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: _________
Answer:
(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:
