Randomly produces the body lengths of five
infants in the above example, and displays them in a list.)
K6(g)3(PROB)4(RAND)3(Norm)
8,68!/( ) )w
K6(g)3(PROB)4(RAND)3(Norm)
8,68,5!/( ) )
w
uRandom Number Generation in Accordance with Binomial Distribution
(RanBin#)
This function generates random integers in accordance with binomial distribution based on values specified for the number of trialsn and probabilityp.
RanBin# (n, p [,m]) 1 <
• Omitting a value for returns the specified number of random values in list form.
n< 100000 1<m< 999 0<p< 1
m returns a generated random number as-is. Specifying a value form
ExampleOperation
RanBin# (5, 0.5)(Randomly produces the number of heads that can be expected in accordance with binomial distribution for five coin tosses where the probability of heads is 0.5.)
RanBin# (5, 0.5, 3)(Performs the same coin toss sequence described above three times and displays the results in a list.)
K6(g)3(PROB)4(RAND)4(Bin)5,0.5!/( ) )w
K6(g)3(PROB)4(RAND)4(Bin)
5,0.5,3!/( ) )w
k Coordinate Conversion
You can perform coordinate conversion using the following key operations: !-(Pol) or !+(Rec).
u Rectangular Coordinates u Polar Coordinates
• With polar coordinates,
–180°< Ƨ < 180° (radians and grads have same range).
• Be sure to specify Comp for Mode in the Setup screen.
Ƨ can be calculated and displayed within a range of
• Be sure to specify Comp for Mode in the Setup screen.
Example What is the logical AND of A and B when A = 3 and B = 2?
AAND B = 1
OperationDisplay
3!K(→)a1(A-E)1(A)w2!K(→)a1(A-E)2(B)w
1(A)K6(g)6(g)4(LOGIC)
1(And)a1(A-E)2(B)w
1
uAbout Logical Operations
• A logical operation always produces either 0 or 1 as its result.
• The following table shows all of possible results that can be produced by AND, OR and XOR
operations.
Value or Expression A Value or Expression B A AND B A OR B A XOR B
A≠ 0 B≠ 0 A≠ 0
A = 0
A = 0 B = 0 000
• The following table shows the results produced by the NOT operation.
Value or Expression A NOT A
A≠ 0
A = 0 1
B = 0 011
B≠ 0
0
110
011
3-18
5. Numerical Calculations
The following explains the numerical calculation operations included in the function menu
displayed when K4(CALC) is pressed. The following calculations can be performed.
kQuotient of Integer ÷ Integer [OPTN]-[CALC]-[Int÷]
The “Int÷” function can be used to determine the quotient when one integer is divided by another integer.
Example To calculate the quotient of 107 ÷ 7
AbahK4(CALC)6(g)6(g)1(Int÷)hw
kRemainder of Integer ÷ Integer [OPTN]-[CALC]-[Rmdr]
The “Rmdr” function can be used to determine the remainder when one integer is divided by another integer.
Example To calculate the remainder of 107 ÷ 7
AbahK4(CALC)6(g)6(g)2(Rmdr)hw
k Simplification [OPTN]-[CALC]-[Simp]
The “ 'Simp” function can be used to simplify fractions manually. The following operations can
be used to perform simplification when an unsimplified calculation result is on the display.
• { Simp} w ... This function automatically simplifies the displayed calculation result using the
smallest prime number available. The prime number used and the simplified result are
shown on the display.
• { Simp}
n w ... This function performs simplification according to the specified divisor n.
3-19
Under initial default settings, this calculator automatically simplifies fraction calculation results
before displaying them. Before performing the following examples, use the Setup screen to
change the “Simplify” setting from “Auto” to “Manual” (page 2-15).
• When “a+b
calculation results always are simplified before being displayed, even if the “Simplify” setting
is “Manual”.
• If you want to simplify fractions manually (Simplify: Manual), make sure that the “Real” is
selected for the “Complex Mode” setting.
• The right side, variable, lower limit and upper limit all can be omitted.
• “left side[=right side]” is the expression to be solved. Supported variables are A through Z,
andθ . When the right side is omitted, solution is perform using right side = 0.
• The variable specifies the variable within the expression to be solved for (A through Z, Omitting a variable specification cause X to be used as the variable.
• The lower limit and upper limit specify the range of the solution. You can input a value or an
expression as the range.
• The following functions cannot be used within any of the arguments.
Solve(,
Up to 10 calculation results can be displayed simultaneously in ListAns format.
• The message “No Solution” is displayed if no solution exists.
• The message “More solutions may exist.” is displayed when there may be solutions other than those displayed by SolvN.
2
d
/dx2, FMin(, FMax(,Σ (
f(x) function using numerical analysis. The following is the
r,
θ
r,
).
Example To solve
K4(CALC)5(SolvN)a5(U-Z)4(X)x-f4(X)
-g!/( ) )w
J
2
x
– 5 x– 6 = 0
3-21
k Differential Calculations [OPTN]-[CALC]-[d/dx]
To perform differential calculations, first display the function analysis menu, and then input the
values using the syntax below.
K4(CALC)2(
(
a: point for which you want to determine the derivative, tol: tolerance)
d/dx
d/dx
(f
(f
d/dx) f(x),a,tol!/( ) )
d
d
f
f
(a)
(x)
(x)
a
a
)
)
⇒
⇒
,
,
dx
dx
(a)
The differentiation for this type of calculation is defined as:
f(a
'
'
f (a
f (a
)=lim
)=lim
f(a
–––––––––––––
–––––––––––––
x
x
0
0
→
→
A
A
In this definition,infinitesimal is replaced by asufficiently small A
+
+
A
A
x)–f(a
x)–f(a
x
x
A
A
)
)
x, with the value in the
neighborhood of f'(a) calculated as:
f(a
'
'
f (a
f (a
f(a
)
)
–––––––––––––
–––––––––––––
+
+
A
A
x)–f(a
x)–f(a
x
x
A
A
)
)
In order to provide the best precision possible, this unit employscentral difference to performdifferential calculations.
Example To determine the derivative at point
3
y =x
+ 4 x2 +x – 6, with a tolerance of “ tol” = 1 E – 5
Input the function
f(x).
x = 3 for the function
AK4(CALC)2(
d/dx)a5(U-Z)4(X)!a(CATALOG)
a6(SYBL)4(9)c~c(^)wd+ea5(U-Z)4(X)x+4(X)-g,
Input point
x =a for which you want to determine the derivative.
d,
Input the tolerance value.
b!a(CATALOG)a1(A-E)5(E)c~c(EXP)w-f!/( ) )w
Differential Calculation Precautions
• In the function f(x), only X can be used as a variable in expressions. Other variables (A through Z excluding X,that variable is applied during the calculation.
• Input of the tolerance ( tolerance ( tol) value, the calculator automatically uses a value fortol as 1 E–10.
