Question

Suppose a distribution has mean =20
,Median=10 and SD = 15; Then the value of Coefficient of skewness is, ​

Answer 1

Given,

Mean$\[ = 20\]$

Median$\[ = 10\]$

Standard Deviation$\[ = 15\]$

Solution,

Apply the formula of coefficient of skewnwess.

$\[ \Rightarrow \frac{{3\left( {{\rm{Mean}} - {\rm{Median}}} \right)}}{{{\rm{Standard}}\,\,{\rm{Deviation}}}}\]$

Apply values.

$\[\begin{array}{l} \Rightarrow \frac{{3\left( {20 - 10} \right)}}{{15}}\\ \Rightarrow \frac{{3 \times 10}}{{15}}\\ \Rightarrow 2\end{array}\]$

Hence, the value of coefficient of skewness is $\[2\].$