The median of observations 11, 12, 14, 18, x + 2, 20, 22, 25, 61 arranged in ascending order is 21. Find the value of x.

Solution:

Given, the data is 11, 12, 14, 18, x + 2, 20, 22, 25, 61.

The median of the observation arranged in ascending order is 21.

We have to find the value of x.

When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.

The data in ascending order is 11, 12, 14, 18, x + 2, 20, 22, 25, 61

Number of observations, n = 9

If n is odd, then median = (n+1)/2 th term

Median = (9+1)/2 th term

= 10/2 th term

= 5th term

5th term = x + 2

So, x + 2 = 21

x = 21 - 2

x = 19

Therefore, the median is 19.

✦ Try This: The median of observations 2, 4, 6, x + 2, 12, 14, 16 arranged in ascending order is 10. Find the value of x.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 3

NCERT Exemplar Class 7 Maths Chapter 3 Sample Problem 14

The median of observations 11, 12, 14, 18, x + 2, 20, 22, 25, 61 arranged in ascending order is 21. Find the value of x.

Summary:

The median of observations 11, 12, 14, 18, x + 2, 20, 22, 25, 61 arranged in ascending order is 21. The value of x is 19.

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