# HP scientific calculator Owner Manual

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Brand: HP

Category: Calculator

Type: Owner's manual

Model: HP 9s , HP 9s - Scientific Calculators , HP scientific calculator

Pages: 2

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

――――――

sin

–1

1st function

―――

sin

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 Deviation

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 ] [

•

]

DEG

0.

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

DEG

0.00

2. Key in 3.256 [

ENTER

]

DEG

3.26

If fewer than the set number of decimal places is keyed, the entry will

be padded with trailing zeros.

Ex. 2: Fix the display at 4 decimal places, then key in 4.23

1. Press [ 2ndF ] [ FIX ] 4

DEG

0.0000

2. Key in 4.23 [

ENTER

]

DEG

4.2300

Scientific format

In scientific format, the number 891500 is shown as 8.915 × 10

05

,

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

]

DEG

891500.

2. Press [ F

←→

E ]

DEG

8.915

05

You can convert an entry to scientific notation by pressing [EXP] after

entering the mantissa.

Ex. 4: Key the number 4.82296 × 10

5

1. Key in 4.82296 [ EXP ] 5

DEG

4.82296

05

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

DEG

15.

2. Press [ ENG ] twice.

DEG

15000.

– 03

Ex. 6: Convert 15V to 0.015KV (V = Volts)

1. Key in 15

DEG

15.

2. Press [ 2ndF ] [

←

] [ 2ndF ] [

←

]

DEG

0.015

03

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

–1

, sin

–1

, tan

–1

, log, ln,

x

2

, x

–1

,

√

,

π

,

3

√

, x!, %, RND, ENG, , ,

and the unit

conversion functions.

4. Fractions.

5. +/–

6. x

y

,

X

√

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 ].

Ex. 7: Change 12385 to 789

1. Key in 12385

2. Press [ CE ] 789

DEG

789.

Ex. 8: Change 12385 to 123

1. Key in 12385

2. Press [ 00

→

0 ] twice.

DEG

123.

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 [

ENTER

]

DEG

579.00

[ 2ndF ] [ X

←→

Y ]

DEG

456.00

123 + 456 = ?

[ 2ndF ] [ X

←→

Y ]

DEG

579.00

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

to 10

±99

, 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

10

deg

Rad: x < 2.5 × 10

8

π rad

Grad:

x < 5 × 10

10

grad

Also, for tan x:

Deg:

x ≠ 90 (2n +1)

Rad: x ≠

2

π

(2n +1)

Grad:

x ≠ 100 (2n +1)

where n is an integer.

sin

–1

x, cos

–1

x

x ≦ 1

tan

–1

x

x < 1 × 10

100

sinh x, cosh x

x ≦ 230.2585092

tanh x

x < 1 × 10

100

sinh

–1

x

x < 5 × 10

99

cosh

–1

x 1 ≦ x < 5 × 10

99

tanh

–1

x

x < 1

log x, ln x 1 × 10

–99

≦ x < 1 x 10

100

10

x

–1 × 10

100

＜ x ＜ 100

e

x

–1 × 10

100

＜ x ≦ 230.2585092

x 0 ≦ x < 1 × 10

100

x

2

x < 1 × 10

50

x

–1

│x│＜1 × 10

100

, X≠0

3

x

x < 1 × 10

100

X !

0

≦

x

≦

69, where x is an integer.

R

→

P 22

yx +

＜

1 × 10

100

P

→

R 0

≦

r

＜

1 × 10

100

Deg

：│θ│＜

4.5 × 10

10

deg

Rad

：│θ│＜

2.5 × 10

8

π

rad

Grad

：│θ│＜

5 × 10

10

grad

Also, for tan x:

Deg

：│θ│≠

90 (2n+1)

Rad

：│θ│≠

2

π

(2n+1)

Grad

：│θ│≠

100 (2n+1)

where

n is an integer.

│DD│, MM, SS.SS ＜ 1 × 10

100

,

0

≦ MM, SS.SS

x < 1 × 10

100

x

y

x > 0 : –1 × 10

100

< y log x < 100

x = 0 : y

> 0

x

< 0 : y = n, 1/(2n+1)

where

n is an integer

but –1 x 10

100

<

y

1

log

x 100

x

Y

y > 0 : x ≠ 0, –1 x 10

100

<

x

1

log y < 100

y = 0 : x > 0

y < 0 : x =2n+1, l/n

where

n is an integer other than 0

but –1 x 10

100

<

x

1

log

y 100

a

b

/c

Input

：The integer, numerator, denominator

and fraction symbols must in total be no

more than 10 digits.

