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# 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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