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Mean, Median and Mode may be the same for some data. State whether the statement is true or false.

Solution:

Given, Mean, Median and Mode may be the same for some data.

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

The mean is the average or a calculated central value of a set of numbers and is used to measure the central tendency of the data.

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

A mode is defined as the value that has a higher frequency in a given set of data.

Example: Considering 4, 3, 4, 3, 4, 6, 4

Arranging the data in ascending order, we get

3, 3, 4, 4, 4, 4, 6

Mean = (3 + 3 + 4 + 4 + 4 + 4 + 6)/7 = 28/7 = 4

Median = 4

Mode = 4

Therefore, mean, median and mode are same for some data.

✦ Try This: The probability of getting a Queen out of a deck of cards is greater than 1. 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 39

Mean, Median and Mode may be the same for some data. State whether the statement is true or false

Summary:

The given statement, ”Mean, Median and Mode may be the same for some data” is true.

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