The following observations have been arranged in ascending 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

Median: For finding the median we first arrange the observation in ascending order as follows,

Ascending order : 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

Median = 63

63 =  Size of ($\frac{n}{2}$) $+$ ( $\frac{n}{2}$$+$1) th observation /2

63 = size of (10/2) $+$ Size of (10/2 $+$ 1)th / 2

63 = size of (5^th) $+$ Size of (6^th) / 2

63 = ( x $+$ x$+$2 )/2

63 = ( 2x $+$ 2)/2

63 = 2( x $+$ 1)/2

63 = (x $+$ 1

x = 63 $-$ 1

x = 62