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K normal probability distribution calculation – Casio SERIES FX-9860G User Manual

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20070201

k Normal Probability Distribution Calculation

You can calculate normal probability distributions for single-variable statistics with the
RUN

MAT mode.

Press

K6(g)3(PROB)6(g) to display a function menu, which contains the following

items.

• {P(}/{Q(}/{R(} ... obtains normal probability {P(

t

)}/{Q(

t

)}/{R(

t

)} value

• {

t

(} ... {obtains normalized variate

t( x) value}

• Normal probability P(

t

), Q(

t

), and R(

t

), and normalized variate

t

(

x

) are calculated using

the following formulas.

Standard Normal Distribution

Example

The following table shows the results of measurements of the height
of 20 college students. Determine what percentage of the students fall
in the range 160.5 cm to 175.5 cm. Also, in what percentile does the
175.5 cm tall student fall?

Class no. Height (cm) Frequency

1

158.5

1

2

160.5

1

3

163.3

2

4

167.5

2

5

170.2

3

6

173.3

4

7

175.5

2

8

178.6

2

9

180.4

2

10

186.7

1

P (

t

)

Q (

t

)

R (

t

)

t

t

t

0

0

0

P (

t

)

Q (

t

)

R (

t

)

t

t

t

0

0

0

6-4-7

Performing Statistical Calculations