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The mean of ungrouped data and the mean calculated when the same data is grouped are always the same. Do you agree with this statement? Give reason for your answer

Solution:

When the mean of grouped data is calculated, it is assumed that the frequency of each class is centred at the mid point

So the two values of the mean, i.e. from grouped and ungrouped data, are the same.

Therefore, the statement is not true.

The mean of ungrouped data and the mean calculated when the same data is grouped are always the same. Do you agree with this statement? Give reason for your answer.

✦ Try This: Someone is asked to take a number from 1 to 30. The probability that it is a prime is

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that

Total number of outcomes = 30

Prime numbers between 1-30 are

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

So the probability that it is a prime = Favourable outcomes/ Total outcomes

Substituting the values

= 10/30

= 1/3

Therefore, the probability that it is a prime is 1/3.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.2 Sample Problem 1

The mean of ungrouped data and the mean calculated when the same data is grouped are always the same. Do you agree with this statement? Give a reason for your answer

Summary:

The statement “The mean of ungrouped data and the mean calculated when the same data is grouped are always the same” is not true

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