If the median of the observations 19, 21, 23, 35, 37, x, x+2, 71, 79, 80, 92, 95 arranged in ascending order is 50. Find the value of ‘x’.

19, 21, 23, 35, 37, x, x+2, 71, 79, 80, 92, 95

Number of observations are $n=2$

$\therefore$ median is Average of  $\frac{n^{th}}{2},{\left(\frac{n}{2}+1\right)}^{th}$ terms 

Median is Average of   $\frac{{12}^{th}}{2},{\left(\frac{12}{6}+1\right)}^{th}$  terms

Median is Average of $6^{th},7^{th}$

Median $=$  average of $6^{th},7^{th}$  terns is $=\frac{n+n+2}{2}=50$

$\Rightarrow 2n+2=100$

$\Rightarrow x=49$