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

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


`x``x - bar x = x - 88``(x - bar x)^2`
85-39
96864
76-12144
10820400
85-39
80-864
10012144
85-39
70-18324
95749
---------
`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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