hp 9s
Scientific Calculator
General Operations
Power Supply
On or Off
To turn the calculator on, press [ON/C].
To turn the calculator off, press [2ndF] [OFF].
Auto power-off function
The calculator automatically turns off if it has not been used for
approximately 9 minutes. Power can be restored by pressing the
[ON/C] key again. Memory contents and the current mode setting
(STAT, DEG, CPLX, Base-n,etc) are retained when you turn off the
power and when the calculator automatically turns off.
Battery replacement
The calculator is powered by two alkaline button batteries (GP76A or
LR44). If the display becomes dim and difficult to read, the batteries
should be replaced as soon as possible.
To replace the batteries:
1. Slide the battery cover off and remove the old batteries.
2. Insert new batteries, with positive polarity facing outward.
3. Replace the battery cover and press [ON/C] to turn on the power.
The keyboard
Most of the keys can perform two functions.
2nd function
――――――
1st function
―――
1st functions
These are functions that are executed when you press a key without
first pressing [ 2ndF ]. The function performed is indicated by the label
on the key.
2nd functions
These are functions that are executed when you press a key after first
pressing [ 2ndF ]. The function performed is indicated by the label
above the key.
When you press [ 2ndF ], the 2ndF indicator appears in the display to
indicate that you will be selecting the second function of the next key
you press. If you press [ 2ndF ] by mistake, simply press [ 2ndF ]
again to remove the 2ndF indicator.
Note: [ A ], [ B ], [ C ], [ D ], [ E ], [ F ] are 1st functions in HEX mode.
Display Symbols
The following symbols, shown on the display, indicate the status of
the calculator.
DEG or RAD or GRAD: degrees, radians or grads angular unit
M A value is in memory CPLX Complex number mode
E Overflow or error STAT Statistical mode
– Minus 2ndF [2ndF] key pressed
( ) Parentheses calculation CP Precision capability
BIN Binary mode CPK Process capability
OCT Octal mode σ D eviation
HEX Hexadecimal mode USL Setting upper limit
ED Edit mode LSL Setting lower limit
HYP Hyperbolic mode
Display Formats
The calculator can display numbers in four formats: floating point,
fixed point, scientific, and engineering.
Floating point format
The floating point format displays numbers in decimal form, using up
to 10 digits. Any trailing zeros are truncated.
If the result of a calculation is too large to be represented by 10 digits,
the display automatically switches to scientific format. If the result of a
later calculation is small enough to be displayed in less than 10 digits,
the calculator returns to floating point format.
To set the display to floating point display format:
1. Press [ 2ndF ] [ FIX ] [•]
Fixed point format
The fixed point, scientific, and engineering formats use a fixed
number of decimal places to display numbers. If more than the
specified number of decimal places is keyed, the entry will be rounded
to the correct number of decimal places.
Ex. 1: Fix the display at 2 decimal places, then key in 3.256
1. Press [ 2ndF ] [ FIX ] 2
2. Key in 3.256 [
If fewer than the set number of decimal places is keyed, the entry will
be padded with trailing zeros.
ENTER
]
Ex. 2: Fix the display at 4 decimal places, then key in 4.23
1. Press [ 2ndF ] [ FIX ] 4
2. Key in 4.23 [
ENTER
]
Scientific format
In scientific format, the number 891500 is shown as 8.915 × 10
where 8.915 is the mantissa and 5 is the exponent of 10.
Ex. 3: To display 7132 × 125 in scientific format:
1. Key in 7132 [ × ] 125 [
ENTER
]
2. Press [ F←→E ]
You can convert an entry to scientific notati on by pressing [EXP] afte r
entering the mantissa.
Ex. 4: Key the number 4.82296 × 10 5
1. Key in 4.82296 [ EXP ] 5
Engineering format
Engineering format is similar to scientific format, except that the
mantissa can have up to three digits to the left of the decimal and the
exponent is always a multiple of three. This is useful if you have to
convert units that are based on multiples of 10 3.
