NCERT Solutions for Class 7 Maths Exercise 3.3 Chapter 3 Data Handling in simple PDF are provided here. Use of bar graphs with a different purpose, choosing of scale and drawing double bar graph are the topics covered in this exercise of NCERT Solutions for Class 7 Chapter 3. The bar graph is defined as the representation of numbers using bars of uniform width and the lengths of the bars depend upon the frequency and the scale that we have chosen. NCERT Solutions for Class 7 Chapter 3 can help students clear doubts quickly and help in learning the topics effectively.
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1. Use the bar graph (Fig 3.3) to answer the following questions.
(a) Which is the most popular pet? (b) How many students have dog as a pet?
Solution:-
The bar graph represents the pets owned by the students.
(a) From bar graph, the most popular pet is Cat. It is owned by the 10 students out of 12 students.
(b) From the bar graph, 8 students have dog as a pet out of 12 students.
2. Read the bar graph (Fig 3.4) which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:
(i) About how many books were sold in 1989? 1990? 1992?
(ii) In which year were about 475 books sold? About 225 books sold?
(iii) In which years were fewer than 250 books sold?
(iv) Can you explain how you would estimate the number of books sold in 1989?
Solution:-
(i) By observing bar graph,
175 books were sold in the year 1989.
475 books were sold in the year 1990.
225 books were sold in the year 1992.
(ii) By observing bar graph,
475 books were sold in the year 1990.
225 books were sold in the year 1992.
(iii) By observing bar graph,
In the years 1989 and 1992, the number of books sold were less than 250.
(iv) By observing the bar graph, we can conclude that,
The number of books sold in the year 1989 is about 1 and Â¾^{th} part of 1 cm.
WKT, Scale is taken as 1 cm = 100 books
= 100 + (Â¾ Ã— 100)
= 100 + (3 Ã— 25)
= 100 + 75
= 175
3. Number of children in six different classes are given below. Represent the data on a bar graph.
Class |
Fifth |
Sixth |
Seventh |
Eighth |
Ninth |
Tenth |
Number of Children |
135 |
120 |
95 |
100 |
90 |
80 |
(a) How would you choose a scale?
(b) Answer the following questions:
(i) Which class has the maximum number of children? And the minimum?
(ii) Find the ratio of students of class sixth to the students of class eight.
Solution:-
(a) We will take the scale as 1 unit = 10 children. Because, we can represent a better and clear difference among the number of students of class 7^{th} and class 9^{th}.
(b) (i) Class 5^{th} has the maximum number of children i.e. 135 and class 7^{th} has the minimum number of children i.e. 95.
(ii) The total number of students in class 6^{th} is 120 and the total number of students in class 8^{th} is 100
Then,
Ratio between the number of students of class 6^{th} and 8^{th},
= (120/100)
= 6/5
= 6: 5
4. The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:
Subject |
English |
Hindi |
Maths |
Science |
S. Science |
1^{st} Term (M.M. 100) |
67 |
72 |
88 |
81 |
73 |
2^{nd} Term (M.M. 100) |
70 |
65 |
95 |
85 |
75 |
(i) In which subject, has the child improved his performance the most?
(ii) In which subject is the improvement the least?
(iii) Has the performance gone down in any subject?
Solution:-
(i) By observing the double bar graph, there was a maximum marks increase in the Maths subject. So, the child has improved his performance in Maths.
(ii) By observing the double bar graph, the improvement was the least in S. Science.
(iii) By observing the double bar graph, the performance In Hindi has gone down.
5. Consider this data collected from a survey of a colony.
Favourite Sport |
Cricket |
Basket Ball |
swimming |
Hockey |
Athletics |
Watching |
1240 |
470 |
510 |
430 |
250 |
Participating |
620 |
320 |
320 |
250 |
105 |
(i) Draw a double bar graph choosing an appropriate scale.
What do you infer from the bar graph?
(ii) Which sport is most popular?
(iii) Which is more preferred, watching or participating in sports?
Solution:-
(i) The fig above is the double bar graph. Which represents the people who prefer either watching or participating in different sports. By observing the double bar graph, we came to conclude that most of the people like watching and participating cricket while least number of people like watching and participating in Athletics.
(ii) By observing the double bar graph, we came to conclude that the people who like watching and participating in cricket is the tallest among all the bars. So, cricket is the most popular sport.
(iii) By observing the double bar graph, we came to conclude that watching sports has more preference, rather than participating in sports.
6. Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter (Table 3.1). Plot a double bar graph using the data and answer the following:
(i) Which city has the largest difference in the minimum and maximum temperature on the given date?
(ii) Which is the hottest city and which is the coldest city?
(iii) Name two cities where maximum temperature of one was less than the minimum temperature of the other.
(iv) Name the city which has the least difference between its minimum and the maximum temperature.
Solution:-
(i) By observing the double bar graph, we came to conclude that Jammu has the largest difference in the minimum and maximum temperature on 20.6.2006.
(ii) By observing the double bar graph, we came to conclude that Jammu is the hottest city and Bangalore is the coldest city.
(iii) By observing the double bar graph, Bangalore and Jaipur, Bangalore and Ahmedabad. For Bangalore, the maximum temperature was 28^{o}C, while minimum temperature of both Ahmadabad and Jaipur was 29^{o}C.
(iv) By observing the double bar graph, Mumbai has the least difference between its minimum and the maximum temperature.