Question

Calculate the mean deviation about median for the following data.

• A. $10.16$
• B. $11.12$
• C. $12.16$
• D. $9.16$

Answer 1

Answer: (A)

$10.16$

Answer 2

Form the following table from the given data. Here $N = 50$ $\therefore \frac{N}{2}=25$ Therefore, $20-30$ is the median class. Median $= l+\frac{\frac{N}{2}-C}{f}\times h$ Here $l = 20$, $C = 13$, $f= 15$, $h = 10$ and $N = 50$ Therefore, Median $= 20 +\frac{25-13}{15}\times10$ $= 20+8=28$ Thus, Mean deviation about median is given by $M.D. \left(M\right)= \frac{1}{N} \sum\limits^{6}_{i = 1}f_{i}\left|x_{i}-M\right|$ $= \frac{1}{50}\times508 = 10.16$