Question

Calculate the mean deviation about the median for the following data.

• A. $9.35$
• B. $7.35$
• C. $26$
• D. $14.35$

Answer 1

Answer: (B)

$7.35$

Answer 2

Converting the given series into an exclusive series, we prepare the table given below. Thus $N = 100$ and therefore, $\frac{N}{2} = 50$ $\Rightarrow$ median class is $35.5 - 40.5$ $\Rightarrow l = 35.5$, $f= 26$, $h= 5$ and $C = 37$ $\therefore$ Median $= l + \frac{\left(\frac{N}{2}-C\right)}{f}\times h$ =\left\\{35.5+\frac{\left(50-37\right)}{26}\times5\right\\} $\left(35.5+2.5\right)=38$.