• Specify a tolerance (
solution that satisfies the tolerance value can be obtained.
r,Ƨ) are treated as constants, and the value currently assigned to
tol) value and the closing parenthesis can be omitted. If you omit
tol) value of 1 E–14 or greater. An error (Time Out) occurs whenever no
• Pressing A during calculation of a differential (while the cursor is not shown on the display)
interrupts the calculation.
• Inaccurate results and errors can be caused by the following:
- discontinuous points in
- extreme changes in
- inclusion of the local maximum point and local minimum point in
x values
x values
x values
3-22
- inclusion of the inflection point in x values
- inclusion of undifferentiable points in
x values
- differential calculation results approaching zero
• Always use radians (Rad mode) as the angle unit when performing trigonometric
differentials.
• You cannot use a differential, quadratic differential, integration, Σ , maximum/minimum value,
Solve, RndFix or log
b calculation expression inside a differential calculation term.
After displaying the function analysis menu, you can input quadratic differentials using the following syntax.
K4(CALC)3( (
a: differential coefficient point,tol: tolerance)
Quadratic differential calculations produce an approximate differential value using the following
second order differential formula, which is based on Newton’s polynomial interpretation.
In this expression, values for “sufficiently small increments ofapproximatesf"(a).
2
d
/dx2)f(x),a,tol!/( ) )
h” are used to obtain a value that
2
]
Example To determine the quadratic differential coefficient at the point where
• With quadratic differential calculation, calculation precision is up to five digits for the
mantissa.
• The rules that apply for linear differential also apply when using a quadratic differential
calculation. See “Differential Calculation Precautions” on page 3-22.
3-23
k Integration Calculations [OPTN]-[CALC]-[∫ dx]
∫
∫
∫
x
∫
∫
x
∫
∫
To perform integration calculations, first display the function analysis menu and then input the
values using the syntax below.
K4(CALC)4(∫
: start point,b: end point,
(
a
f(x),a
f(x),a
(
(
As shown in the illustration above, integration calculations are performed by calculating integral values fromeffect calculates the surface area of the shaded area in the illustration.
Example 1 To perform the integration calculation for the function shown below,
dx) f(x) , a , b , tol !/( ) )
: tolerance)
tol
b
b, tol
b, tol
,
,
b
f(x)d
⇒
⇒
a
a
f(x)d
Area of
b
f(x)dx
a
is calculated
)
)
a throughb for the functiony =f ( x) wherea<x<b, andf ( x)> 0. This in
with a tolerance of “
5
5
(2x2 + 3x + 4) dx
(2x2 + 3x + 4) dx
1
1
tol” = 1 E – 4
Input the function
AK4(CALC)4(∫
Input the start point and end point.
b,f,
Input the tolerance value.
b!a(CATALOG)a1(A-E)5(E)c~c(EXP)w-e!/( ) ) w
Example 2 When the angle unit setting is degrees, trigonometric function
Note the following points to ensure correct integration values.
f(x).
dx)ca5(U-Z)4(X)x+d4(X)+e,
integration calculation is performed using radians (Angle unit = Deg)
Examples Calculation Result Display
3-24
(1) When cyclical functions for integration values become positive or negative for different
∫
∫
∫
∫
∫
∫
∫
∫
∫
∫
x
∫
∫
∫
∫
x
divisions, perform the calculation for single cycles, or divide between negative and positive,
and then add the results together.
Positive
part (
)
S
Negative part (
b
b
f(x)dx =
f(x)dx =
a
a
Positive part ( S) Negative part ( S)
(2)When minute fluctuations in integration divisions produce large fluctuations in integration
values, calculate the integration divisions separately (divide the large fluctuation areas into
smaller divisions), and then add the results together.
x
x
1
b
b
f(x)dx =
f(x)dx =
a
a
1
f(x)dx
f(x)dx
a
a
+
+
c
c
f(x)dx
f(x)dx
a
a
x
x
x
x
2
2
f(x)dx
f(x)dx
1
1
S
+
+
)
b
b
f(x)dx
f(x)dx
c
c
+.....+
+.....+
b
b
x
x
4
4
f(x)d
f(x)d
• Pressing A during calculation of an integral (while the cursor is not shown on the display)interrupts the calculation.
• Always use radians (Rad mode) as the angle unit when performing trigonometric integrations.
• An error (Time Out) occurs whenever no solution that satisfies the tolerance value can be obtained.
Integration Calculation Precautions
• In the function f(x), only X can be used as a variable in expressions. Other variables (A through Z excluding X,that variable is applied during the calculation.
• Input of “ automatically uses a default value of 1 E–5.
• Integration calculations can take a long time to complete.
• You cannot use a differential, quadratic differential, integration, Σ , maximum/minimum value,
Solve, RndFix or log
tol” and closing parenthesis can be omitted. If you omit “ tol,” the calculator
r,Ƨ) are treated as constants, and the value currently assigned to
b calculation expression inside of an integration calculation term.
a
3-25
k Σ Calculations [OPTN]-[CALC]-[Σ (]
Σ
To perform Σ calculations, first display the function analysis menu, and then input the values
using the syntax below.
• The value of the specified variable changes during a Σ calculation. Be sure to keep separate
written records of the specified variable values you might need later before you perform thecalculation.
• You can use only one variable in the function for input sequence
• Input integers only for the initial term (
• Input of
n and the closing parentheses can be omitted. If you omitn, the calculator
α
) of sequenceak and last term ( β ) of sequenceak.
ak.
automatically usesn = 1.
• Make sure that the value used as the final term
β
is greater than the value used as the initial
termα . Otherwise, an error will occur.
• To interrupt an ongoing Σ calculation (indicated when the cursor is not on the display), press
theA key.
• You cannot use a differential, quadratic differential, integration, Σ , maximum/minimum value,
Solve, RndFix or log
b calculation expression inside of aΣ calculation term.
a
kMaximum/Minimum Value Calculations [OPTN]-[CALC]-[FMin]/[FMax]
After displaying the function analysis menu, you can input maximum/minimum calculations
using the formats below, and solve for the maximum and minimum of a function within interval
a < x < b.
u Minimum Value
K4(CALC)6(g)1(FMin) f (x) , a , b , n !/( ) )
(
a: start point of interval, b: end point of interval, n: precision ( n = 1 to 9))
3-26
u Maximum Value
K4(CALC)6(g)2(FMax) f (x), a , b , n !/( ) )
(
a: start point of interval, b: end point of interval, n: precision ( n = 1 to 9))
Example To determine the minimum value for the interval defined by start
point
y = x
Input
f (x).
AK4(CALC)6(g)1(FMin)a5(U-Z)4(X)x-e4(X)+j,
a = 0 and end point b = 3, with a precision of n = 6 for the function
2
– 4 x + 9
Input the interval
a,d,
Input the precision
g!/( ) )w
• In the function through Z excluding X,r,Ƨ) are treated as constants, and the value currently assigned to that variable is applied during the calculation.
• Input of
• Discontinuous points or sections with drastic fluctuation can adversely affect precision or even cause an error.