Result

：Displayed as a fraction when the

integer, numerator and denominator are

each less than 1 × 10

10

.

nPr, nCr

0

≦r≦n, n≦9999999999; n, r are integers.

STAT x < 1 × 10

50

, Σ x < 1 × 10

100

0 ≦│Σx

2

│＜1 × 10

100

; n, r are integer

x

：n≠0, S：n＞1,σ：n＞0

Range = 1 ~ r, 1

≦n≦r, 80≦r≦20400

→DEC 0 ≦ X ≦9999999999 (for zero or positive)

–9999999999

≦ X ≦ –1 (for negative)

→BIN

0

≦

X

≦

0111111111 (for zero or

positive)

1000000000

≦ X ≦ 1111111111

(for negative)

→OCT 0 ≦ X ≦ 3777777777 (for zero or positive)

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

99

•

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.

Mixed Arithmetic Calculations

1 + 2 × 3 = ? 1 [ + ] 2 [ × ] 3 [

ENTER

]

DEG

7.

–3.5 + 8

÷

2 = ?

3.5 [ +/– ] [ + ] 8 [

÷

] 2

[

ENTER

]

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

( ) indicator appears on the display

and remains until each opening parenthesis has a corresponding

closing parenthesis.

( 5–2 × 1.5 ) × 3

+ 0.8 × (– 4 )

= ?

[ ( ] 5 [ – ] 2 [ × ] 1.5 [ ) ] [ × ] 3

[ + ] 0.8 [ × ] 4 [ +/– ] [

ENTER

]

DEG

2.8

2 × ( 7 + 6 × ( 5

+ 4 )) = ?

2 [ × ] [ ( ] 7 [ + ] 6 [ × ] [ ( ] 5

[ + ] 4 [

ENTER

]

DEG

122.

Note: It is not necessary to press [ ) ] before [

ENTER

].

Repeating a Calculation

You can repeat the last number entered, or the last operation

executed, by pressing [

ENTER

].

Repeating the last number

3 [ × ] [

ENTER

]

DEG

9.

[

ENTER

]

DEG

27.

3 × 3 = ?

3 × 3 × 3 = ?

3 × 3 × 3 × 3 = ?

[

ENTER

]

DEG

81.

Repeating the last arithmetic operation

321 [ + ] 357 [

ENTER

]

DEG

678.

321 + 357 = ?

654 + 357 = ?

654 [

ENTER

]

DEG

1011.

579 [ – ] 159 [

ENTER

]

DEG

420.

579 – 159 = ?

456 – 159 = ?

456 [

ENTER

]

DEG

297.

3 [ × ] 6 [ × ] 45 [

ENTER

]

DEG

810.

23 [

ENTER

]

DEG

414.

18 × 45 = ?

18 × 23 = ?

18 × (0.5x10

2

) = ?

0.5 [ EXP ] 2 [

ENTER

]

DEG

900.

96 [

÷

] 8 [

ENTER

]

DEG

12.

75 [

ENTER

]

DEG

9.375

96

÷

8 = ?

75

÷

8 = ?

(1.2x10

2

)

÷

8 = ?

1.2 [ EXP ] 2 [

ENTER

]

DEG

15.

Percentage Calculations

120 [ × ] 30 [ 2ndF ] [ % ]

[

ENTER

]

DEG

36.

30% of 120 = ?

70% of 120 = ?

70 [ 2ndF ] [ % ] [

ENTER

]

DEG

84.

88 is 55% of what

number?

88 [

÷

] 55 [ 2ndF ] [ % ]

[

ENTER

]

DEG

160.

30% mark up of

120 = ?

120 [ + ] 30 [ 2ndF ] [ % ]

[

ENTER

]

DEG

156.

30% discount of

120 = ?

120 [ – ] 30 [ 2ndF ] [ % ]

[

ENTER

]

DEG

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.

[ CE ] [ X

→

M ]

DEG

0.

3 [ × ] 5 [ M+ ]

M

DEG

15.

