Question

The numbers are arranged in the descending order : $108,94,88,82,x+7,x-7,60,58,42,39$. If the median is $73$, the value of $x$ is:

• A. $72$
• B. $73$
• C. $76$
• D. $75$

Answer 1

The correct option is B $73$

Numbers are $108,94,88,82,x+7,x-7,60,58,42,39$

Median $=73$

Median $=\frac{\left(\frac{n}{2}\right)+(\frac{n}{2}+1)}{2}$

$\left(\frac{n}{2}\right)$th obs $=x+7$

$(\frac{n}{2}+1)$th obs $=x-7$

$73=\frac{(x+7)+(x-7)}{2}=>146=2x=>x=73$