# 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 range and mode if the two groups are combined together.

**Solution:**

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

We have to find the mode and __range__ if the two groups are combined together.

When two groups are combined together, the __data__ becomes

7, 7, 9, 8, 10, 10, 7, 9, 11, 12, 12, 12

Arranging the data __ascending order__, we get

7, 7, 7, 8, 9, 9, 10, 10, 11, 12, 12, 12

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

7 occurs 3 times

8, 11 occurs one time

9 occurs 2 times

10 occurs 2 times

12 occurs 3 times

Therefore, mode = 7 years and 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 mean 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 (b)**

## Age (in years) of 6 children of two groups are recorded as below: Find the range and mode if the two groups are combined together

**Summary:**

The mode and range if the groups are combined together is 7 years, 12 years and 5 years.

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