• Inputting a larger value for the amount of time required to perform the calculation.
• The value you input for the end point of the interval ( input for the start point ( a). Otherwise an error occurs.
• You can interrupt an ongoing maximum/minimum calculation by pressing the A key.
n and the closing parenthesis can be omitted.
a = 0,b = 3.
n = 6.
f(x), only X can be used as a variable in expressions. Other variables (A
n increases the precision of the calculation, but it also increases
b) must be greater than the value you
• You can input an integer in the range of 1 to 9 for the value of range causes an error.
• You cannot use a differential, quadratic differential, integration, Σ , maximum/minimum value,
Solve, RndFix or log term.
b calculation expression inside of a maximum/minimum calculation
a
3-27
n. Using any value outside this
6. Complex Number Calculations
You can perform addition, subtraction, multiplication, division, parentheses calculations,
function calculations, and memory calculations with complex numbers just as you do with the
manual calculations described on pages 3-1 to 3-13.
You can select the complex number calculation mode by changing the Complex Mode item on
the Setup screen to one of the following settings.
• { Real} ... Calculation in the real number range only*
• { a+bi} ... Performs complex number calculation and displays results in rectangular form
• {
r∠ Ƨ} ... Performs complex number calculation and displays results in polar form*
*1When there is an imaginary number in the argument, however, complex number calculation
is performed and the result is displayed using rectangular form. Examples: ln 2
i= 0.6931471806 + 1.570796327 i
ln 2 i + ln (– 2) = (Non-Real ERROR)
2
*
The display range ofƧ depends on the angle unit set for the Angle item on the Setup
screen.
• Deg ... –180 <
• Rad ... – π <
• Gra ... –200 <
PressK3(CPLX) to display the complex calculation number menu, which contains the following items.
7. Binary, Octal, Decimal, and Hexadecimal Calculations with Integers
You can use theRUN • MAT mode and binary, octal, decimal, and hexadecimal settings to perform calculations that involve binary, octal, decimal and hexadecimal values. You can also
convert between number systems and perform bitwise operations.
• You cannot use scientific functions in binary, octal, decimal, and hexadecimal calculations.
• You can use only integers in binary, octal, decimal, and hexadecimal calculations, which
means that fractional values are not allowed. If you input a value that includes a decimal part, the calculator automatically cuts off the decimal part.
• If you attempt to enter a value that is invalid for the number system (binary, octal, decimal,
hexadecimal) you are using, the calculator displays an error message. The following shows
the numerals that can be used in each number system.
uTo perform a binary, octal, decimal, or hexadecimal calculation
[SET UP] -[Mode]-[Dec]/[Hex]/[Bin]/[Oct]
1. In the Main Menu, select RUN • MAT .
2. Press !m(SET UP). Move the highlighting to “Mode”, and then specify the default
number system by pressing2(Dec),3(Hex),4(Bin), or5(Oct) for the Mode setting.
3. Press J to change to the screen for calculation input. This causes a function menu with
the following items to appear.
• { d~o}/{LOG}/{DISP}/{HEX} ... {number system specification}/{bitwise operation}/
{decimal/hexadecimal/binary/octal conversion}/{hexadecimal letter (A through F) input} menu
kSelecting a Number System
You can specify decimal, hexadecimal, binary, or octal as the default number system using the
Setup screen.
u To specify a number system for an input value
You can specify a number system for each individual value you input. Press 1(d~o) to
display a menu of number system symbols. Press the function key that corresponds to the
symbol you want to select and then input the value.
!m(SET UP) Move the highlighting to “Mode”, and then
press4(Bin)J.A2(LOG)1(Neg)bbaabaw
• Negative binary, octal, and hexadecimal values are produced by taking the binary two’s
complement and then returning the result to the original number base. With the decimal number base, negative values are displayed with a minus sign.
u Bitwise Operations
Example To input and execute “120 16 and AD 16”
!m(SET UP) Move the highlighting to “Mode”, and then
press 3(Hex)J.
Abca2(LOG)3(and)J4(HEX)1(A)4(D)w
k Number System Transformation
Press 3(DISP) to display a menu of number system transformation functions.
• {
'Dec}/{'Hex}/{'Bin}/{'Oct} ... transformation of displayed value to its {decimal}/
{hexadecimal}/{binary}/{octal} equivalent
3-33
u To convert a displayed value from one number system to another
Example To convert 22 10 (default number system) to its binary or octal value
A!m(SET UP)
Move the highlighting to “Mode”, and then
press 2(Dec)J.
1(d~o)1(d)ccw
J3(DISP)3('Bin)w
4('Oct)w
8. Matrix Calculations
From the Main Menu, enter theRUN•MAT mode, and press1('MAT) to perform Matrix calculations.
26 matrix memories (Mat A through Mat Z) plus a Matrix Answer Memory (MatAns), make it possible to perform the following matrix operations.
• Addition, subtraction, multiplication, division
• Scalar multiplication calculations
• Determinant calculations
• Matrix transposition
• Matrix inversion
• Matrix squaring
• Raising a matrix to a specific power
• Absolute value, integer part extraction, fractional part extraction, maximum integer
calculations
• Inputting complex numbers in matrix elements and using complex number related functions
• Matrix modification using matrix commandsThe maximum number of rows that can be specified for a matrix is 999, and the maximum
number of columns is 999.
About Matrix Answer Memory (MatAns)
• The calculator automatically stores matrix calculation results in Matrix Answer Memory. Note
the following points about Matrix Answer Memory.
• Whenever you perform a matrix calculation, the current Matrix Answer Memory contents are
replaced by the new result. The previous contents are deleted and cannot be recovered.
• Inputting values into a matrix does not affect Matrix Answer Memory contents.
3-34
k Inputting and Editing Matrices
Pressing 1('MAT) displays the Matrix Editor screen. Use the Matrix Editor to input and edit
matrices.
None… no matrix preset
• { DEL}/{DEL
• { DIM} ... {specifies the matrix dimensions (number of cells)}
• {CSV} ... {transfers data between matrices and CSV files}
•
A} ... deletes {a specific matrix}/{all matrices}
m × n … m (row) × n (column) matrix
uCreating a Matrix
To create a matrix, you must first define its dimensions (size) in the Matrix Editor. Then you can input values into the matrix.
uTo specify the dimensions (size) of a matrix
Example To create a 2-row × 3-column matrix in the area named Mat B
Highlight Mat B. c
3(DIM) (This step can be omitted.)Specify the number of rows.
cw
Specify the number of columns.
dw
w
• All of the cells of a new matrix contain the value 0.
• Changing the dimensions of a matrix deletes its current contents.
• If “Memory ERROR” remains next to the matrix area name after you input the dimensions, it
means there is not enough free memory to create the matrix you want.
u To input cell values
Example To input the following data into Matrix B:
1 2 3
1 2 3
4 5 6
4 5 6
3-35
The following operation is a continuation of the example calculation in “To specify the
dimensions (size) of a matrix”.
bwcwdwewfwgw(Data is input into the highlighted cell. Each
time you press w, the highlighting moves to the next cell to the right.)
