Consider the data : 2, 3, 9, 16, 9, 3, 9. Since 16 is the highest value in the observations, is it correct to say that it is the mode of the data? Give reason.

Solution:

The data given is

2, 3, 9, 16, 9, 3, 9

Mode is defined as the value that is repeatedly occurring in a given set.

It is the observation which has the highest frequency and not the one with highest value.

The mode here is 9 and not 16.

Therefore, it is not correct to say that 16 is the mode.

✦ Try This: Consider the data : 3, 4, 10, 15, 10, 4, 10. Since 15 is the highest value in the observations, is it correct to say that it is the mode of the data? Give reason.

The data given is

3, 4, 10, 15, 10, 4, 10

Mode is defined as the value that is repeatedly occurring in a given set.

It is the observation which has the highest frequency and not the one with highest value.

The mode here is 10 and not 15.

Therefore, it is not correct to say that 15 is the mode.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.2 Sample Problem 3

Consider the data : 2, 3, 9, 16, 9, 3, 9. Since 16 is the highest value in the observations, is it correct to say that it is the mode of the data? Give reason.

Summary:

Consider the data : 2, 3, 9, 16, 9, 3, 9. Since 16 is the highest value in the observations, it is not correct to say that it is the mode of the data

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