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

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

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

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) 61 5 305 -6.45 208.0125 -1341.6806 8653.84 64 18 1152 -3.45 214.245 -739.1453 2550.0511 67 42 2814 -0.45 8.505 -3.8273 1.7223 70 27 1890 2.55 175.5675 447.6971 1141.6277 73 8 584 5.55 246.42 1367.631 7590.352 --- --- --- --- --- --- --- -- n=100 sum f*x=6745 -- =852.75 =-269.325 =19937.5931

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

=sqrt(852.75/100)

=sqrt(8.5275)

=2.9202

Population Skewness = (sum(x - bar x)^3)/(n*S^3)

=-269.325/(100*(2.9202)^3)

=-269.325/(100*24.9019)

=-0.1082`

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