Home > Statistical Methods calculators > Sample Skewness, Kurtosis for grouped data calculator

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Problem: skewness {{61,64,67,70,73},{5,18,42,27,8}} [ Calculator, Method and examples ]

Solution:
Your problem `->` skewness {{61,64,67,70,73},{5,18,42,27,8}}


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

`=6745/100`

`=67.45`

`x`
`(2)`
`f`
`(3)`
`f*x`
`(4)=(2)xx(3)`
`(x-bar x)`
`(5)`
`f*(x-bar x)^2`
`(6)=(3)xx(5)`
`f*(x-bar x)^3`
`(7)=(5)xx(6)`
`f*(x-bar x)^4`
`(8)=(5)xx(7)`
615305-6.45208.0125-1341.68068653.84
64181152-3.45214.245-739.14532550.0511
67422814-0.458.505-3.82731.7223
702718902.55175.5675447.69711141.6277
7385845.55246.421367.6317590.352
---------------------
--`n=100``sum f*x=6745``--`=852.75``=-269.325``=19937.5931`


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

`=sqrt(852.75/99)`

`=sqrt(8.6136)`

`=2.9349`



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

`=-269.325/(99*(2.9349)^3)`

`=-269.325/(99*25.2802)`

`=-0.1076`








Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

 
Copyright © 2019. All rights reserved. Terms, Privacy





We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more