• Displayed cell values show positive integers up to six digits, and negative integers up to five
digits (one digit used for the negative sign). Exponential values are shown with up to two digits for the exponent. Fractional values are not displayed.
uDeleting Matrices
You can delete either a specific matrix or all matrices in memory.
uTo delete a specific matrix
1.While the Matrix Editor is on the display, usef andc to highlight the matrix you want to
delete.
2.Press1(DEL).
3.Press1(Yes) to delete the matrix or6(No) to abort the operation without deleting
anything.
uTo delete all matrices
1.While the Matrix Editor is on the display, press2(DEL•A).
2.Press1(Yes) to delete all matrices in memory or6(No) to abort the operation without
deleting anything.
kMatrix Cell Operations
Use the following procedure to prepare a matrix for cell operations.
1.While the Matrix Editor is on the display, usef andc to highlight the name of the matrix
you want to use.You can jump to a specific matrix by inputting the letter that corresponds to the matrix name. Inputtinga3(K-O)4(N), for example, jumps to Mat N.PressingK jumps to the matrix current memory.
2.Pressw and the function menu with the following items appears.
The following menu appears whenever you press 1(R-OP) while a recalled matrix is on the
display.
• { Swap} ... {row swap}
• { × Rw} ... {product of specified row and scalar}
• { × Rw+} ... {addition of one row and the product of a specified row with a scalar}
• { Rw+} ... {addition of specified row to another row}
uTo swap two rows
Example To swap rows two and three of the following matrix:
All of the operation examples are performed using the following matrix.
1 2
Matrix A=
1(R-OP)1(Swap)
3 4
5 6
Input the number of the rows you want to swap.cwdww
uTo calculate the scalar multiplication of a row
Example To calculate the product of row 2 and the scalar 4
1(R-OP)2(× Rw)Input multiplier value.*ewSpecify row number.cww* A complex number also can be input as multiplier value (k).
uTo calculate the scalar multiplication of a row and add the result to another
row
Example To calculate the product of row 2 and the scalar 4, then add the result to
row 3
1(R-OP)3(× Rw+)
Input multiplier value.*
ew
Specify number of row whose product should be calculated.
cw
Specify number of row where result should be added.
dww
* A complex number also can be input as multiplier value (k).
3-37
u To add two rows together
Example To add row 2 to row 3
1(R-OP)4(Rw+)
Specify number of row to be added.
cw
Specify number of row to be added to.
dww
u Row Operations
• { DEL} ... {delete row}
• { INS} ... {insert row}
• { ADD} ... {add row}
uTo delete a row
Example To delete row 2
2(ROW)c
1(DEL)
uTo insert a row
Example To insert a new row between rows one and two
2(ROW)c2(INS)
uTo add a row
Example To add a new row below row 3
2(ROW)cc3(ADD)
3-38
u Column Operations
• { DEL} ... {delete column}
• { INS} ... {insert column}
• { ADD} ... {add column}
u To delete a column
Example To delete column 2
3(COL)e1(DEL)
kTransferring Data between Matrices and CSV Files
You can import the contents of a CSV file stored with this calculator or transferred from a computer into one of the matrix memories (Mat A through Mat Z, and MatAns). You also cansave the contents of one of the matrix memories (Mat A through Mat Z, and MatAns) as a CSV
file.
uTo import the contents of a CSV file to a matrix memory
1. Prepare the CSV file you want to import.
• See “Import CSV File Requirements” (page 4-13).
2. While the Matrix Editor is on the display, use f and c to highlight the name of the matrix
to which you want to import the CSV file contents.
• If the matrix you select already contains data, performing the following steps will overwrite
its current contents with the newly imported CSV file data.
3. Press 4(CSV)1(LOAD).
• This will display a dialog box for specifying whether a CSV file should be imported from storage memory or the SD card.
4. Select b(Storage Mem) to select storage memory, or c(SD Card) to select the SD card.
• Pressing w in the next step will overwrite the specified matrix memory data with the CSV
file data.
5. On the select file dialog box that appears, use f and c to move the highlighting to the file you want to import and then press w.
• This imports the contents of the CSV file you specified to the matrix memory.
Important!
Attempting to import the following types of CSV files will result in an error.
• A CSV file that includes data that cannot be converted. In this case, an error message will
appear showing the location in the CSV file (Example: row 2, column 3) where the data that
cannot be converted is located.
• A CSV file with more than 999 columns or 999 rows. In this case, an “Invalid Data Size” error
will occur.
3-39
u To save matrix contents as a CSV file
1. While the Matrix Editor is on the display, use f and c to highlight the name of the matrix
whose contents you want to save as a CSV file.
2. Press 4(CSV)2(SV
• This will display a dialog box for specifying whether the CSV file should be saved to
storage memory or the SD card.
3. Select b(Storage Mem) to select storage memory, or c(SD Card) to select the SD card.
• This displays a folder selection screen.
4. Select the folder where you want to save the CSV file.
• To store the CSV file in the root directory, highlight “ROOT”.
• To store the CSV file in a folder, use f and c to move the highlighting to the desired
folder and then press 1(OPEN).
5. Press 1(SV
6. Input up to eight characters for the file name and then press w.
•
AS).
•
AS).
Important!
• When saving matrix data to a CSV file, some data is converted as described below.
- Complex number data: Only the real number part is extracted.
- Fraction data: Converted to calculation line format (Example: 2{3{4→ =2+3/4)
uTo specify the CSV file delimiter symbol and decimal point
While the Matrix Editor is on the display, press 4(CSV)3(SET) to display the CSV formatsetting screen. Next, perform the procedure from step 3 under “Specifying the CSV File Delimiter Symbol and Decimal Point” (page 4-15).
kModifying Matrices Using Matrix Commands [OPTN]-[MAT]
uTo display the matrix commands
1. From the Main Menu, enter the RUN • MAT mode.
2. Press K to display the option menu.
3. Press 2(MAT) to display the matrix command menu.
The following describes only the matrix command menu items that are used for creating matrices and inputting matrix data.
• { Mat} ... {Mat command (matrix specification)}
• { M→ L} ... {Mat → List command (assign contents of selected column to list file)}
• { Aug} ... {Augment command (link two matrices)}
• An error occurs if memory becomes full as you are inputting data.
• You can also use the above format inside a program that inputs matrix data.
uTo input an identity matrix [OPTN]-[MAT] -[Iden]
Use the Identity command to create an identity matrix.
Example To create a 3 × 3 identity matrix as Matrix A
K2(MAT)6(g)1(Iden)d!K(→)6(g)1(Mat)a
Number of rows/columns
1(A-E)1(A)w
u To check the dimensions of a matrix [OPTN]-[MAT] -[Dim]
Use the Dim command to check the dimensions of an existing matrix.
