RS Aggarwal Solutions for Class 7 Maths Chapter 22 – Bar Graphs are provided here. To cover the entire syllabus in Maths, the RS Aggarwal is an essential material as it offers a wide range of questions that test the studentsâ€™ understanding of concepts. Our expert personnel have solved the problems step by step with neat explanations. Students who aspire to score good marks in Maths, then refer RS Aggarwal Class 7 Solutions.
Expert tutors at BYJUâ€™S have prepared the RS Aggarwal Solutions for Class 7 Maths Chapter 22, which contains all exercises. Students gain more knowledge by referring to RS Aggarwal Solutions. Download pdf of Class 7 Chapter 22 in their respective links.
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Exercise 22 Page: 276
1. The marks of a student in different subjects are given below.
Subject |
Hindi |
English |
Maths |
Science |
Social Science |
Marks |
43 |
56 |
80 |
65 |
50 |
Draw a bar graph from the above information.
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the names of the subjects at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 1 mark
1 big division = 10 marks
Step 4. Then, the heights of the various bars are:
Hindi = 4 big divisions and then 3 small divisions = 43 small divisions
English = 5 big divisions and then 6 small divisions = 56 small divisions
Maths = 8 big divisions = 80 small divisions
Science = 6 big divisions and 5 small divisions = 65 small divisions
Social Science = 5 big divisions = 50 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
2. The following table shows the favorite sports of 250 students of a school.
Represent the data by a bar graph.
Sports |
Cricket |
Football |
Tennis |
Badminton |
Swimming |
No. of Students |
75 |
35 |
50 |
25 |
65 |
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the names of the sports at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 1 student
1 big division = 10 students
Step 4. Then, the heights of the various bars are:
Cricket = 7 big divisions and then 5 small divisions = 75 small divisions
Â Football = 3 big divisions and then 5 small divisions = 35 small divisions
Â Tennis = 5 big divisions = 50 small divisions
Â Â Badminton = 2 big divisions and then 5 small divisions = 25 small divisions
Â Â Swimming = 6 big divisions and then 5 small divisions = 65 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
3. Given below is a table which shows the year wise strength of a school. Represent this data by a bar graph.
Year |
2011 – 12 |
2012 – 13 |
2013 – 14 |
2014 – 15 |
2015 -16 |
No. of Students |
800 |
975 |
1100 |
1400 |
1625 |
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the years at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 10 students
1 big division = 100 students
Step 4. Then, the heights of the various bars are:
2011-2012Â = 8 big divisions = 80 small divisions
Â Â Â Â 2012-2013Â = 9 big divisions and then 7.5 small divisions = 97.5 small divisions
Â Â Â Â 2013-2014Â = 11 big divisions = 110 small divisions
Â Â Â Â 2014-2015Â = 14 big divisions = 140 small divisions
Â Â Â Â 2015-2016Â = 16 big divisions and then 2.5 small divisions = 162.5 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
4. The following table shows the number of scooters produced by a company during six consecutive years. Draw a bar graph to represent this data.
Year |
2011 |
2012 |
2013 |
2014 |
2015 |
2016 |
No. of Scooters |
11000 |
14000 |
12500 |
17500 |
15000 |
24000 |
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the years at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 200 scooters
1 big division = 2000 scooters
Step 4. Then, the heights of the various bars are:
2011Â = 5 big divisions and then 5 small divisions = 55 small divisions
Â Â Â 2012 = 7 big divisions = 70 small divisions
Â Â Â 2013 = 6 big divisions and then 2.5 small divisions = 62.5 small divisions
Â Â Â 2014 = 8 big divisions and then 7.5 small divisions = 87.5 small divisions
Â Â Â 2015 = 7 big divisions and then 5 small divisions = 75 small divisions
Â Â Â 2016 = 12 big divisions = 120 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
5. The birth rate per thousand in five countries over a period of time is shown below.
Country |
China |
India |
Germany |
UK |
Sweden |
Birth rate per thousand |
42 |
35 |
14 |
28 |
21 |
Represent the above data by a bar graph.
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the names of the country at points taken at uniform gaps.
Step 3. Choose the scale: 2 small division = 1 unit
1 big division = 5 units
Step 4. Then, the heights of the various bars are:
China = 8 big divisions and then 4 small divisions = 84 small divisions
Â Â India = 7 big divisions = 70 small divisions
Â Â Germany = 2 big divisions and then 8 small divisions = 28 small divisions
Â Â U.K. = 5 big divisions and then 6 small divisions = 56 small divisions
Â Â Sweden = 4 big divisions and then 2 small divisions = 42 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
6. The following data shows Indiaâ€™s total population (in millions) from 1961 to 2011.
year |
1961 |
1971 |
1981 |
1991 |
2001 |
2011 |
Population (in millions) |
360 |
420 |
540 |
680 |
1020 |
1200 |
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the year at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 20 millions
1 big division = 200 millions
Step 4. Then, the heights of the various bars are:
1961 = 1 big divisions and then 8 small divisions = 18 small divisions
Â Â 1971 = 2 big divisions and then 1 small division = 21 small divisions
Â Â 1981 = 2 big divisions and then 7 small divisions = 27 small divisions
Â Â 1991 = 3 big divisions and then 4 small divisions = 34 small divisions
Â Â 2001 = 5 big divisions and then 1 small divisions = 51 small divisions
2011 = 6 big divisions = 60 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
7. The following table shows the interest paid by India (in thousand crore rupees) on external debts during the period 1998-99 to 2002-03. Represent the data by a bar graph.
