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Problem: Standard deviation {85,96,76,108,85,80,100,85,70,95} [ Calculator, Method and examples ]

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Your problem -> Standard deviation {85,96,76,108,85,80,100,85,70,95}

 x x - bar x = x - 88 (x - bar x)^2 85 -3 9 96 8 64 76 -12 144 108 20 400 85 -3 9 80 -8 64 100 12 144 85 -3 9 70 -18 324 95 7 49 --- --- --- sum x=880 sum (x - bar x)=0 sum (x - bar x)^2=1216

Mean bar x = (sum x)/n

=(85 + 96 + 76 + 108 + 85 + 80 + 100 + 85 + 70 + 95)/10

=880/10

=88

Population Standard deviation sigma = sqrt((sum (x - bar x)^2)/n)

=sqrt(1216/10)

=sqrt(121.6)

=11.0272

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