# 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.

**☛ Related Questions:**

- Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
- Find the mean salary of 60 workers of a factory from the following table:
- Give one example of a situation in which(i) The mean is an appropriate measure of central tendency(ii) The mean is not an appropriate measure of central tendency, but the median is an appropriate measure of central tendency.

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