If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected. State whether the statement is true or false.

Solution:

Given, the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.

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.

Example: Find the median of 2, 18, 4, 21, 9, 11, 6

Arranging the data in ascending order, we get

2, 4, 6, 9, 11, 18, 21

Median = middle value

= 9

The extreme observations are removed.

The data becomes 4, 6, 9, 11, 18

Now, median = 9

If the extreme values are removed, the mid value will remain the same.

Therefore, the middle value does not get affected.

✦ Try This: If the extreme observations on both the ends of a data arranged in ascending order are removed, the mode gets affected. 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 34

If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected. State whether the statement is true or false

Summary:

The given statement, ”If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected” is false.

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