Gujarat BoardĀ GSEB Textbook Solutions Class 7 Maths Chapter 3 Data Handling Ex 3.2 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 7 Maths Chapter 3 Data Handling Ex 3.2

Question 1.

The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the mode and median of this data. Are they same?

Solution:

Writing the data in ascending order, we have:

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

āµ Highest occurring observation is 20.

ā“ Mode of the data = 20

Again, the middle value = 20

ā“ Median of the data = 20

Obviously, here the mode and median are the same.

Question 2.

The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Find the mean, mode and median of this data. Are the three same?

Solution:

Arranging the given data in an ascending order, we have:

6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120

(i) Mean of the data

(ii) āµ Highest occurring observation is 15.

ā“ Mode of the data = 15.

(iii) āµ The value of the middle observation is 15.

ā“ Median of the data is 15.

Here, mean, mode and median are not the same.

Question 3.

The weights (in kg) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

(i) Find the mode and median of this data.

(ii) Is there more than one model?

Solution:

Arranging the given data in ascending order, we have:

32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50

(i) Mode:

āµ The most occurring observations are 38, and 43.

ā“ Modes of the data are 38 and 43.

Median:

āµ Value of the middle term is 40.

ā“ Median of the data is 40.

(ii) Yes, there are more than one mode.

Question 4.

Find the mode and median of the data:

13, 16, 12, 14, 19, 12, 14, 13, 14

Solution:

Writing the given data in ascending order, we have:

12, 12, 13, 13, 14, 14, 14, 16, 19

āµ Highest occurring observation is 14.

ā“ Mode of the given data =14

Again, the value of the middle observation is 14.

ā“ Median of the data = 14.

Question 5.

Tell whether the statement is true or false:

(i) The mode is always one of the numbers in a data.

(ii) The mean is one of the numbers in a data.

(iii) The median is always one of the numbers in a data.

(iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

Solution:

(i) True

(ii) False

(iii) True

(iv) False