Question

The following data has been arranged in ascending order. If their median is $63$, find the value of $x:$
$34,37,53,55,x,x+2,77,83,89$ and $100$

• A. $61$
• B. $62$
• C. $63$
• D. $65$

Answer 1

The correct option is B $62$

The series in ascending order is: $34,37,53,55,x,x+2,77,83,89$ and $100$
The series has $10$ numbers, even numbers.
Hence, the median will be the mean of the two middle numbers
Median = mean of $5^{th}$ and $6^{th}$ terms
$63$ = $\frac{x+x+2}{2}$
$126=2x+2$
$2x=124$
$x=62$