Question

The median of observations 10, 11, 13, 17, x + 5, 20, 22, 24 and 53 (arranged in ascending order) is 18; find the value of x.

• A. 10
• B. 12
• C. 9
• D. 13

Answer 1

The correct option is D 13

Total number of observations = 9 (odd)
Now, if n = odd
Therefore, Median $={\left(\frac{n+1}{2}\right)}^{th}$
${\left(\frac{9+1}{2}\right)}^{th}=5^{th}\text{term}=x+5$
Now, we are given that median = 18
$x+5=18$
$x=13$