Question

The following observations have been arranged in ascending order.If the median of the data is 63,find the value of x:

29,32,48,50,x,x+2,72,78,84,95

• A. 57
• B. 64
• C. 63
• D. 62

Answer 1

The correct option is D

62

Median=63

29,32,48,50,x,x+2,72,78,84,95

Here n=10 which is even

Median is the average of the middle data

Here the middle data is x and x + 2 and median = 63

$\therefore$ $\frac{x+x+2}{2}=63$

$\frac{2x+2}{2}=63$

$2x+2=126$

$2x=124$

$x=62$