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Statistical Calculations of Standard Deviation, Mean and Variance

16. The heights (in inches) of 10 adult males are listed below. Find the population standard deviation (o).

70 72 71 70 69 73 69 68 70 71

a. 70
b. 3
c. 2.38
d. 1.42

17. The heights (in inches) of 10 adult males are listed below. Find the population variance (o2). 70 72 71 70 69 73 69 68 70 71

a. 2.35
b. 2.75
c. 2.01
d. 2.17
18.
In a random sample, 10 students were asked to compute the distance they travel on way to school to the nearest tenth of a mile. The data is listed below.

1.1 5.2 3.6 5.0 4.8 1.8 2.2 5.2 1.5 0.8

a. 4.4
b. 4.9
c. 5.2
d. 3.6

19. What is the sample standard deviation (s) for the above data set?
a. 1.0
b. 1.8
c. 1.4
d. 2.2

20.
What is the sample variance (S2) for the above data set?
a. 3.75
b. 3.445
c. 3.278
d. 3.324

Solution Summary

This solution contains step-by-step calculations to determine the mean, standard deviation and variance. All steps are shown with full workings.

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