Question

The following observations are arranged in ascending order:
$26,29,42,53,x,x+2,70,75,82,93$
If the median is $65,$ find the value of $x$.

• A. $62$
• B. $64$
• C. $65$
• D. $68$

Answer 1

Answer: (B)

$64$

If total no. of terms,i.e,n is even, then

Median $=$ average of $\frac{n}{2}$th term,and,$(\frac{n}{2}+1)$th term

Median $=$ average of $5$th term and $6$th term

$=$ $\frac{x+x+2}{2}$

$\Rightarrow$ $65=x+1$

$\Rightarrow$ $x=64$