Age (in years) of 6 children of two groups are recorded as below:
Age (In years)
Group A Group B
7 7
7 9
9 11
8 12
10 12
10 12
Find the mode and range for each group.

Solution:

Given, the table represents the age of 6 children of two groups in years.

We have to find the mode and range for each group.

Considering group A,

Arranging the data in ascending order, we get

7, 7, 8, 9, 10, 10

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

7 occurs 2 times

10 occurs 2 times

8, 9 occurs one time

Therefore, mode = 7 years and 10 years

We know that the difference between the highest and lowest observations in a given data is called its Range.

Highest observation = 10

Lowest observation = 7

Range = highest observation - lowest observation

= 10 - 7

= 3

Therefore, the range is 3 years.

Considering group B,

Arranging the data in ascending order, we get

7, 9, 11, 12, 12, 12

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

7, 9, 11 occurs one time

12 occurs 3 times

Therefore, mode = 12 years

We know that the difference between the highest and lowest observations in a given data is called its Range.

Highest observation = 12

Lowest observation = 7

Range = highest observation - lowest observation

= 12 - 7

= 5

Therefore, the range is 5 years.

✦ Try This: Given below are heights of 10 boys of a class measured in cm: 130, 164, 146, 148, 132, 122, 128, 127, 130, 150. Find the median of the height of the boys.

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

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NCERT Exemplar Class 7 Maths Chapter 3 Problem 71 (a)

Age (in years) of 6 children of two groups are recorded as below: Find the mode and range for each group

Summary:

The mode and range of group A is 7 years, 10 years and 3 years. The mode and range of group B is 12 years and 5 years.

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