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# 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

**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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