Question

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
(a) 22
(b) 21
(c) 20
(d) 24

Answer 1

ANSWER:
(b) 21
The given data is in ascending order.
Here, n is 10, which is an even number.
Thus, we have:
Median =Mean of n/2th & n/2+1th observations
=24Also,x+3=24⇒x=21
=5th observation+6th observation
=1/2(x+2+x+4)=(x+3)
Also,x+3=24⇒x=21