# Median of the data may or may not be from the given data. State whether the statement is true or false.

**Solution:**

Given, Median of the data may or may not be from the given data.

We have to determine if the given statement is true or false.

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

f n is odd, then __median__ = (n+1)/2 th term

Example: consider the data 11, 4, 18, 7, 20

Arranging the data in __ascending order__, we get

4, 7, 11, 18, 20

n = 5

Median = (5+1)/2 th term

= 6/2 th term

= 3 rd term

Median = 11

If n is even, then median = [(n/2)th term + (n/2 + 1)th term]/2

Example: consider the data 11, 4, 18, 7, 20, 15

Arranging the data in ascending order, we get

4, 7, 11, 15, 18, 20

n = 6

Median = [(6/2)th term + (6/2 + 1)th term]/2

= [3rd term + (3+1)th term]/2

= [3rd term + 4th term]/2

= (11+15)/2

= 26/2

Median = 13

Therefore, median may or may not be from the given data.

**✦ Try This: **Median of the data is alwyas from the given data. State whether the statement is true or false.

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

**NCERT Exemplar Class 7 Maths Chapter 3 Problem 42**

## Median of the data may or may not be from the given data. State whether the statement is true or false

**Summary:**

The given statement, ”Median of the data may or may not be from the given data” is true

**☛ Related Questions:**

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