Ex. 5: Convert 15V to 15000mV (V = Volts)
1. Key in 15
2. Press [ ENG ] twice.
Ex. 6: Convert 15V to 0.015KV (V = Volts)
1. Key in 15
2. Press [ 2ndF ] [ ← ] [ 2ndF ] [ ← ]
Order of Operations
Each calculation is performed in the following order of precedence:
1. Operations in parentheses.
2. Functions that require pressing the function key before entering a
value, for example, [ DATA ] in statistics mode, and [ EXP ].
3. Functions that require values to be entered before pressing the
function key, for example, cos, sin, tan, cos
x2, x–1, √, π,
conversion functions.
3
√
, x!, %, RND, ENG, , , and the unit
4. Fractions.
5. +/–
X
√
6. x y,
7. nPr, nCr
8. ×, ÷
9. +, –
Corrections
If you have made a mistake when entering a number and you have
not yet pressed an arithmetic operator key, just press [ CE ] to clear
the last entry. You can then input the desired number again.
Alternatively,you can delete digits one at a time by pressing the
backspace key: [ 00→0 ].
–1
sin
sin
DEG
0.
DEG
0.00
DEG
3.26
DEG
0.0000
DEG
4.2300
DEG
DEG
8.915 05
DEG
DEG
15.
DEG
15000.
DEG
15.
DEG
–1
, sin–1, tan–1, log, ln,
891500.
4.82296
0.015
05
,
05
– 03
Ex. 7: Change 12385 to 789
1. Key in 12385
2. Press [ CE ] 789
Ex. 8: Change 12385 to 123
1. Key in 12385
DEG
DEG
2. Press [ 00→0 ] twice.
In a series of calculations, you can correct errors in intermediate
results by pressing [ON/C]. This clears the calculation without clearing
memory.
If you press the wrong arithmetic operation key, just press [ CE ] and
then the correct arithmetic key.
Exchange key
Pressing [ 2ndF ] [ X←→Y ] changes the currently displayed value to
the previously displayed value.
123 [ + ] 456 [
123 + 456 = ?
[ 2ndF ] [ X←→Y ]
ENTER
]
[ 2ndF ] [ X←→Y ]
Accuracy and Capacity
Accuracy: ±1 in the 10th digit.
Capacity: In general, calculations can be displayed as a mantissa of
up to 10 digits, a 10-digit mantissa together with a 2-digit exponent up
±99
to 10
, or as an integer between –9999999999 and 9999999999.
Numbers used as input to a particular function must be within the
allowable range for that function (as set out in the following table):
Functions Allowable input range
sin x, cos x, tan x
Deg: x < 4.5 × 10
Rad: x < 2.5 × 10 8 π rad
x < 5 × 10
Grad:
10
Also, for tan x:
Deg:
x ≠ 90 (2n +1)
Rad: x ≠
Grad:
(2n +1)
2
x ≠ 100 (2n +1)
where n is an integer.
–1
–1
x, cos
x
–1
sin
tan
sinh x, cosh x
tanh x
–1
sinh
x
–1
cosh
x 1 ≦ x < 5 × 10 99
–1
tanh
x
log x, ln x 1 × 10
10 x –1 × 10
e x –1 × 10
x 0 ≦ x < 1 × 10
x ≦ 1
x
x < 1 × 10
x ≦ 230.2585092
x < 1 × 10
x < 5 × 10
x < 1
100
100
99
–99
≦ x < 1 x 10
100
< x < 100
100
< x ≦ 230.2585092
100
x 2 x < 1 × 10 50
x–1 │x│<1 × 10
3
x
X !
x < 1 × 10
≦
0
R→P 22
P→R 0
≦
Deg
Rad
:│θ│<
:│θ│<
Grad
100
, X≠0
100
x ≦ 69, where x is an integer.
