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Problem: Population kurtosis {{61,64,67,70,73},{5,18,42,27,8}} [ Calculator, Method and examples ]

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

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

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

=sqrt(852.75/100)

=sqrt(8.5275)

=2.9202

Population Kurtosis = (sum(x - bar x)^4)/(n*S^4)

=19937.5931/(100*(2.9202)^4)

=19937.5931/(100*72.7183)

=2.7418`

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