Question

Mean deviation about the median of the data $x_1, x_2, x_3, .... , x_n$, the median being 'M', is

• A. $\sum^{n}_{i=1}\left|x_{i} -M\right| $
• B. $\frac{1}{n}\sum^{n}_{i=1} \left|x_{i} - \bar{x}\right| $
• C. $\sqrt{\frac{1}{n} \sum^{n}_{i=1} \left(x_{i} - \bar{x}\right)^{2}}$
• D. $ \frac{1}{n} \sum^{n}_{i=1} \left|x_{i} -M\right| $

Answer 1

Answer: (D)

Mean deviation of about median
$ \frac{1}{n} \sum^{n}_{i=1} \left|x_{i} -M\right| $ M being the median.