100
<
1 × 10
yx +
r< 1 × 10
100
4.5 × 10 10 deg
2.5 × 10
:│θ│<
5 × 10 10 grad
Also, for tan x:
:│θ│≠
:│θ│≠
:│θ│≠
n is an integer.
90 (2n+1)
(2n+1)
2
100 (2n+1)
Deg
Rad
Grad
where
│DD│, MM, SS.SS < 1 × 10
0
≦ MM, SS.SS
x < 1 × 10
x y x > 0 : –1 × 10
x = 0 : y
x
< 0 : y = n, 1/(2n+1)
where
but –1 x 10
x
Y
y > 0 : x ≠ 0, –1 x 10
100
100
< y log x < 100
> 0
n is an integer
100
<
y
1
100
y = 0 : x > 0
y < 0 : x =2n+1, l/n
n is an integer other than 0
where
but –1 x 10
:The integer, numerator, denominator
ab/c
nPr, nCr
STAT x < 1 × 10
Input
and fraction symbols must in total be no
more than 10 digits.
Result
integer, numerator and denominator are
each less than 1 × 10
0
≦r≦n, n≦9999999999; n, r are integers.
0 ≦│Σx
:n≠0, S:n>1,σ:n>0
Range = 1 ~ r, 1
1
100
<
x
:Displayed as a fraction when the
10
50
, Σ x < 1 × 10
2
│<1 × 10
≦n≦r, 80 ≦r≦20400
→DEC 0 ≦ X ≦9999999999 (for zero or positive)
–9999999999
≦
→BIN
0
positive)
1000000000
≦ X ≦ –1 (for negative)
X ≦ 0111111111 (for zero or
≦ X ≦ 1111111111
(for negative)
→OCT 0 ≦ X ≦ 3777777777 (for zero or positive)
03
4000000000
≦ X ≦ 7777777777
(for negative)
→HEX 0 ≦ X ≦2540BE3FF (for zero or positive)
FDABF41C01
≦ X ≦ FFFFFFFFFF (for
negative)
Overflow and Error Conditions
The symbol E appears when any of the following conditions occur.
Press [ ON/C ] to remove the overflow or error indicator.
When you attempt to perform a function calculation with a number
•
outside the allowable input range.
When you attempt to divide a number by 0.
•
When you have pressed the [ ( ] key more than 15 times in a
•
single expression.
When any result (whether intermediate or final) or the
•
accumulated total in memory is outside ±9.999999999 × 10
When there are more than six pending operations.
•
If the calculator becomes locked and pressing keys has no effect,
press [ M+ ] and [ ENG ] at the same time. This unlocks the calculator
and returns all settings to their default values.
Basic Calculations
The following examples of basic calculations assume that your
calculator is in decimal base and with floating point display.
789.
DEG
579.00
DEG
456.00
DEG
579.00
10
deg
grad
100
8
π
rad
100
log
x 100
1
<
log y < 100
x
log
y 100
.
100
100
; n, r are integer
,
123.
Mixed Arithmetic Calculations
1 + 2 × 3 = ? 1 [ + ] 2 [ × ] 3 [
–3.5 + 8 ÷2 = ?
3.5 [ +/– ] [ + ] 8 [
ENTER
[
]
ENTER
÷
] 2
DEG
]
7.
DEG
0.5
Parentheses Calculations
Operations inside parentheses are always executed first. You can
specify up to 15 levels of parentheses in a single calculation. When
you enter the first parenthesis, the
and remains until each opening parenthesis has a corresponding
closing parenthesis.
( 5–2 × 1.5 ) × 3
+ 0.8 × (– 4 )
= ?
2 × ( 7 + 6 × ( 5
+ 4 )) = ?
[ ( ] 5 [ – ] 2 [ × ] 1.5 [ ) ] [ × ] 3
[ + ] 0.8 [ × ] 4 [ +/– ] [
2 [ × ] [ ( ] 7 [ + ] 6 [ × ] [ ( ] 5
[ + ] 4 [
Note: It is not necessary to press [ ) ] before [
( ) indicator appears on the display
ENTER
]
ENTER
]
ENTER
DEG
2.8
DEG
122.
