The measures of central tendency may not lie between the maximum and minimum values of data. State whether the statement is true or false.

Solution:

Given, the measures of central tendency may not lie between the maximum and minimum values of data.

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

The central tendency is defined as the statistical measure that can be used to represent the entire distribution or a dataset using a single value called a measure of central tendency.

Measures of central tendency describe a set of data by identifying the central position in the data set as a single representative value.

The 3 main measures of central tendency are Mean, Median and Mode.

a. Mean - Sum of all observations divided by the total number of observations.

b. Median - The middle or central value in an ordered set.

c. Mode - The most frequently occurring value in a data set.

Therefore, the measures of central tendency lie between the minimum and maximum observations.

✦ Try This: It is possible to get a sum of 12 of the numbers on both dice when a pair of dice is thrown together. State whether the given statement is true or false.

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

NCERT Exemplar Class 7 Maths Chapter 3 Problem 35

The measures of central tendency may not lie between the maximum and minimum values of data. State whether the statement is true or false.

Summary:

The given statement,”The measures of central tendency may not lie between the maximum and minimum values of data” is false.

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