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

Answer: (B)

Arrange the given observations in ascending order $40,54,62,68,76,90$
no. of terms $(n)=6$ (even)
$\therefore$ Median (M)
$=\frac{\left(\frac{n}{2}\right)\text{ th term }+\left(\frac{n}{2}+1\right)\text{ th term }}{2}=\frac{62+68}{2}=65$
$\Sigma \left|x_1-M\right|=25+11+3+3+11+25=78$
M.D. from median $=\frac{\Sigma |x_1-M|}{n}=\frac{78}{6}=13$
$\therefore$ Coefficient of M.D. $=\frac{\text{ M.D. }}{\text{ median }}=\frac{13}{65}=0.2$