Question

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

• A. $62$
• B. $36$
• C. $60$
• D. $65$

Answer 1

Answer: (A)

$62$

Since, $63$ is the median of the given data. The two middle most values of the arranged data in the ascending order are $x$ and $x+2$
$\therefore \frac{x+(x+2)}{2}=63$
$\Rightarrow \frac{2x+2}{2}=63$
$\Rightarrow x+1=63$
$\Rightarrow x=62$