Question

Find the mean deviation about the median of the following data:
$11,3,8,7,5,14,10,2,9$.

• A. $2.8$
• B. $3$
• C. $3.3$
• D. $2.9$

Answer 1

The correct option is B $3$

Arranging the given observations in ascending order,
$2,3,5,7,8,9,10,11,14$
Here, $n=9$, which is odd.
So median,$M=5^{th}$ observation $=8$
Calculating the deviation : $|x_i-M|$ we get,
$-6,-5,-3,-1,0,1,2,3,6$.
$\therefore M.D\left(M\right)=\frac{\sum |x_i-u|}{n}=\frac{27}{9}=3$
Thus, $M.D\left(M\right)=3$.
Ans- Option $B$