The median of the data arranged in ascending order 8, 9, 12, 18, (x + 2), (x + 4), 30, 31, 34, 39 is 24. The value of x is
Given data = 8, 9, 12, 18, (x + 2), (x + 4), 30, 31, 34, 39
We have n = 10 (even)
Median = 1/2 [Value of (n/2)th term + (n/2 + 1)th term]
Now, Median = 24 (given)
24 = 1/2 [ Value of 5th term + Value of 6th term]
24 × 2 = (x + 2) + (x + 4)
48 = 2x + 6
48 – 6 = 2x
42 = 2x
So,
x = 42/2 = 21