56 [

÷

] 7 [ M+ ]

M

DEG

8.

74 [ – ] 8 [ × ] 7 [ M+ ]

M

DEG

18.

[ MR ]

M

DEG

41.

3 × 5

+ 56

÷

7

+ 74 – 8 × 7

Total = ?

0 [ X

→

M ]

DEG

0.

Common Math Calculations

The following example calculations assume that your display is fixed

at 2 decimal places.

Reciprocal, Factorial

25.1

1

= ?

1.25 [ 2ndF ] [ x

–1

] [

ENTER

]

DEG

0.80

5! = ? 5 [ 2ndF ] [ x! ] [

ENTER

]

DEG

120.00

Square, Square Root, Cube Root, Power, Other Roots

2

2

+ 3

4

= ? 2 [ x

2

] [ + ] 3 [ x

y

] 4 [

ENTER

]

DEG

85.00

5 ×

3

27

+

34

= ?

5 [ × ] 27 [ 2ndF ] [

3

√

] [ + ]

34 [

√

] [

ENTER

]

DEG

20.83

9

72

= ?

72 [ 2ndF ] [

X

√

] 9 [

ENTER

]

DEG

1.61

Logarithms and Antilogarithms

ln7 + log100 = ? 7 [ ln ] [ + ] 100 [ log ] [

ENTER

]

DEG

3.95

10

2

= ? 2 [ 2ndF ] [ 10

x

] [

ENTER

]

DEG

100.00

e

5

– e

–2

= ?

5 [ 2ndF ] [ e

x

] [ – ] 2 [+/–]

[ 2ndF ] [ e

x

] [

ENTER

]

DEG

148.28

Fraction calculations

Fractions are displayed as follows:

5

」

12

=

12

5

56

∪

5

」

12

= 56

12

5

Note : The display is truncated if the integer, numerator, denominator

and fraction symbols together are more than 10 digits.

Press [ 2ndF ] [

→

d

/c ] to convert the displayed value to an improper

fraction.

2 [ a

b

/c ] 3 [ + ] 7 [ a

b

/c ] 3

[ a

b

/c ] 5 [

ENTER

]

DEG

8

∪

4

」

15

3

2

+ 7

5

3

= 8

15

4

=

15

124

[ 2ndF ] [

→

d

/c ]

DEG

124

」

15

If you press [ a

b

/c ] after pressing [

ENTER

], or if a fraction was

combined with a decimal number, the answer is displayed as a

decimal number.

5 [ a

b

/c ] 4 [ a

b

/c ] 9 [ + ] 3

[ a

b

/c ] 3 [ a

b

/c ] 4 [

ENTER

]

DEG

9

∪

7

」

36

5

9

4

+ 3

4

3

= 9

36

7

= 9.19

[ a

b

/c ]

DEG

9.19

8

9

4

+ 3.75 = 12.19

8 [ a

b

/c ] 4 [ a

b

/c ] 9 [ + ]

3.75 [

ENTER

]

DEG

12.19

Where possible, a fraction is reduced to its lowest terms after you

press [ + ], [ – ], [ × ], [

÷

] or [

ENTER

].

3

21

119

= 8

3

2

3 [ a

b

/c ] 119 [ a

b

/c ] 21

[

ENTER

]

DEG

8

∪

2

」

3

A result is displayed in decimal format if the integer, numerator,

denominator and fraction symbols are together more than 10 digits.

12345

16

5

+5

13

6

= 12350.77

12345 [ a

b

/c ] 5 [ a

b

/c ] 16

[ + ] 5 [ a

b

/c ] 6 [ a

b

/c ] 13

[

ENTER

]

DEG

12350.77

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° =

π

radians = 200 grads

•

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

90.

[ 2ndF ] [ DRG

→

]

RAD

1.57

90° (deg)

= ? (rad)

= ? (grad)

[ 2ndF ] [ DRG

→

]

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 ] [

ENTER

]

DEG

2.99

cos (

4

π

rad) = ?

