Question

The mode and mean are 26.6 and 28.1 respectively in an asymmetrical distribution. Find out the value of median.

Answer 1

Given: Mode (Z) = 26.6, Mean $\left(\overline{X}\right)=28.1$
$Z=3M-2\overline{X}$

Substituting the values, we get

$26.6=3M-2\times 28.1$

$\Rightarrow 26.6=3M-56.2$

$\Rightarrow 3M=26.6+56.2=82.8$

$\Rightarrow M=\frac{82.8}{3}=27.6$

Median Value $=27.6$