year |
1998-99 |
1999-2000 |
2000-01 |
2001-02 |
2002-03 |
Interest (in thousand crore rupees) |
70 |
84 |
98 |
106 |
120 |
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the year at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 1 thousand crore rupees
1 big division = 10 thousand crore rupees
Step 4. Then, the heights of the various bars are:
1998âˆ’99 = 7 big divisions = 70 small divisions
Â Â 1999âˆ’2000 = 8 big divisions and then 4 small divisions = 84 small divisions
Â Â Â 2000âˆ’2001 = 9 big divisions and then 8 small divisions = 98 small divisions
Â Â Â 2001âˆ’2002 = 10 big divisions and then 6 small divisions = 106 small divisions
Â Â Â 2002âˆ’2003 = 12 big divisions = 120 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
8. The air distances of four cities from Delhi (in km) are given below.
City |
Kolkata |
Mumbai |
Chennai |
Hyderabad |
Distance from Delhi (in km) |
1340 |
1100 |
1700 |
1220 |
Draw a bar graph to represent the above data.
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the name of the cities at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 10 km
1 big division = 100 km
Step 4. Then, the heights of the various bars are:
Kolkata = 13 big divisions and then 4 small divisions = 134 small divisions
Â Â Â Mumbai = 11 big divisions = 110 small divisions
Â Â Â Chennai = 17 big divisions = 170 small divisions
Â Â Â Hyderabad = 12 big divisions and then 2 small divisions = 122 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
9. The following table shows the life expectancy (average age to which people live) in various countries in a particular year. Represent this data by a bar graph.
Country |
Japan |
India |
Britain |
Ethiopia |
Cambodia |
Life expectancy (in years) |
76 |
57 |
70 |
43 |
36 |
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the name of the countries at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 1 year
1 big division = 10 years
Step 4. Then, the heights of the various bars are:
Japan = 7 big divisions and then 6 small divisions = 76 small divisions
Â Â India = 5 big divisions and then 7 small divisions = 57 small divisions
Â Â Britain = 7 big divisions = 70 small divisions
Â Â Ethiopia = 4 big divisions and then 3 small divisions = 43 small divisions
Â Â Cambodia = 3 big divisions and then 6 small divisions = 36 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
10. The following table shows the imports (in thousand crore rupees) made by India over the last five years. Draw a bar graph to represent this data.
year |
2001-02 |
2002-03 |
2003-04 |
2004-05 |
2005-06 |
Imports (in thousand crore rupees) |
148 |
176 |
204 |
232 |
180 |
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the years at points taken at uniform gaps.
Step 3. Choose the scale: 1 small division = 2 thousand crore rupees
1 big division = 20 thousand crore rupees
Step 4. Then, the heights of the various bars are:
2001âˆ’02 = 7 big divisions and then 4 small divisions = 74 small divisions
Â Â Â 2002âˆ’03 = 8 big divisions and then 8 small divisions = 88 small divisions
Â Â Â 2003âˆ’04 = 10 big divisions and then 2 small divisions = 102 small divisions
Â Â Â 2004âˆ’05 = 11 big divisions and then 6 small divisions = 116 small divisions
Â Â Â 2005âˆ’06 = 9 big divisions = 90 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
11. The data given below shows the average rainfall in Udaipur from June to November of a certain year. Draw a bar graph to represent this information.
Month |
June |
July |
Aug. |
Sept. |
Oct. |
Nov |
Average rainfall |
25 cm |
30 cm |
40 cm |
20 cm |
10 cm |
5 cm |
Solution:-
We can draw the bar graph by following these steps:
Step 1. On a graph paper, draw a horizontal line OX and a vertical line OY. These two lines represents the x-axis and the y-axis respectively.
Step 2. Along OX, write the names of the months at points taken at uniform gaps.
Step 3. Choose the scale: 2 small division = 1 cm
1 big division = 5 cm
Step 4. Then, the heights of the various bars are:
June = 5 big divisions = 50 small divisions
Â Â July = 6 big divisions = 60 small divisions
Â Â August = 8 big divisions = 80 small divisions
Â Â September = 4 big divisions = 40 small divisions
Â Â October = 2 big divisions = 20 small divisions
Â Â November = 1 big division = 10 small divisions
Step 5. On the x-axis, draw bars of equal width and heights obtained in step 4 at the points marked in
Step 2.
The completed bar graph is shown below.
RS Aggarwal Solutions for Class 7 Maths Chapter 22 – Bar Graphs
Chapter 22 – Bar Graphs contains 1 exercise and the RS Aggarwal Solutions available on this page provide solutions to the questions present in the exercises. Now, let us have a look at some of the concepts discussed in this chapter.
- Reading of Bar Graphs
- Double Bar Graphs
Also, access RS Aggarwal Solutions for Class 7 Chapter 22 Exercises
Exercise 22
Chapter Brief of RS Aggarwal Solutions for Class 7 Maths Chapter 22 – Bar Graphs
RS Aggarwal Solutions for Class 7 Maths Chapter 22 – Bar Graphs. A bar graph is used to represent data visually using bars of different heights or length. Bar graphs take various forms depending on the type and complexity of the data they represent. The data is graphed either horizontally or vertically, to compare different values and draw conclusions quickly and easily. A bar graph will have a label, axis, scales and bars, which represent the measurable values such as amounts, ages and percentages etc.