Question

The following observations have been arranged in a scending order. If the median of the data is 63, find the value of x.
29,32,48,50, x, x +2, 72, 78,84, 95 [2 MARKS]

Answer 1

Concept: 1 Mark
Application: 1 Mark

It can be observed that the total number of observations in the given data is 10 (even number).

Therefore, the median of this data will be the mean of $\frac{10}{2}$ and $\frac{10}{2}+1$.

Median = $\frac{5th\text{observation}+6th\text{observation}}{2}$

$\Rightarrow 63=\frac{x+x+2}{2}$

$\Rightarrow 63=\frac{2x+2}{2}$

$\Rightarrow 63=x+1$

$\Rightarrow x=62$