The correct option is D 20
The ten observations are 6, 14, 15, 17, x+1, 2x-13, 30, 32, 34, 43
Since the number of terms is 10 which is even, the median will be average of the 5th and 6th terms
5th term = x +1, 6th term = 2x - 13
Median=(x+1)+(2x−13)2⇒24=(x+1)+(2x−13)2⇒3x−122=24
⇒3x−12=48
⇒3x=60
⇒x=20