SOLUTION: Calculate the value of the sample variance. Round your answer to one decimal place. 6,6,8,8,8,14,6

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Question 1152171: Calculate the value of the sample variance. Round your answer to one decimal place.
6,6,8,8,8,14,6
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
sample variance of 6}}},6,8,8,8,14,6
the sample variance measures how much the data is spread out in the sample
For a data set x%5B1%5D,.......x%5Bn%5D (n elements ) with an average x, variance is
Var+%28x+%29=+sum%28%28x%5Bi%5D-avarae%28x%29%29%5E2%2F%28n-1%29%2C1%2Cn%29
n=7
average x:
%286%2B6%2B8%2B8%2B8%2B14%2B6%29%2F7+=8
%28x%5Bi%5D-avarae%28x%29%29%5E2=%288-6%29%5E2=4, same tree times
%28x%5Bi%5D-avarae%28x%29%29%5E2=%288-8%29%5E2=0,same tree times
%28x%5Bi%5D-avarae%28x%29%29%5E2+=%2814-8%29%5E2=6%5E2=36, one time
sum of %28x%5Bi%5D-avarae%28x%29%29%5E2+=4%2B4%2B4%2B0%2B0%2B0%2B36=48
Var+%28x+%29=+48%2F%287-1%29
Var+%28x+%29=+48%2F6
Var+%28x+%29=+8