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. $65$
• B. $68$
• C. $62$
• D. $70$

Answer 1

Answer: (C)

$62$

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
$63=\frac{x+x+2}{2}$
$126=2x+2$
$2x=124$
$x=62$