Question

The sum of absolute deviation is least when taken from

• A. Mean
• B. Median
• C. mode
• D. None of the above

Answer 1

The correct option is B Median

Minimum deviation (MD) from mean $=\frac{\sum |X-\overline{X}|}{n}$

MD from median $=\frac{\sum |X-\text{median}|}{n}$

MD from mode $=\frac{\sum |X-\text{mode}|}{n}$

Since median $>$ mean $\left(\overline{X}\right)$ and median > mode.

So, It is clear that the mean deviation from median has the least value.