3-41
Example 1 To check the dimensions of Matrix A
K2(MAT)6(g)2(Dim)6(g)1(Mat)a1(A-E)1(A)w
The display shows that Matrix A consists of two rows and three columns.
Since the result of the Dim command is list type data, it is stored in ListAns Memory.
You can also use {Dim} to specify the dimensions of the matrix.
Example 2 To specify dimensions of 2 rows and 3 columns for Matrix B
You can also use matrix commands to assign values to and recall values from an existing matrix, to fill in all cells of an existing matrix with the same value, to combine two matrices into
a single matrix, and to assign the contents of a matrix column to a list file.
uTo assign values to and recall values from an existing matrix
[OPTN]-[MAT] -[Mat]
Use the following format with the Mat command to specify a cell for value assignment and recall.
Mat X [ X = matrix name (A through Z, or Ans)
m = row numbern = column number
Example 1 To assign 10 to the cell at row 1, column 2 of the following matrix:
u To fill a matrix with identical values and to combine two matrices into a
single matrix
Use the Fill command to fill all the cells of an existing matrix with an identical value and the Augment command to combine two existing matrices into a single matrix.
Example 1 To fill all of the cells of Matrix A with the value 3
• Only square matrices (same number of rows and columns) can be inverted. Trying to invert a
matrix that is not square produces an error.
• A matrix with a determinant of zero cannot be inverted. Trying to invert a matrix with
determinant of zero produces an error.
• Calculation precision is affected for matrices whose determinant is near zero.
• A matrix being inverted must satisfy the conditions shown below.
A A–1 = A–1 A = E =
1 00 1
3 4
3 4
–1
]
The following shows the formula used to invert Matrix A into inverse matrix A –1.
a b
c d
1
ad – bc
d–b
–ca
A =
A–1=
Note that ad – bc ≠ 0.
3-46
u Squaring a Matrix [x
Example To square the following matrix:
1 2
1 2
Matrix A =
K2(MAT)1(Mat)a1(A-E)1(A)xw
3 4
3 4
uRaising a Matrix to a Power [^]
Example To raise the following matrix to the third power:
1 2
1 2
Matrix A=
K2(MAT)1(Mat)a1(A-E)1(A)!a(CATALOG)a6(SYBL)
3 4
3 4
2
]
4(9)c~c(^)wdw
• For matrix power calculations, calculation is possible up to a power of 32766.
u Determining the Absolute Value, Integer Part,Fraction Part, andMaximum
Integer of a Matrix
Example To determine the absolute value of the following matrix:
1 –2
1 –2
Matrix A=
K6(g)4(NUM)1(Abs)K2(MAT)1(Mat)a1(A-E)1(A)w
–3 4
–3 4
[OPTN]-[NUM]-[Abs]/[Frac]/[Int]/[Intg]
uComplex Number Calculations with a Matrix
Example To determine the absolute value of a matrix with the following complex
number elements:
i
–1 + i 1 +
–1 + i 1 +
Matrix D =
AK6(g)4(NUM)1(Abs)
K2(MAT)1(Mat)a1(A-E)
4(D)w
1 + i –2 + 2
1 + i –2 + 2
i
3-47
i
i
• The following complex number functions are supported in matrices.
i, Abs, Arg, Conjg, ReP, ImP
Matrix Calculation Precautions
• Determinants and inverse matrices are subject to error due to dropped digits.
• Matrix operations are performed individually on each cell, so calculations may require
considerable time to complete.
• The calculation precision of displayed results for matrix calculations is ± 1 at the least
significant digit.
• If a matrix calculation result is too large to fit into Matrix Answer Memory, an error occurs.
• You can use the following operation to transfer Matrix Answer Memory contents to another
matrix (or when Matrix Answer Memory contains a determinant to a variable).
MatAns → MatIn the above, α is any variable name A through Z. The above does not affect the contents of
Matrix Answer Memory.
α
9.Metric Conversion Calculations
You can convert values from one unit of measurement to another. Measurement units are classified according to the following 11 categories. The indicators in the “Display Name” column show the text that appears in the calculator’s function menu.
Display Name CategoryDisplay Name CategoryDisplay Name Category
LENGLengthTMPRTemperaturePRESPressure
AREAAreaVELOVelocityENGYEnergy/Work
VLUMVolumeMASSMassPWRPower
TIMETimeFORCForce/Weight
You can convert from any unit in a category to any other unit in the same category.
• Attempting to convert from a unit in one category (such as “AREA”) to a unit in another
category (such as “TIME”) results in a Conversion ERROR.
• See the “Unit Conversion Command List” (page 3-50) for information about the units
included in each category.
k Performing a Unit Conversion Calculation [OPTN]-[CONV]
Input the value you are converting from and the conversion commands using the syntax
shown below to perform a unit conversion calculation.
• Use {conversion command 1} to specify the unit being converted from and {conversion
command 2} to specify the unit being converted to.
• ' is a command that links the two conversion commands. This command is always available
at 1(') of the Conversion menu.
3-48
• Real numbers or a list that contains real number elements only can be used as the value
being converted from. When values being converted from are input into a list (or when list
memory is specified), conversion calculation is performed for each element in the list and
calculation results are returned in list format (ListAns screen).
• A complex number cannot be used as a value to be converted from. An error occurs if even
a single element of a list being used as the value being converted from contains a complex
number.
Example 1 To convert 50cm to inches
AfaK6(g)1(CONV)2(LENG)f(cm)1(')2(LENG)ec(in)w
Example 2 To convert {175, 162, 180} square meters to hectares
ton(long)ton, long (2240lbm) l-atmliter atmosphere
NnewtonkW•hkilowatt hour
lbfpound of force ft
tonfton of force BtuBritish thermal unit
Force/Weight
dynedyneergerg
kgfkilogram of force kgf
th
15
IT
Energy/Work
•
lbffoot-pound
•
Wwatt
cal
th
calorie
th
calorie (15°C)
th
15
IT
calorie
kilocalorie
kilocalorie (15°C)
kilocalorie
IT
th
IT
mkilogram force meter
/scalorie per second
hphorsepower
Power
ft
•
lbf/s
Btu/min
Source: NIST Special Publication 811 (2008). However, “MU (CN)” (1[m
foot-pound per
second
British thermal unit
per minute
2
] = 0.0015[]) is in
accordance with the “Chinese system of measurements” (1930) of the People’s Republic of
China).
3-51
Chapter 4 List Function
A list is a storage place for multiple data items.
This calculator lets you store up to 26 lists in a single file, and you can store up to six files in
memory. Stored lists can be used in arithmetic and statistical calculations, and for graphing.
