Question

The median of the observation $11,12,14,18,x+2,x+4,30,32,35$ and $41$ is $24$. Find '$x$'.

• A. $18$
• B. $19$
• C. $20$
• D. $21$

Answer 1

The correct option is D $21$

Number of observations $=10$ , which is even.

So, median is the mean of $5$th and $6$th observation.

Median $=\frac{x+2+x+4}{2}=24$

$2x+6=48$

$2x=42$

$x=21$