Question

The following observations have been arranged in the ascending order. If the median of the data $29,32,48,50,x,x+2,72,78,84,95$ is $63$, then the value of $x$ is ___________.

• A. $63$
• B. $62$
• C. $61$
• D. $60$

Answer 1

Answer: (B)

$62$

Given data is $29,32,48,50,x,x+2,72,78,84,95$

Also given median of data $=63$.

Since, total number of observation are even.

So, $\text{median}=\frac{x+(x+2)}{2}$

$=\frac{2x+2}{2}=x+1$

Thus $63=x+1$

$\Rightarrow x=62$