Question

Ten observations 6, 14, 15, 17, x+1, 2x-13, 30, 32, 34, 43 are written in an ascending order. The median of data is 24. Find the value of x.

• A. 17
• B. 20.33
• C. 30
• D. 20

Answer 1

The correct option is D

20

Since the number of terms is 10 which is even, the median will be average of 5th and 6th terms
$\text{Median}=\frac{(x+1)+(2x-3)}{2}=\frac{3x-12}{2}=24$

$3x-12=48$

$3x=48+12=60$

$x=\frac{60}{3}$
$x=20$