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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