].
Repeating a Calculation
You can repeat the last number entered, or the last operation
executed, by pressing [
Repeating the last number
3 × 3 = ?
3 × 3 × 3 = ?
3 × 3 × 3 × 3 = ?
Repeating the last arithmetic operation
321 + 357 = ?
654 + 357 = ?
579 – 159 = ?
456 – 159 = ?
18 × 45 = ?
18 × 23 = ?
18 × (0.5x10
96 ÷ 8 = ?
÷
75
8 = ?
2
(1.2x10
) ÷ 8 = ?
Percentage Calculations
30% of 120 = ?
70% of 120 = ?
88 is 55% of what
number?
30% mark up of
120 = ?
30% discount of
120 = ?
ENTER
ENTER
3 [ × ] [
ENTER
[
]
ENTER
]
[
321 [ + ] 357 [
ENTER
654 [
579 [ – ] 159 [
ENTER
456 [
3 [ × ] 6 [ × ] 45 [
ENTER
23 [
2
) = ?
0.5 [ EXP ] 2 [
96 [ ÷ ] 8 [
ENTER
75 [
1.2 [ EXP ] 2 [
120 [ × ] 30 [ 2ndF ] [ % ]
ENTER
[
]
70 [ 2ndF ] [ % ] [
÷
88 [
ENTER
[
]
120 [ + ] 30 [ 2ndF ] [ % ]
ENTER
[
]
120 [ – ] 30 [ 2ndF ] [ % ]
ENTER
[
]
].
]
ENTER
]
]
ENTER
]
]
ENTER
]
ENTER
]
ENTER
]
]
ENTER
]
ENTER
] 55 [ 2ndF ] [ % ]
DEG
9.
DEG
27.
DEG
81.
DEG
678.
DEG
1011.
DEG
DEG
DEG
]
DEG
DEG
DEG
DEG
DEG
DEG
DEG
]
DEG
DEG
DEG
420.
297.
810.
414.
900.
12.
9.375
15.
36.
84.
160.
156.
84.
Memory Calculations
The M indicator appears when a number is stored in memory.
•
Recalling from memory does not delete the contents of memory.
•
The memory is not available when you are in statistics mode.
•
To copy the displayed number to memory, press [ X→M ].
•
To clear the memory, press [ 0 ] [ X→M ], or [ CE ] [ X→M ], in
•
that order.
3 × 5
÷
+ 56
+ 74 – 8 × 7
Total = ?
[ CE ] [ X→M ]
3 [ × ] 5 [ M+ ]
7
56 [ ÷ ] 7 [ M+ ]
74 [ – ] 8 [ × ] 7 [ M+ ]
[ MR ]
→
0 [ X
M ]
DEG
DEG
M
DEG
M
DEG
M
DEG
M
DEG
0.
15.
8.
18.
41.
0.
Common Math Calculations
The following example calculations assume that your display is fixed
at 2 decimal places.
Reciprocal, Factorial
1
= ?
25.1
5! = ? 5 [ 2ndF ] [ x! ] [
1.25 [ 2ndF ] [ x
Square, Square Root, Cube Root, Power, Other Roots
2 2 + 3 4 = ? 2 [ x 2 ] [ + ] 3 [ x y ] 4 [
5 ×
9
72
3
27
= ?
+34= ?
5 [ × ] 27 [ 2ndF ] [
√
34 [
72 [ 2ndF ] [
Logarithms and Antilogarithms
ln7 + log100 = ? 7 [ ln ] [ + ] 100 [ log ] [
10 2 = ? 2 [ 2ndF ] [ 10 x ] [
e 5 – e –2 = ?
