Mean of the observations can be lesser than each of the observations. State whether the statement is true or false.

Solution:

Given, Mean of the observations can be lesser than each of the observations.

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.

Central tendency is the statistical measure that recognizes the entire set of data or distribution through a single value. It provides an exact description of the whole data.

Mean = sum of all observations / number of observations

Example: consider the data 7, 3, 9, 1, 10

Sum of observation = 7 + 3 + 9 + 1 + 10

= 10 + 10 + 10

= 30

Number of observations = 5

Mean = 30/5 = 6

We observe that the mean is lesser than the observations 7, 9 and 10.

Therefore, mean of the observations cannot be lesser than each of the observations.

✦ Try This: Mean of the observations can be greater than each of the observations. 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 44

Mean of the observations can be lesser than each of the observations. State whether the statement is true or false

Summary:

The given statement, ”Mean of the observations can be lesser than each of the observations” is false.

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