Question

The median of the following observations are arranged in ascending order. 8,9,12,18,(x+2),(x+4),30,31,34 is 24. find the value of x.

Answer 1

Given data,

8, 9, 12, 18, (x+2) , (x+4) , 30, 31, 34,

Number of observations (n) = 9 (odd)

Median of follwing data

$\\ \\ = \frac{(n+1)}{2}th \ term \\ \\ 24 = 5th \ term \\ \\24 = x+2 \\ \\ 24 = x + 2 \\ \\ x = 22$

x = 22