The given data is arranged in ascending order. The median of the data is 63. Find the value of x.

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

Correct option is A

Given:

The data is arranged in ascending order:

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

The median of the data is given as 63.
We are asked to find the value of x.

Concept Used:

The median of a data set is the middle value when the data is ordered. If there is an even number of data points, the median is the average of the two middle values.

Since the data set has 10 values (an even number), the median will be the average of the 5th and 6th values in the ordered list.

Solution:
The 5th value is x and the 6th value is x + 2.
The median is given as 63, so:

​$$\frac{x + (x + 2)}{2} = 63$$​

​$$\frac{2x + 2}{2} = 63$$​

x + 1 = 63

x = 62