5 [ 2ndF ] [ e
[ 2ndF ] [ e
] [
ENTER
–1
] [
ENTER
3
]
X
√
] 9 [
ENTER
x
] [ – ] 2 [+/–]
x
ENTER
] [
ENTER
]
ENTER
√
] [ + ]
ENTER
ENTER
]
DEG
]
0.80
DEG
120.00
DEG
]
85.00
DEG
20.83
DEG
]
1.61
DEG
]
3.95
DEG
]
100.00
DEG
148.28
Fraction calculations
Fractions are displayed as follows:
ENTER
d
→
]
ENTER
=
= 56
/c ]
ENTER
].
5
12
5
12
]
DEG
DEG
], or if a fraction was
DEG
ENTER
]
DEG
DEG
DEG
DEG
8∪ 4 」15
124 」15
9 ∪ 7」36
9.19
12.19
8 ∪ 2」3
12350.77
56 ∪ 5 」12
Note : The display is truncated if the integer, numerator, denominator
and fraction symbols together are more than 10 digits.
d
→
5 」12
Press [ 2ndF ] [
fraction.
2
3
+ 7
3
5
4
= 8
15
124
=
15
If you press [ ab/c ] after pressing [
combined with a decimal number, the answer is displayed as a
decimal number.
4
5
+ 3
9
7
= 9.19
= 9
36
4
8
+ 3.75 = 12.19
9
Where possible, a fraction is reduced to its lowest terms after you
press [ + ], [ – ], [ × ], [
119
= 8
3
21
A result is displayed in decimal format if the integer, numerator,
denominator and fraction symbols are together more than 10 digits.
12345
16
= 12350.77
/c ] to convert the displayed value to an improper
3
4
2 [ ab/c ] 3 [ + ] 7 [ ab/c ] 3
[ ab/c ] 5 [
[ 2ndF ] [
5 [ ab/c ] 4 [ ab/c ] 9 [ + ] 3
[ ab/c ] 3 [ ab/c ] 4 [
[ ab/c ]
8 [ ab/c ] 4 [ ab/c ] 9 [ + ]
ENTER
3.75 [
÷
] or [
3 [ ab/c ] 119 [ ab/c ] 21
2
ENTER
]
[
3
5
12345 [ ab/c ] 5 [ ab/c ] 16
6
+5
[ + ] 5 [ ab/c ] 6 [ ab/c ] 13
13
ENTER
[
]
Converting Angular Units
You can specify an angular unit of degrees (DEG), radians (RAD), or
grads (GRAD). You can also convert a value expressed in one
angular unit to its corresponding value in another angular unit.
The relation between the angular units is:
180° =
radians = 200 grads
π
99
To change the angular unit setting to another setting, press
•
[ DRG ] repeatedly until the angular unit you want is indicated in
the display.
After entering the value of an angle, press [ 2ndF ] [ DRG→]
•
repeatedly until the value is converted to the desired unit.
90° (deg)
= ? (rad)
= ? (grad)
90
[ 2ndF ] [ DRG→]
[ 2ndF ] [ DRG
→
]
DEG
90.
RAD
1.57
GRAD
100.00
Trigonometric and Inverse Trigonometric Functions
Before undertaking a trigonometric or inverse trigonometric
calculation, make sure that the appropriate angular unit is set.
3 sin 85° = ? 3 [ × ] 85 [ sin ] [
cos (
rad) = ?
4
[ 2ndF ] [
[ cos ]
π
ENTER
] [ ÷ ] 4 [
tan 150 grad = ? 150 [ tan ]
sin –1 0.5 = ? deg 0.5 [ 2ndF ] [ sin –1 ]
1
cos
? rad
–1
(
) =
2
√
] [ 2ndF ] [ x–1] [ 2ndF ]
2 [
–1
]
[ cos
tan –1 1 = ? grad 1 [ 2ndF ] [ tan –1]
]
ENTER
DEG
2.99
]
RAD
0.71
GRAD
DEG
30.00
RAD
0.79
GRAD
–1.00
50.00
Hyperbolic and Inverse hyperbolic functions
cosh1.5+sinh1.5
= ?
