Question

I need help with the pearson index

Answer 1

Mean = 16.5

median =15

s.d =4.2

$\begin{gathered} \text{pearson's index}= \\ \frac{3(\text{ mean - median)}}{s\tan dard\text{ deviation}} \end{gathered}$$\frac{3\text{ (16.5 - 15)}}{4.2}$$\begin{gathered} =\frac{3(1.5)}{4.2} \\ =\frac{4.5}{4.2} \\ =1.07143 \end{gathered}$

Since the Person's Index is not bewteen -1 and 1 then it is not symmetric

if it was -1 or less then it would have been skewed to the left

If it was 1 or greater it would have been skewed to the right