SOLUTION: Variance and standard deviation for 7, 8, 9, 6, 9, 12, 22, 15

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Question 715886: Variance and standard deviation for 7, 8, 9, 6, 9, 12, 22, 15
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


So

Sample Standard Deviation: where is the average, is the ith number, and is the number of numbers

So we can replace N with 8



Subtract to get 7



Replace with 11



Expand the summation (replace each with the respective number)




Subtract the terms in the parenthesis



Square each term



Add up all of the terms



Multiply



Take the square root

This is is the sample standard deviation


The sample variance is simply the square of the sample standard deviation, so the sample variance is 28.

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