RS Aggarwal Solutions for Class 7 Maths Chapter 22 Bar Graphs

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 students’ 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 BYJU’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.

Download PDF of RS Aggarwal Solutions for Class 7 Maths Chapter 22 – Bar Graphs

 

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Access answer to chapter 22 – Bar Graphs

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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 1

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

  Football = 3 big divisions and then 5 small divisions = 35 small divisions

  Tennis = 5 big divisions = 50 small divisions

   Badminton = 2 big divisions and then 5 small divisions = 25 small divisions

   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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 2

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:

2011-2012 = 8 big divisions = 80 small divisions

     2012-2013 = 9 big divisions and then 7.5 small divisions = 97.5 small divisions

     2013-2014 = 11 big divisions = 110 small divisions

     2014-2015 = 14 big divisions = 140 small divisions

     2015-2016 = 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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 3

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:

2011 = 5 big divisions and then 5 small divisions = 55 small divisions

    2012 = 7 big divisions = 70 small divisions

    2013 = 6 big divisions and then 2.5 small divisions = 62.5 small divisions

    2014 = 8 big divisions and then 7.5 small divisions = 87.5 small divisions

    2015 = 7 big divisions and then 5 small divisions = 75 small divisions

    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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 4

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

   India = 7 big divisions = 70 small divisions

   Germany = 2 big divisions and then 8 small divisions = 28 small divisions

   U.K. = 5 big divisions and then 6 small divisions = 56 small divisions

   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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 5

6. The following data shows India’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

   1971 = 2 big divisions and then 1 small division = 21 small divisions

   1981 = 2 big divisions and then 7 small divisions = 27 small divisions

   1991 = 3 big divisions and then 4 small divisions = 34 small divisions

   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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 6

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:

1998−99 = 7 big divisions = 70 small divisions

   1999−2000 = 8 big divisions and then 4 small divisions = 84 small divisions

    2000−2001 = 9 big divisions and then 8 small divisions = 98 small divisions

    2001−2002 = 10 big divisions and then 6 small divisions = 106 small divisions

    2002−2003 = 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. RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 7

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

    Mumbai = 11 big divisions = 110 small divisions

    Chennai = 17 big divisions = 170 small divisions

    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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 8

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

   India = 5 big divisions and then 7 small divisions = 57 small divisions

   Britain = 7 big divisions = 70 small divisions

   Ethiopia = 4 big divisions and then 3 small divisions = 43 small divisions

   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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 9

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:

2001−02 = 7 big divisions and then 4 small divisions = 74 small divisions

    2002−03 = 8 big divisions and then 8 small divisions = 88 small divisions

    2003−04 = 10 big divisions and then 2 small divisions = 102 small divisions

    2004−05 = 11 big divisions and then 6 small divisions = 116 small divisions

    2005−06 = 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.

RS Aggarwal Solutions for Class 7 Maths chapter 22 Bar Graphs Image 10

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

   July = 6 big divisions = 60 small divisions

   August = 8 big divisions = 80 small divisions

   September = 4 big divisions = 40 small divisions

   October = 2 big divisions = 20 small divisions

   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 Image 11


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.