Answer to Question #263582 in Statistics and Probability for DANCAN

Question #263582

a)     Find the moment coefficient of Skewness and kurtosis for the data below.

           9, 3, 4, 2, 9, 5, 8, 4, 7, 4      



1
Expert's answer
2021-11-10T14:26:24-0500

Skewness:


μ3=(xiμ)3(n1)σ3\mu_3=\frac{\sum (x_i-\mu)^3}{(n-1)\sigma^3}


μ=xi/n=5.5\mu=\sum x_i/n=5.5


σ=(xiμ)2n=2.42\sigma=\sqrt{\frac{(x_i-\mu)^2}{n}}=2.42


μ3=0.302\mu_3=0.302


kurtosis:


kurt(X)=μ4σ4kurt(X)=\frac{\mu^4}{\sigma^4}


μ4=(xiμ)4n\mu^4=\frac{\sum(x_i-\mu)^4}{n}


kurt(X)=1.443kurt(X)=1.443


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