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

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


Skewness :
Mean `bar x = (sum x)/n`

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

`=880/10`

`=88`

`x``(x - bar x)`
`= (x - 88)`
`(x - bar x)^2`
`= (x - 88)^2`
`(x - bar x)^3`
`= (x - 88)^3`
`(x - bar x)^4`
`= (x - 88)^4`
85-39-2781
968645124096
76-12144-172820736
108204008000160000
85-39-2781
80-864-5124096
10012144172820736
85-39-2781
70-18324-5832104976
957493432401
---------------
880012162430317284


Sample Standard deviation `S = sqrt((sum (x - bar x)^2)/(n-1))`

`=sqrt(1216/9)`

`=sqrt(135.1111)`

`=11.6237`



Sample Skewness `= (sum(x - bar x)^3)/((n-1)*S^3)`

`=2430/(9*(11.6237)^3)`

`=2430/(9*1570.4951)`

`=0.1719`








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