[ 2ndF ] [

π

] [

÷

] 4 [

ENTER

]

[ cos ]

RAD

0.71

tan 150 grad = ? 150 [ tan ]

GRAD

–1.00

sin

–1

0.5 = ? deg 0.5 [ 2ndF ] [ sin

–1

]

DEG

30.00

cos

–1

(

2

1

) =

? rad

2 [

√

] [ 2ndF ] [ x

–1

] [ 2ndF ]

[ cos

–1

]

RAD

0.79

tan

–1

1 = ? grad 1 [ 2ndF ] [ tan

–1

]

GRAD

50.00

Hyperbolic and Inverse hyperbolic functions

cosh1.5+sinh1.5

= ?

1.5 [ HYP ] [ cos ] [ + ] 1.5

[ HYP ] [ sin ] [

ENTER

]

DEG

4.48

sinh

–1

7 = ?

7 [ HYP ] [ 2ndF ] [ sin

–1

]

DEG

2.64

tanh 1 = ? 1 [ HYP ] [ tan ]

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

5 [ a ] 6 [ b ] [ 2ndF ] [ R

→

P ]

DEG

7.81

If a = 5 and b = 6,

what are

r and

θ

?

[ b ]

DEG

50.19

Converting from Polar to Rectangular

25 [ a ] 56 [ b ] [ 2ndF ]

[ P

→

R ]

DEG

13.98

If r = 25 and

θ

=

56°, what are

a

and

b?

[ b ]

DEG

20.73

Permutations and Combinations

nPr =

)!rn(

! n

−

nCr =

)!rn(! r

! n

−

How many

permutations of 4

items can you

select from a set

of 7 items?

7 [ 2ndF ] [ nPr ] 4 [

ENTER

]

DEG

840.00

How many

combinations of 4

items can you

select from a set

of 7 items?

7 [ 2ndF ] [ nCr ] 4 [

ENTER

]

DEG

35.00

Sexagesimal

↔

Decimal form Conversions

You can convert a sexagesimal figure (degree, minute and second) to

a decimal number by pressing [

] and convert a decimal number

to a sexagesimal figure by pressing [ 2ndF ] [

].

Sexagesimal figures are displayed as follows:

12

45

׀

30

׀ ׀

5

= 12 degrees, 45 minutes, 30.5

seconds

Note: If the total number of digits in a DD, MM and SS.SS figure

exceeds 8, the figure is truncated.

Converting from Sexagesimal to Decimal

12 deg., 45 min.,

30.5 sec.= ?

12 [

] 45 [ ] 30.5

[

]

DEG

12.76

Converting from Decimal to Sexagesimal

2.12345 = ? 2.12345 [ 2ndF ] [

]

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 [

→

BIN], [

→

OCT], [

→

HEX], or

[

→

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.)

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 ]

[ 2ndF ] [

→

DEC] 31

DEG

31.

[ 2ndF ] [

→

BIN]

DEG BIN

11111.

[ 2ndF ] [

→

OCT]

DEG OCT

37.

31 (base 10)

= ? (base 2)

= ? (base 8)

= ? (base 16)

[ 2ndF ] [

→

HEX]

DEG HEX

1F.

[ 2ndF ] [

→

HEX] 4 [ × ] 1B

[

ENTER

]

DEG HEX

6C.

[ 2ndF ] [

→

BIN]

DEG BIN

1101100.

[ 2ndF ] [

→

DEC]

DEG

108.00

4 × 1B (base 16)

= ? (base 2)

= ? (base 10)

= ? (base 8)

[ 2ndF ] [

→

OCT]

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

complex numbers.

Complex numbers are generally represented as

a + b i, where a is the

real part and

bi is the imaginary part.

[ 2ndF ] [ CPLX ] 7 [ a ] 9

[ +/– ] [ b ] [ + ] 15 [ a ] 10 [ b ]

[

ENTER

]

DEG CPLX

22.00

( 7 – 9 i ) +

(15 + 10 i) = ?

[ b ]

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

12 [ A

→

B ] [ 2ndF ] [ in

←→

cm]

DEG

30.48

98 cm = ? in

98 [ 2ndF ] [ A

←

B ] [ 2ndF ]

[ in

←→

cm ]

DEG

38.58

Statistics

Press [ 2ndF ] [ STAT ] to enter statistics mode. The STAT indicator

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

Σx

2

sum of the squares

x

mean value

s sample standard deviation

1n

/n)x(x

22

−

−

∑∑

σ population standard deviation

n

/n)x(x

22

∑∑

−

Continued on other side

hp 9s

Scientific Calculator