Element number Display range Cell Column
List 1List 2List 3List 4List 5List 26
List 1List 2List 3List 4List 5List 26
SUB
SUB
1
1237275600
23727560032141222.100
32141222.1004698874.420
4698874.42054016298300
54016298300
64832486.830
64832486.83079364338290
79364338290830128498.700
830128498.700
•
•
•
•
•
•
••••••
••••••
5611073.540
5611073.540
••••••
••••••
••••••
••••••
••••••
••••••
•
•
List name
Sub name
Row
1. Inputting and Editing a List
When you enter theSTAT mode, the “List Editor” will appear first. You can use the List Editor
to input data into a list and to perform a variety of other list data operations.
uTo input values one-by-one
4
Use the cursor keys to move the highlighting to the list name, sub name or cell you want to select. Note thatcdoes not move the highlighting to a cell that does not contain a value.
The screen automatically scrolls when the highlighting is located at either edge of the screen.
The following example is performed starting with the highlighting located at Cell 1 of List 1.
1. Input a value and press w to store it in the list.
dw
• The highlighting automatically moves down to the next
cell for input.
2. Input the value 4 in the second cell, and then input the
result of 2 + 3 in the next cell.
ewc+dw
• You can also input the result of an expression or a complex number into a cell.
• You can input values up to 999 cells in a single list.
4-1
u To batch input a series of values
1. Use the cursor keys to move the highlighting to another
list.
2. Input a left brace ( { ), and then enter the values,
separated by commas. After inputting all of the values
you want, input a right brace ( } ).
!a(CATALOG)a6(SYBL)4(9)
c~c( { )wg,h,i!a(CATALOG)c( } )w
3. Press w to store all of the values in your list.
w
• Remember that a comma separates values, so you should not input a comma after the final
value of the set you are inputting.Right: {34, 53, 78}Wrong: {34, 53, 78,}
You can also use list names inside of a mathematical expression to input values into anothercell. The following example shows how to add the values in each row in List 1 and List 2, and
input the result into List 3.
1. Use the cursor keys to move the highlighting to the name
of the list where you want the calculation results to be input.
2. Press K and input the expression.
K1(LIST)1(List)b+K1(LIST)1(List)cw
k Editing List Values
u To change a cell value
Use the cursor keys to move the highlighting to the cell whose value you want to change. Input
the new value and press w to replace the old data with the new one.
u To edit the contents of a cell
1. Use the cursor keys to move the highlighting to the cell whose contents you want to edit.
2. Press 6(g)2(EDIT).
4-2
3. Make any changes in the data you want.
u To delete a cell
1. Use the cursor keys to move the highlighting to the cell you want to delete.
2. Press 6(g)3(DEL) to delete the selected cell and cause everything below it to be shifted
up.
• The cell delete operation does not affect cells in other lists. If the data in the list whose cell
you delete is somehow related to the data in neighboring lists, deleting a cell can cause
related values to become misaligned.
uTo delete all cells in a list
Use the following procedure to delete all the data in a list.
1. Use the cursor keys to move the highlighting to any cell of the list whose data you want to
delete.
2. Pressing 6(g)4(DEL
3. Press 1(Yes) to delete all the cells in the selected list or6(No) to abort the delete
operation without deleting anything.
•
A) causes a confirmation message to appear.
uTo insert a new cell
1. Use the cursor keys to move the highlighting to the location where you want to insert the
new cell.
2. Press 6(g)5(INS) to insert a new cell, which contains a value of 0, causing everything
below it to be shifted down.
• The cell insert operation does not affect cells in other lists. If the data in the list where you
insert a cell is somehow related to the data in neighboring lists, inserting a cell can cause
related values to become misaligned.
k Naming a List
You can assign List 1 through List 26 “sub names” of up to eight bytes each.
uTo name a list
1. On the Setup screen, highlight “Sub Name” and then press 1(On)J.
2. Use the cursor keys to move the highlighting to the SUB cell of the list you want to name.
4-3
3. Type in the name and then press w.
Example: YEAR
a5(U-Z)5(Y)J1(A-E)5(E)
1(A)J4(P-T)3(R)
• The following operation displays a sub name in the RUN • MAT mode.
• Though you can input up to 8 bytes for the sub name, only the characters that can fit within
the List Editor cell will be displayed.
• The List Editor SUB cell is not displayed when “Off” is selected for “Sub Name” on the Setup
screen.
n!a(CATALOG)
k Sorting List Values
You can sort lists into either ascending or descending order. The highlighting can be located in
any cell of the list.
uTo sort a single list
Ascending order
1. While the lists are on the screen, press 6(g)1(TOOL)1(SRT
2. The prompt “How Many Lists?:” appears to ask how many lists you want to sort. Here we
will input 1 to indicate we want to sort only one list.
bw
3. In response to the “Select List List No:” prompt, input the number of the list you want to sort.
bw
Descending order
Use the same procedure as that for the ascending order sort. The only difference is that you should press2(SRT
•
D) in place of1(SRT •A).
•
A).
u To sort multiple lists
You can link multiple lists together for a sort so that all of their cells are rearranged in
accordance with the sorting of a base list. The base list is sorted into either ascending
order or descending order, while the cells of the linked lists are arranged so that the relative
relationship of all the rows is maintained.
4-4
Ascending order
1. While the lists are on the screen, press 6(g)1(TOOL)1(SRT
2. The prompt “How Many Lists?:” appears to ask how many lists you want to sort. Here we
will sort one base list linked to one other list, so we should input 2.
cw
3. In response to the “Select Base List List No:” prompt, input the number of the list you want
to sort into ascending order. Here we will specify List 1.
bw
4. In response to the “Select Second List List No:” prompt, input the number of the list you
want to link to the base list. Here we will specify List 2.
cw
Descending order
Use the same procedure as that for the ascending order sort. The only difference is that you should press2(SRT
• You can specify a value from 1 to 6 as the number of lists for sorting.
• If you specify a list more than once for a single sort operation, an error occurs.An error also occurs if lists specified for sorting do not have the same number of values
(rows).
•
D) in place of1(SRT •A).
•
A).
2. Manipulating List Data
List data can be used in arithmetic and function calculations. In addition, various list data manipulation functions make manipulation of list data quick and easy.
You can use list data manipulation functions in theRUN • MAT ,STAT andPRGM modes.
kAccessing the List Data Manipulation Function Menu
All of the following examples are performed after entering theRUN • MAT mode.PressK and then1(LIST) to display the list data manipulation menu, which contains the
• The result of this operation is stored in ListAns Memory.
Example To input the number sequence 1
f(x) = X
2
. Use a starting value of 1, an ending value of 11, and an
2
, 6 2, 11 2, into a list, using the function
increment of 5.
AK1(LIST)5(Seq)a5(U-Z)4(X)x,4(X),b,bb,f!/( ) )w
Specifying an ending value of 12, 13, 14, or 15 produces the same result as shown above since they are less than the value produced by the next increment (16).
uTo find the minimum value in a list [OPTN]-[LIST]-[Min]
K1(LIST)6(g)1(Min)6(g)6(g)1(List) <list number 1 - 26>!/( ) )w
Example To find the minimum value in List 1 (36, 16, 58, 46, 56)
AK1(LIST)6(g)1(Min)6(g)6(g)1(List)b!/( ) )w
uTo find which of two lists contains the greatest value [OPTN]-[LIST]-[Max]
K1(LIST)6(g)2(Max)6(g)6(g)1(List) <list number 1 - 26>,1(List)<list number 1 - 26>!/( ) )w
•The two lists must contain the same number of data items. If they don’t, an error occurs.
