Gujarat Board 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

∵ Highest occurring observation is 20.

∴ Mode of the data = 20

Again, the middle value = 20

∴ 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) ∵ Highest occurring observation is 15.

∴ Mode of the data = 15.

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

∴ 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:

∵ The most occurring observations are 38, and 43.

∴ Modes of the data are 38 and 43.

Median:

∵ Value of the middle term is 40.

∴ 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

∵ Highest occurring observation is 14.

∴ Mode of the given data =14

Again, the value of the middle observation is 14.

∴ 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