Question

The following data have been arranged in ascending order of magnitude.
$63,66,69,x,x+2,76,89$ and $103$.
If the median of the given data is $71$, find the value of $x$.

• A. $60$
• B. $69$
• C. $70$
• D. None of these

Answer 1

Answer: (C)

$70$

median of the data: $63,66,69,x,x+2,76,89,103$ is $71$
The number of observations in the data are 8. Hence, the median will be the mean of $3^{rd}$ term and $4^{th}$ term,
Thus, $\frac{x+x+2}{2}=71$
$\Rightarrow 2x+2=142$
$\Rightarrow x=70$