•The result of this operation is stored in ListAns Memory.
Example To find whether List 1 (75, 16, 98, 46, 56) or List 2 (35, 59, 58, 72, 67)
u To calculate the mean of data items [OPTN]-[LIST]-[Mean]
K1(LIST)6(g)3(Mean)6(g)6(g)1(List) <list number 1 - 26> !/( ) )w
Example To calculate the mean of data items in List 1 (36, 16, 58, 46, 56)
AK1(LIST)6(g)3(Mean)6(g)6(g)1(List)b!/( ) )w
4-7
u To calculate the median of data items of specified frequency
[OPTN]-[LIST]-[Med]
This procedure uses two lists: one that contains values and one that indicates the frequency
(number of occurrences) of each value. The frequency of the data in Cell 1 of the first list is
indicated by the value in Cell 1 of the second list, etc.
• The two lists must contain the same number of data items. If they don’t, an error occurs.
K1(LIST)6(g)4(Med)6(g)6(g)1(List) <list number 1 - 26 (data)> ,1(List)
<list number 1 - 26 (frequency)> !/( ) )w
Example To calculate the median of values in List 1 (36, 16, 58, 46, 56), whose
frequency is indicated by List 2 (75, 89, 98, 72, 67)
You can input a value into a specific list cell inside a list. When you do, the value that was previously stored in the cell is replaced with the new value you input.
Example To input the value 25 into Cell 2 of List 3
• The above operation displays the contents of the list you specify and also stores them in
ListAns Memory. You can then use the ListAns Memory contents in a calculation.
4-11
u To use list contents in ListAns Memory in a calculation
Example To multiply the list contents in ListAns Memory by 36
K1(LIST)1(List)!K*dgw
• The operation K1(LIST)1(List)!K recalls ListAns Memory contents.
• This operation replaces current ListAns Memory contents with the result of the above
calculation.
kPerforming Scientific Function Calculations Using a List
Lists can be used just as numeric values are in scientific function calculations. When the calculation produces a list as a result, the list is stored in ListAns Memory.
41
Example To use List 3
Use radians as the angle unit.
to perform sin (List 3)
6522
!h(sin)K1(LIST)1(List)dw
4. Switching Between List Files
You can store up to 26 lists (List 1 to List 26) in each file (File 1 to File 6). A simple operationlets you switch between list files.
uTo switch between list files
1. From the Main Menu, enter the STAT mode.Press !m(SET UP) to display theSTAT mode Setup screen.
2. Use c to highlight “List File”.
3. Press 1(FILE) and then input the number of the list file you want to use.
Example To select File 3
1(FILE)d
w
4-12
All subsequent list operations are applied to the lists contained in the file you select (List File 3
in the above example).
5. Using CSV Files
You can import the contents of a CSV file stored with this calculator or transferred from a
computer into the List Editor. You also can save the contents of all the list data in the List
Editor as a CSV file. These operations are performed using the CSV function menu, which
appears when you press 6(g)6(g)1(CSV) while the List Editor is on the display.
kImport CSV File Requirements
A CSV file that has been output from the List Editor, Matrix Editor (page 3-35), or Spreadsheet
(page 7-1), or a CSV file transferred from a computer to storage memory can be used for import. The following types of CSV files are supported for import.
• A CSV file that uses the comma ( , ) or semi-colon ( ; ) as its delimiter, and the period ( . ) or
comma ( , ) as its decimal point. A CSV file that uses the tab as its delimiter is not supported.
• CR, LF and CRLF are supported for the line break code.
• When importing a CSV file to the calculator, if the data in Line 1 of each column of the file
(or Line 1 of Column 1 of the file) contains double quotation marks ( " ) or a single quotation
mark ( ' ), Line 1 of all of the columns of the CSV file will be ignored, and data will be input
starting from Line 2.For information about transferring files from a computer to the calculator, see “Chapter 10
Data Communication”.
kTransferring Data between Lists and CSV Files
uTo import the contents of a CSV file to the List Editor
1. Prepare the CSV file you want to import.
• See “Import CSV File Requirements” described above.
2. While the List Editor is on the display, press 6(g)6(g)1(CSV) to display the CSV
function menu.
3. What you should do next depends on the type of CSV file import operation you want to
perform.
To start import from a specific row:
Use the cursor keys to move the highlighting to the
row from which you want to start importing data and
then press 1(LOAD)1(LIST).
• This will display a dialog box for specifying whether a CSV file should be imported from
storage memory or the SD card.
4-13
To overwrite the entire contents
of the List Editor:
Press 1(LOAD)2(FILE).
4. Select b(Storage Mem) to select storage memory, or c(SD Card) to select the SD card.
• Pressing w
data.
5. On the select file dialog box that appears, use f and c to move the highlighting to the
file you want to import and then press w.
• This imports the contents of the CSV file you specified to the List Editor.
• If you pressed 1(LOAD)1(LIST) in step 3, import starts from the row where the
highlighted cell is located, overwriting List Editor rows only with the same number of rows
contained in the CSV file.
Examples
List Editor Original Content
List 1List 2List 3List 4List 5
Import CSV File Data
in the next step will overwrite the specified list editor data with the CSV file
1
22222
33333
44444
1111
Highlighting
202020
303030
404040
List Editor Content following Import
List 1List 2List 3List 4List 5
1
23030302
34040403
44
2020201
Important!
Attempting to import the following types of CSV files will result in an error.
• A CSV file that includes data that cannot be converted. In this case, an error message will
appear showing the location in the CSV file (Example: row 2, column 3) where the data that
cannot be converted is located.
• A CSV file with more than 26 columns or 999 rows. In this case, an “Invalid Data Size” error
will occur.
4-14
u To save the contents of all the list data in the List Editor as a single CSV file
1. While the List Editor is on the display, press 6(g)6(g)1(CSV) to display the CSV
function menu.
2. Press 2(SV
•
AS).
• This will display a dialog box for specifying whether the CSV file should be saved to
storage memory or the SD card.
3. Select b(Storage Mem) to select storage memory, or c(SD Card) to select the SD card.
• This displays a folder selection screen.
4. Select the folder where you want to save the CSV file.
• To store the CSV file in the root directory, highlight “ROOT”.
• To store the CSV file in a folder, use f and c to move the highlighting to the desired
folder and then press 1(OPEN).
5. Press 1(SV
•
AS).
6. Input up to eight characters for the file name and then press w.
Important!
• The sub name line of the List Editor is not saved in the CSV file.
• When saving list data to a CSV file, some data is converted as described below.
- Complex number data: Only the real number part is extracted.
