Question

The runs scored by Virat in 7 different matches are given as:

$89,91,54,66,13,97,06$

Calculate the mean deviation about the median for this data.

• A. $31.26$
• B. $30.06$
• C. $29.142$
• D. $27.85$

Answer 1

The correct option is C $29.142$

Arranging data in ascending order,

$06,13,54,66,89,91,97$

Here, number of observations $\left(n\right)=7\left(odd\right)$

$\therefore$ $Median={\left(\frac{7+1}{2}\right)}^{th}observation=4^{th}observation.$

$\therefore$ $Median\left(M\right)=66$

$x$	$|x-M|$
$06$	$60$
$13$	$53$
$54$	$12$
$66$	$0$
$89$	$23$
$91$	$25$
$97$	$31$
	$\sum |x-M|=204$

$\Rightarrow$ Mean deviation about median $=\frac{\sum |x-M|}{7}=\frac{204}{7}=29.142$