Express the rational number a) − with denominator 12 b) − with numerator 8
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NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2
September 9, 2019 by phani
NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2
Class 7 Maths Data Handling Exercise 3.1
Class 7 Maths Data Handling Exercise 3.2
Class 7 Maths Data Handling Exercise 3.3
Class 7 Maths Data Handling Exercise 3.4
NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Exercise 3.2
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:
Given data:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Let us arrange the given data in increasing order
NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 1
Since 20 occurs 4 times (highest)
∴ Mode = 20
n = 15 (odd)
∴ Median = n+12 th term =15+12
= 8th term = 20
Thus, median = 20 and mode = 20
∴ Mode and median are 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:
Given data:
6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15
NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 2
Arranging the given data in increasing order, we get
NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 3
Here, 15 occurs 3 times (highest)
∴ Mode = 15
n = 11 (odd)
∴ Median = (11+12)th term = 6th term = 15
Thus mean = 39, mode = 15 and median = 15
No, they are not same.
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:
Step-by-step explanation:
(a) To make the denominator 36, we have to multiply numerator and denominator by 9. (3 x 9)/(4 x 9) = 27/36
(b) To make the denominator -80, we have to multiply numerator and denominator by -20. 3 x (-20)/4 x (-20) = -60/-80