Skewness Can Be Measured by Pearson's Index of Skewness $$\mathrm { I } = \frac { 3 ( \overline { \mathrm { x } } - \text { median } ) } { \mathrm { s } }$$

Short Answer

Skewness can be measured by Pearson's index of skewness: $$\mathrm { I } = \frac { 3 ( \overline { \mathrm { x } } - \text { median } ) } { \mathrm { s } }$$
If $\mathrm { I } \geq 1.00$ or $\mathrm { I } \leq - 1.00$ , the data can be considered significantly skewed. Find Pearson's index of skewness for the test scores below.

$\begin{array} { l l l l l l } 68 & 80 & 36 & 94 & 72 & 42 \\ 75 & 91 & 84 & 73 & 88 & \end{array}$

A) $0.32$
B) $- 0.27$
C) $- 0.32$
D) $- 0.34$