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Calculate the sample standard deviation & sample variance for the following frequency distribution of hourly wages for a sample of pharmac

Calculate the sample standard deviation và sample variance for the following frequency distribution of hourly wages for a sample of pharmacy assistants.

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Class Frequency8.26 2010.01-11.75 3811.76 3613.51-15.25 2515.26-17.00 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.

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i.e.

So, the table becomes:

Next, calculate the mean

Next, the sample variance is:

So, we have:

The sample standard deviation is: