The following observations are arranged in ascending order :
26, 29, 42, 53, x, x + 2, 70, 75, 82, 93
If the median is 65, find the value of x.

Solution:

It is given that

Number of observations n = 10 is even

We know that

Median is the mean of (n/2)th and (n/2 + 1)th observation i.e. 5th and 6th observation

From the data given

5th observation = x

6th observation = x + 2

So we get

Median = [x + (x + 2)]/2 = x + 1

Given

x + 1 = 65

x = 64

Therefore, the value of x is 64.

✦ Try This: The following observations are arranged in ascending order : 25, 28, 41, 52, x, x + 1, 72, 74, 81, 92

If the median is 40, find the value of x.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.3 Sample Problem 2

The following observations are arranged in ascending order : 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93. If the median is 65, find the value of x.

Summary:

The following observations are arranged in ascending order 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93. If the median is 65, the value of x is 64

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