- Fraction data: Converted to calculation line format (Example: 2{3{4→ =2+3/4)
kSpecifying the CSV File Delimiter Symbol and Decimal Point
When importing a CSV file that has been transferred from a computer to the calculator, specify
the delimiter symbol and decimal point in accordance with the settings you specified on the application when outputting the CSV file. The comma ( , ) or semi-colon ( ; ) can be specifiedfor the delimiter, while the period ( . ) or comma ( , ) can be specified as the decimal point.
uTo specify the CSV file delimiter symbol and decimal point
1. While the List Editor is on the display, press 6(g)6(g)1(CSV) to display the CSV function menu.
2. Press 3(SET).
• This displays the CSV format setting screen.
3. Use the f and c keys to move the highlighting to “CSV Separator” and then press 1( , ) or 2( ; ).
4. Use the f and c keys to move the highlighting to “CSV Decimal Symbol” and then press
1( . ) or 2( , ).
• If you specified 1( , ) in step 3, you will not be able to specify 2( , ) here.
5. After the setting is the way you want, press J.
4-15
Chapter 5 Statistical Graphs and
Calculations
Important!
This chapter contains a number of graph screen shots. In each case, new data values were input in
order to highlight the particular characteristics of the graph being drawn. Note that when you try to
draw a similar graph, the unit uses data values that you have input using the List function. Because
of this, the graphs that appear on the screen when you perform a graphing operation will probably
differ somewhat from those shown in this manual.
1. Before Performing Statistical Calculations
Entering theSTAT mode from the Main Menu displays the List Editor screen.You can use the List Editor screen to input statistical data and perform statistical calculations.
Usef,c,d ande to move the
highlighting around the lists.
Once you input data, you can use it to produce a graph and check for tendencies. You can also use a variety of different regression calculations to analyze the data.
5
• For information about using the statistical data lists, see
“Chapter 4 List Function”.
kChanging Graph Parameters
Use the following procedures to specify the graph draw/non-draw status, the graph type, andother general settings for each of the graphs in the graph menu (GPH1, GPH2, GPH3).
While the statistical data list is on the display, press1(GRPH) to display the graph menu, which contains the following items.
• { SEL} ...{simultaneous graph (GPH1, GPH2, GPH3) selection} You can specify the multiple graphs.
• { SET} ... {graph settings (graph type, list assignments)}
1
*
The initial default graph type setting for all the graphs (Graph 1 through Graph 3) is scatter
diagram, but you can change to one of a number of other graph types.
1
1. General graph settings [GRPH]-[SET]
This section describes how to use the general graph settings screen to make the following
settings for each graph (GPH1, GPH2, GPH3).
• Graph Type
The initial default graph type setting for all the graphs is scatter graph. You can select one of a
variety of other statistical graph types for each graph.
5-1
• List
The initial default statistical data is List 1 for single-variable data, and List 1 and List 2 for
paired-variable data. You can specify which statistical data list you want to use for
x-data and
y-data.
• Frequency
Normally, each data item or data pair in the statistical data list is represented on a graph as
a point. When you are working with a large number of data items however, this can cause
problems because of the number of plot points on the graph. When this happens, you can
specify a frequency list that contains values indicating the number of instances (the frequency)
of the data items in the corresponding cells of the lists you are using forOnce you do this, only one point is plotted for the multiple data items, which makes the graph
easier to read.
• Mark Type
This setting lets you specify the shape of the plot points on the graph.
x-data andy-data.
uTo display the general graph settings screen [GRPH]-[SET]
Pressing1(GRPH)6(SET) displays the general graph settings screen.
When “Pie” (pie graph) is selected as the Graph Type:
• Data (Specifies the list to be used as graph data.)
• { LIST} ... {List 1 to List 26}
• Display (pie graph value display setting)
• { %}/{Data} ... For each data element {display as percentage}/{display as value}
5-2
• % Sto Mem (Specifies storage of percentage values to a list.)
• { None}/{List} ... For percentage values: {Do not store to list}/{Specify List 1 to 26 and store}
When “Box” (med-box graph) is selected as the Graph Type:
• Outliers (outliers specification)
• { On}/{Off} ... {display}/{do not display} Med-Box outliers
When “Bar” (bar graph) is selected as the Graph Type:
• Data1 (first stick data list)
• { LIST} ... {List 1 to 26}
• Data2 (second stick data list)/Data3 (third stick data list)
• { None}/{LIST} ... {none}/{List 1 to 26}
• Stick Style (stick style specification)
• { Leng}/{HZtl} ... {length}/{horizontal}
2.Graph draw/non-draw status [GRPH]-[SEL]
The following procedure can be used to specify the draw (On)/non-draw (Off) status of each of
the graphs in the graph menu.
uTo specify the draw/non-draw status of a graph
1. Pressing 1(GRPH)4(SEL) displays the graph On/Off screen.
• Note that the StatGraph1 setting is for Graph 1 (GPH1 of the graph menu), StatGraph2 is
for Graph 2, and StatGraph3 is for Graph 3.
2. Use the cursor keys to move the highlighting to the graph whose status you want to change,
and press the applicable function key to change the status.
View Window settings specify the range that needs to be specified when you draw a graph. View Window settings are configured automatically in the case of statistical graphs (when “Auto” is specified for the “Stat Wind” setting).
Note
• For statistical graphing, you can select either “Auto” or “Manual” for the “Stat Wind” (page
2-15) item on the setup screen to specify the View Window setting method. For information
about switching between auto and manual, see “To change a mode setup” (page 2-14).
• For the View Window setting procedures you need to perform while “Manual” is selected as
the “Stat Wind” setting, see “Configuring View Window Settings Manually” in this manual
(page 5-16).
• Pie graphs are always displayed in accordance with a predetermined format, regardless of
the current View Window settings.
5-3
2. Calculating and Graphing Single-Variable
Statistical Data
Single-variable data is data with only a single variable. If you are calculating the average
height of the members of a class for example, there is only one variable (height).
Single-variable statistics include distribution and sum. The following types of graphs are
available for single-variable statistics.
You can also use the procedures under “Changing Graph Parameters” on page 5-1 to make
the settings you want before drawing each graph.
kNormal Probability Plot
This plot compares the data accumulated ratio with a normal distribution accumulated ratio. XList specifies the list where data is input, and Mark Type is used to select from among the marks { /× / • } you want to plot.
PressA,J or!J(QUIT) to return to the statistical data list.
k Pie Graph
You can draw a pie graph based on the data in a specific list. The maximum number of graph
data items (list lines) is 20. The graph is labeled A, B, C, and so on, corresponding to lines 1,
2, 3, and so on of the list used for the graph data.
When “%” is selected for the “Display” setting on the general graph settings screen (page 5-2),
a value showing the percentage is displayed for each of the alphabetic label letters.
k Histogram
XList specifies the list where the data is input, while Freq specifies the list where the data
frequency is input. 1 is specified for Freq when frequency is not specified.
⇒⇒
w(DRAW)
5-4
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