Question

The coefficient of mean deviation from median of observations $40,62,54,90,68,76$ is

• A. $2.16$
• B. $0.2$
• C. $5$
• D. None of these

Answer 1

The correct option is B $0.2$

Arrange the given observations in ascending order
$40,54,62,68,76,90$
Here, number of terms $n=6\left(even\right)$
$\therefore$ Median (M) $=\frac{\left(\frac{n}{2}\right)thterm+(\frac{n}{2}+1)thterm}{2}=\frac{62+68}{2}=65$
$\Sigma |x_i-M|=25+11+3+3+11+25=78$
Mean deviation from median $=\frac{\Sigma |x_i-M|}{n}=\frac{78}{6}=13$
$\therefore$ Coefficient of M.D.=$=\frac{M.D.}{median}=\frac{13}{65}=0.2$