Following is arranged in ascending order. If median of data is 63, find the value of n in series 29, 32, 48, 50, n, n+2, 72, 78, 84, 95. - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

We have median

63

.
No. of observation

= 10

Median = \frac{\frac{n^{t h}}{2} + (\frac{n}{2} + 1)^{t h} observation}{2}

63 = \frac{(\frac{10}{2})^{t h} observation + ({\frac{10}{2} + 1)^{t h}}_{} observation}{2}

63 = \frac{5^{t h} observation + (\frac{12}{2})^{t h} observation}{2}

\frac{n + (n + 2)}{2} = 63

63 \times 2 = 2 n + 2

126 - 2 = 2 n

124 = 2 n

n = 62

Following is arranged in ascending order. If median of data is $63$ , find the value of $n$ in series $29, 32, 48, 50, n, n + 2, 72, 78, 84, 95$ .