SOLUTION: Calculate the standard deviation for the following data set: 16, 35, 25, 29, 26, 30

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Question 114498: Calculate the standard deviation for the following data set: 16, 35, 25, 29, 26, 30
Answer by Fombitz(32388) About Me  (Show Source):
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First step, find the mean (average),
A=%2816%2B35%2B25%2B29%2B26%2B30%29%2F6
A=26.83
Next find the deviation of each value from the mean,
d%5B1%5D=16-26.83=-10.83
d%5B2%5D=35-26.83=8.17
d%5B3%5D=25-26.83=-1.83
d%5B4%5D=29-26.83=2.17
d%5B5%5D=26-26.83=-0.83
d%5B6%5D=30-26.83=3.17
Then square the deviations,
d%5B1%5D%5E2=117.4
d%5B2%5D%5E2=66.7
d%5B3%5D%5E2=3.4
d%5B4%5D%5E2=4.7
d%5B5%5D%5E2=0.7
d%5B6%5D%5E2=10.0
Sum the squares of deviation,
Sum+=+202.8
Divide by the number of samples and take the square root,
sigma+=+sqrt%28202.8%2F6%29
sigma+=+5.8