6-4-7

Performing Statistical Calculations

kNormal 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

P (t)

Q (t)

R (t)

0 t

0 t

0 t

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

 

 

 

 

 

 

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