The observations 29, 32 ,48, 50, x, x+2, 72, 78, 84 and 95 are arranged in ascending order. What is the value of x, if the median of the data is 63?

Question

The observations $29, \quad 32, \quad 48, \quad 50$, $x, x+2,72,78,84$ and 95 are arranged in ascending order. What is the value of $x$, if the median of the data is 63 ?

(a) 61

(c) 62.5

(b) 62

(d) 63

Answer 1

$\therefore$ Median $=\frac{\text { Value of }\left(\frac{10}{2}\right) \text { th term }+ \text { Value of }\left(\frac{10}{2}+1\right) \text { th term }}{2}$

$=\frac{\text { Value of } 5 \text { th term }+ \text { Value of } 6 \text { th term }}{2} \\=\frac{x+x+2}{2}=x+1$

But Median $=63$

$\Rightarrow \quad x=62$

Correct Option is (B).