Answer to Question #263582 in Statistics and Probability for DANCAN

Question

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

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

Answer 1

Skewness:

$\mu_3=\frac{\sum (x_i-\mu)^3}{(n-1)\sigma^3}$

$\mu=\sum x_i/n=5.5$

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

$\mu_3=0.302$

kurtosis:

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

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

$kurt(X)=1.443$