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

These NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 Questions and Answers are prepared by our highly skilled subject experts.

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

Question 1.
The scores in mathematics test (out of 25) of 15 students are 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?
Answer:
Arrange the given data in ascending order, we get, 5, 9, 10,12, 15,16, 19, 20, 20, 20, 20, 23, 24, 25, 25
(a) Mode of the data = 20
20 is repeated 4 times

(b) Median of the data = 20
Since the middle value of the data is 20
Obviously, here the mode and median are the same.

Question 2.
The runs scored in a cricket match by 11 players are 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?
Answer:
Arrange the given data in ascending order, we get, 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120
(i) Mean of the data

(ii) Since 15 is repeated 3 times, the mode of the data = 15
(iii) The value of the middle observation is 15. The Median of the data =15.
Here mean, median and mode 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 mode?
Answer:
Arrange the given data in ascending order, we get,
32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50
(i) Since 38 and 43 are repeated 3 times, the mode of the data = 38 and 43
The value of the middle observation is 40.
∴ Median of the data = 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
Answer:
Arrange the given data in ascending order, we get, 12, 12, 13, 13, 14, 14, 14, 16, 19
Since 14 is repeated 3 times, the mode of the data = 14
Again the value of the middle observation is 14, median of the data = 14

Question 5.
Tell whether the following statements 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.
Answer:
(i) True
(ii) False
(iii) True
(iv) False