Grouped standard deviation – HP 33s User Manual

Page 277

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Statistics

Programs

16–17

55

g

@
) 

Stores 55 for the mean.

15.3

g

) 

Stores 15.3 for the standard
deviation.

X

D

%@
value

Starts the distribution program and
prompts for X.

90

g

/
) 

Enters 90 for X and calculates Q(X).

Thus, we would expect that only about 1 percent of the students would do better
than score 90.

Keys:

(In RPN mode)

Display:

Description:

X

I

@
) 

Starts the inverse routine.

0.1

g

%/
) 

Stores 0.1 (10 percent) in Q(X) and
calculates X.

g

@
) 

Resumes the inverse routine.

0.8

g

%/
)

Stores 0.8 (100 percent minus 20
percent) in Q(X) and calculates X.

Grouped Standard Deviation

The standard deviation of grouped data, S

xy

, is the standard deviation of data

points x

1

, x

2

, ... , x

n

,

occurring at positive integer frequencies f

1

, f

2

, ... , f

n

.

¦

¦

¦

¦

=

1

2

2

)

f

(

f

)

f

x

(

f

x

S

i

i

i

i

i

i

xg

This program allows you to input data, correct entries, and calculate the standard
deviation and weighted mean of the grouped data.

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