sinh –1 7 = ?
tanh 1 = ? 1 [ HYP ] [ tan ]
1.5 [ HYP ] [ cos ] [ + ] 1.5
[ HYP ] [ sin ] [
7 [ HYP ] [ 2ndF ] [ sin
ENTER
]
–1
]
DEG
4.48
DEG
2.64
DEG
0.76
Rectangular and Polar coordinates
Rectangular Coordinates Polar Coordinates
a + b i = r (cosθ + i sinθ)
Note: Before undertaking a coordinates conversion calculation, make
sure that the appropriate angular unit is set.
Converting from Rectangular to Polar
If a = 5 and b = 6,
what are
5 [ a ] 6 [ b ] [ 2ndF ] [ R→P ]
θ
r and
?
[ b ]
DEG
7.81
DEG
50.19
Converting from Polar to Rectangular
If r = 25 and θ=
56°, what are
and
b?
25 [ a ] 56 [ b ] [ 2ndF ]
→
[ P
a
R ]
[ b ]
DEG
13.98
DEG
20.73
Permutations and Combinations
! n
nPr =
How many
permutations of 4
items can you
select from a set
of 7 items?
How many
combinations of 4
items can you
select from a set
of 7 items?
nCr =
)!rn(
−
! n
)!rn(! r
−
7 [ 2ndF ] [ nPr ] 4 [
7 [ 2ndF ] [ nCr ] 4 [
ENTER
ENTER
]
]
DEG
840.00
DEG
35.00
Sexagesimal ↔ Decimal form Conversions
You can convert a sexagesimal figure (degree, minute and second) to
a decimal number by pressing [
to a sexagesimal figure by pressing [ 2ndF ] [
] and convert a decimal number
].
Sexagesimal figures are displayed as follows:
׀ ׀
12
45 ׀ 30
Note: If the total number of digits in a DD, MM and SS.SS figure
exceeds 8, the figure is truncated.
= 12 degrees, 45 minutes, 30.5
5
seconds
Converting from Sexagesimal to Decimal
12 deg., 45 min.,
30.5 sec.= ?
Converting from Decimal to Sexagesimal
2.12345 = ? 2.12345 [ 2ndF ] [
] 45 [ ] 30.5
12 [
[
]
DEG
12.76
DEG
2
7 ׀24 ׀׀42
]
Base-n Calculations
Converting between bases
You can add, subtract, multiply, and divide binary, octal, and
hexadecimal numbers in addition to decimal numbers. Select the
number base you want by pressing [
→
[
DEC]. The BIN, OCT, and HEX indicators show you which base
you are using. (If none of these indicators is displayed, you are using
decimal base.)
→
BIN], [→OCT], [→HEX], or
The number keys that are active in a particular base are:
Binary base: [ 0 ] and [ 1 ]
Octal base: [ 0 ] to [ 7 ]
Decimal base: [ 0 ] to [ 9 ]
Hexadecimal base: [ 0 ] to [ 9 ] and [ A ] to [ F ]
→
DEC] 31
31 (base 10)
= ? (base 2)
= ? (base 8)
= ? (base 16)
4 × 1B (base 16)
= ? (base 2)
= ? (base 10)
= ? (base 8)
[ 2ndF ] [
[ 2ndF ] [→BIN]
[ 2ndF ] [→OCT]
→
HEX]
[ 2ndF ] [
[ 2ndF ] [→HEX] 4 [ × ] 1B
ENTER
[
]
[ 2ndF ] [→BIN]
[ 2ndF ] [→DEC]
→
[ 2ndF ] [
OCT]
DEG
31.
DEG BIN
11111.
DEG OCT
37.
DEG HEX
1F.
DEG HEX
6C.
DEG BIN
1101100.
DEG
108.00
DEG OCT
154.
