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

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


Kurtosis :
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`
85-39-27
96864512
76-12144-1728
108204008000
85-39-27
80-864-512
100121441728
85-39-27
70-18324-5832
95749343
------------
880012162430


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

`=sqrt(1216/9)`

`=sqrt(135.1111)`

`=11.6237`



Sample Kurtosis `= (sum(x - bar x)^4)/((n-1)*S^4)`

`=317284/(9*(11.6237)^4)`

`=317284/(9*18255.0123)`

`=1.9312`








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