Question

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

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

Answer 1

Answer: (D)

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