Negative Numbers and Complements
In binary, octal, and hexadecimal bases, negative numbers are
expressed as complements. The complement is the result of
subtracting that number from 10000000000 in that number’s base.
You do this by pressing [+/–] in a non-decimal base.
Calculate the
complement of
binary number
11011
[ 2ndF ] [
→
BIN ] 11011 [+/–]
DEG BIN
1111100101.
Complex Number Calculations
Press [ CPLX ] to enter complex number mode. The CPLX indicator
appears on the display. You can add, subtract, multiply, and divide
compl ex number s.
Complex numbers are generally represented as
real part and
( 7 – 9 i ) +
(15 + 10 i) = ?
bi is the imaginary part.
[ 2ndF ] [ CPLX ] 7 [ a ] 9
[ +/– ] [ b ] [ + ] 15 [ a ] 10 [ b ]
ENTER
[
]
[ b ]
a + b i, where a is the
DEG CPLX
22.00
DEG CPLX
1.00
Note: Memory calculation is available in complex number mode.
Random Numbers
Press [ 2ndF ] [ RND ] to generate a random number between 0.000
and 0.999.
Unit Conversions
The unit conversion keys are [°F←→°C ], [ mmHg←→Kpa ], [ gal←→I ],
←→
[ lb
kg ] and [ oz←→g ]. The following example illustrates the general
procedure for converting values from one unit to another.
12 in = ? cm
98 cm = ? in
→
B ] [ 2ndF ] [ in←→cm]
12 [ A
98 [ 2ndF ] [ A
←→
[ in
cm ]
←
B ] [ 2ndF ]
DEG
30.48
DEG
38.58
Statistics
Press [ 2ndF ] [ STAT ] to enter statistics mode. The STAT indicato r
appears on the display. In statistics mode you can calculate the
following single-variable statistics:
n number of data items
Σx sum of the values of all the data items
2
sum of the squares
Σx
mean value
s sample standard deviation
σ population standard deviation
22
/n)x(x
−
∑∑
1n
−
22
/n)x(x
−
∑∑
n
Continued on other side
CP precision capability
LSLUSL −
σ 6
CPK process capability Min(CPU, CPL)
where CPU =
Note: In statistics mode, all function keys are available except those
used for base-n calculations.
Ex. 9: Enter the following data {2, 5, 5, 5, 5, 9, 9, and 9} and
calculate Σx, Σx
12 and LSL value = 2.
2
, n, x, S, CP, and CPK, where USL value =
xUSL −
CPL =
σ 3
In STAT mode [ 2ndF ] [ STAT ]
[ DATA ] 2
[ DATA ] 5
[ DATA ] 5
[ DATA ] 5
Enter all data
[ DATA ] 5
[ DATA ] 9
[ DATA ] 9
[ DATA ] 9
ENTER
]
[
= ? [ x ]
n = ? [ n ]
S = ? [ S ]
Σx = ? [ 2ndF] [ Σx ]
Σx 2 = ?
[ 2ndF ] [ Σx
2
]
σ= ? [ 2ndF ] [ σ ]
[ 2ndF ] [ CP ] 12
ENTER
[
CP = ?
ENTER
[
] 2
]
[ 2ndF ] [ CPK ]
ENTER
[
CPK = ?
Note: The calculator retains the data you have entered until you exit
statistics mode. The data is retained even if you turn off the
calculator or it automatically turns off.
ENTER
[
]
]
LSLx −
σ 3
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
DEG STAT
0.00
2.
5.
5.
5.
5.
9.
9.
9.
0.00
6.13
8.00
2.59
49.00
347.00
2.42 σ
CP
12.
USL
CP
2.
LSL
CP
0.69
CPK
12.00
USL
CPK
2.00
LSL
CPK
0.57
Viewing Statistics Data
Press [ DATA ] or [
you have entered. (If you press [ DATA ] the item number of the data
appears briefly before the value.)
Ex.10: View the data entered in Ex. 9.
