ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 17 Data Handling Ex 17.3

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 17 Data Handling Ex 17.3

Question 1.
Find the median of the following data:
(i) 3, 1, 5, 6, 3, 4, 5
(ii) 3, 1, 5, 6, 3, 4, 5, 6
Solution:
(i) 3, 1, 5, 6, 3, 4, 5
Arranging in ascending order, 1, 3, 3, 4, 5, 5, 6
Here, N = 7 which is odd
Median = \(\frac { 7+1 }{ 2 }\) th term = 4th term = 4
(ii) 3, 1, 5, 6, 3, 4, 5, 6
Arranging in ascending order, 1, 3, 3, 4, 5, 5, 6, 6
Here, N = 8 which is even

Question 2.
Find the mode of the following data:
(i) 3, 1, 5, 6, 3, 4, 5, 3
(ii)

Solution:
(i) 3, 1, 5, 6, 3, 4, 5, 3
Arranging in order, 1, 3, 3, 3, 4, 5, 5, 6
Here, 3 comes maximum times
Mode = 3
(ii)

Here, 22 comes maximum times
Mode = 18

Question 3.
Find the median and the mode of the data:
13, 16, 12, 14, 19, 12, 14, 13, 14
Solution:
13, 16, 12, 14, 19, 12, 14, 13, 14
Arranging in ascending order, 12, 12, 13, 13, 14, 14, 14, 16, 19
(i) Median = \(\frac { 9+1 }{ 2 }\) th = \(\frac { 10 }{ 2 }\) th = 5th term = 14
(Here n = 9 which is odd)
(ii) 14 comes maximum times
Mode = 14

Question 4.
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 the same?
Solution:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Arranging in ascending order, 5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25
Here, N = 15 which is odd
(i) Median = \(\frac { 15+1 }{ 2 }\) th term = 8th term = 20
Mode = 20 comes maximum times
Mode = 20
Yes, they are same.

Question 5.
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 median and mode of this data.
(ii) Is there more than one mode?
Solution:
38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
Arranging in ascending order, 32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50
Here n = 15 which is odd
Median = \(\frac { 15+1 }{ 2 }\) th = 8th term = 40
Mode : 38 and 43 have come maximum times
Mode is 38 or 43
Yes, there is more than one mode : 38 and 43

Question 6.
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:
6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15
Arranging in ascending order, 6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120
Here n = 11 which is odd

(ii) Median = \(\frac { 11+1 }{ 2 }\) th term = 6 th term = 15
(iii) Mode : 15 comes maximum times
Mode = 15
No, the three are not same, only median and mode are same.

Question 7.
Find the mode of the following data:
12, 14, 12, 15, 16, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 15, 14.
Solution:

We see that the frequency of 15 is the maximum.
Mode = 15

ML Aggarwal Class 7 Solutions for ICSE Maths