Question

If the median of the data arranged in ascending order 8,9,12,18,x+2,x+4,30,31,34,39is 24.Then ,find the value of x

Answer 1

Number of observations = 11
Median = (n+1/2)th observation
=(11+1/2)th observation
= (12/2)th observation
= 6th observation
= x+4
x+4 = 24
x = 24-4
= 20

Answer 2

n = 10 (even )

Median = 1/2 [ ( n/2th) term + (n/2 + 1th) term

24 = 1/2 [ 5th term + 6th term ]

48 = x+2+x+4

48=2x + 6

2x = 42

X= 21