Method 1
1. Press [ 2ndF ] [ EDIT ] to enter edit mode.
2. Press [ DATA ] once to view the first data item.
DEG ED STAT
3. Continue pressing [ DATA ] to display each data item. You will
see data 2, 5.00, data 3, 5.00, data 4, 5.00, data 5, 5.00, data 6,
9.00, data 7, 9.00, data 8, 9.00 in sequence.
Method 2
1. Press [
2. Continue pressing [
5.00, 5.00, 5.00, 5.00, 9.00, 9.00, 9.00 in sequence.
ENTER
] in edit (ED) mode to view the statistics data
dAtA 1
ENTER
1.5 seconds
] once to view the first data item.
ENTER
DEG ED STAT
→
DEG ED STAT
2.00
2.00
] to display each data item. You will see
Adding a Data Item
Ex. 11: To add a 9th data item, of value 10, to the Ex. 9 dataset:
1. Press [ DATA ] 10
The calculator updates the statistics as you enter data. You can then
recall the statistics to get :
2
Σx
= 447.00 and σ= 2.59.
= 6.56, n = 9.00, S = 2.74, Σx = 59.00,
DEG ED STAT
10.
Editing Statistics Data
Ex.12: Change the value of data item 1 in Ex. 9 from 2 to 3.
Method 1
1. Press 2 [ 2ndF ] [ DEL ] 3
Method 2
1. Press [ 2ndF ] [ EDIT ]
2. Display 2 by pressing [ DATA ] or
ENTER
[
]
3. Enter 3 to overwrite 2.
4. Press [
ENTER
] to make the change.
DEG ED STAT
DEG ED STAT
DEG ED STAT
0.00
2.00
5. Press [ 2ndF ] [ EDIT ] to exit edit mode.
Ex.13: Based on Ex.9, delete the first data entry (of value 2).
Method 1
1. Press 2 [ 2ndF ] [ DEL ] to delete 2.
Method 2
1. Press [ 2ndF ] [ EDIT ]
2. Display 2 by pressing [ DATA ] or
ENTER
[
].
3. Press [ 2ndF ] [ DEL ]
DEG ED STAT
DEG ED STAT
DEG ED STAT
0.00
2.00
5.00
4. Press [ 2ndF ] [ EDIT ] to exit edit mode.
Delete Error
If you try to delete a value that is not in the dataset, dEL Error
appears. (Existing data is not affected.)
Ex.14: Delete 7 from the dataset in Ex.9.
1. Press 7 [ 2ndF ] [ DEL ]
2. Press any key to clear the message.
Ex.15: Delete 5 × 5 from the dataset in Ex.9.
1. Press 5 [ × ] 5 [ 2ndF ] [ DEL ]
2. Press any key to clear the message.
DEG STAT
dEL Error
DEG STAT
DEG STAT
dEL Error
DEG STAT
0.00
0.00
Weighted Data Entry Method
Instead of entering each data item individually, you can enter the
value and the number of occurrences of that value (up to 255). The
data from Ex.9 can be entered as follows:
Value Number of occurrences
2 1
5 4
9 3
Alternative method
[ DATA ] 2
[ DATA ] 5 [ × ] 4
[ DATA ] 9 [ × ] 3
where item 1 = 2, items 2 to 5 = 5, and items 6 to 8 = 9.
Error Conditions
The indicator FULL appears when any of the following conditions
occur. Further data entry is not possible. Press any key to clear the
indicator. Providing that you remain in statistics mode, previously
entered data entries are unaffected.
You attempt to enter more than 80 data items.
•
The number of occurrences of of any particular data value is
•
greater than 255
The product of the number of data items and the number of
•
occurrences is greater than 20400.
3.
© Copyright 2002 Hewlett-Packard Development Company, L.P.
Reproduction, adaptation or translation without prior written approval
is forbidden except as allowed under copyright laws.
Printed in China. HDPMR178E23 MWB
HP part number: F2212-90001