NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2

# NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 are the part of NCERT Solutions for Class 7 Maths (Rationalised Contents). Here you can find the NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2.

## NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 (Rationalised Contents)

### Ex 3.2 Class 7 Maths 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:
Arranging the scores of mathematics test in ascending order, we get
5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25
Clearly, 20 occurs the maximum number of times, i.e., four.

Mode = 20

Here, N = 15 (which is odd)

Yes, the mode and median are the same.

### Ex 3.2 Class 7 Maths 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:

### Ex 3.2 Class 7 Maths 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 mode?

Solution:
(i) Arranging the weights (in kg) of the students in ascending order, we get
32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50
Clearly, 38 and 43 occur the maximum number of times.
Modes are 38 and 43.
Here, N = 15, which is odd.

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

### Ex 3.2 Class 7 Maths Question 4.

Find the mode and median of the following data:
13, 16, 12, 14, 19, 12, 14, 13, 14

Solution:
Arranging the data in ascending order, we get
12, 12, 13, 13, 14, 14, 14, 16, 19
Clearly, 14 occurs the maximum number of times.

Mode = 14

Here, N = 9, which is odd.

### Ex 3.2 Class 7 Maths 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) False

(iv) False