Question

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

• A. $55$
• B. $48$
• C. $56$
• D. $57$

Answer 1

The correct option is D $57$

The 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 $=x+1$
$58=x+1$
$x=57$