SOLUTION: Find the standard deviation of this sample of numbers. Round your answer to at l,east two decimal places 4,7,8,10,11 ,,

Algebra ->  Probability-and-statistics -> SOLUTION: Find the standard deviation of this sample of numbers. Round your answer to at l,east two decimal places 4,7,8,10,11 ,,       Log On


   

Question 336766: Find the standard deviation of this sample of numbers. Round your answer to at l,east two decimal places
4,7,8,10,11
,,
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the average.
%284%2B7%2B8%2B10%2B11%29%2F5=8
Then find the deviation from the average, squared for each point.
%284-8%29%5E2=16
%287-8%29%5E2=1
%288-8%29%5E2=0
%2810-8%29%5E2=4
%2811-8%29%5E2=9
Sum those,
S=16%2B1%2B0%2B4%2B9=30
Then divide by the number of points and take the square root.
sqrt%28S%2FN%29=30%2F5=sqrt%286%29=2.45 if this is the entire population.
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Then divide by one less than the number of points and take the square root.
sqrt%28S%2F%28N-1%29%29=30%2F4=sqrt%2815%2F2%29=2.74 if this data is a sample of a population.