Question

The following observations have been arranged in ascending order. If median of these observations is $58$, find the value of $x$.
$24,27,43,48,x-1,x+3,68,73,80,90$

• A. $58$
• B. $57$
• C. $55$
• D. $59$

Answer 1

The correct option is B $57$

Given series is: $24,27,43,48,x-1,x+3,68,73,80,90$
Since, the series has $10$ observations, the median will be the mean of $5^{th}$ and $6^{th}$ observation.
Median $=\frac{x-1+x+3}{2}$
Median $=x+1$
$\Rightarrow 58=x+1$
$\Rightarrow x=57$