Answer to Question #127233 in Statistics and Probability for zeleke

Question

For a given set of data m3 = 10.8 and m2 = 9.2; determine and explain the skewness of the distribution.
25. A given distribution has m4 = 108.8 and m2 = 8.0; determine and explain kurtosis of the distribution

Answer 1

$24) coefficient\; of \;skewness\; =\frac{m_{3}^2}{m_{2}^3}=\frac{10.8^2}{9.2^3}\approx 0.15\\ \text{the distribution is approximately symmetric.}\\ 25)coefficient\; of \;kurtosis \; =\frac{m_{4}}{m_{2}^2}=\frac{108.8}{8^2}\approx 1.7\\ \text{the distribution is platykurtic.}\\$