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

Solution:

The median is the value of the given number of observations, which divides it into exactly two parts. So, when the data is arranged in ascending (or descending) order the median of ungrouped data can be calculated based on the number of observations being even or odd.

It can be observed that the total number of observations in the given data 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95  is 10 (even number). Therefore, the median of this data will be the average of 10/2 i.e., 5^th and 10/2 + 1 i.e., 6^th observation.

Therefore, median of the data = (5^th observation + 6^th observation) / 2

⇒ 63 = (x + x + 2) / 2

⇒ 63 = (2x + 2) / 2

⇒ 63 = x + 1

∴ x = 62

☛ Check: Class 9 Maths NCERT Solutions Chapter 14

Video Solution:

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

NCERT Solutions for Class 9 Maths Chapter 14 Exercise 14.4 Question 3

Summary:

If the median of the data  29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 63, the value of x = 62.

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