Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sample of pharmacy assistants. Class Frequency
8.26 20
10.01-11.75 38
11.76 36
13.51-15.25 25
15.26-17.00 27

Sample Variance:
Sample Standard Deviation:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

So, the table becomes:

Next, calculate the mean

Next, the sample variance is:

So, we have:

The sample standard deviation is:

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