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Page 1
Q u e s t i o n : 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.
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the subjects at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 marks
1 small division = 1 mark
Step 4.- Heights of the various bars are:
Hindi = 43 small divisions = 4 big divisions and 3 small divisions
English = 56 small divisions = 5 big divisions and 6 small divisions
Maths = 80 small divisions = 8 big divisions
Science = 65 small divisions = 6 big divisions and 5 small divisions
Social Science = 50 small divisions = 5 big divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 2
The following table shows the favourite sports of 250 students of a school.
Represent the data by a bar graph.
Sports Cricket Football Tennis Badminton Swimming
Page 2
Q u e s t i o n : 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.
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the subjects at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 marks
1 small division = 1 mark
Step 4.- Heights of the various bars are:
Hindi = 43 small divisions = 4 big divisions and 3 small divisions
English = 56 small divisions = 5 big divisions and 6 small divisions
Maths = 80 small divisions = 8 big divisions
Science = 65 small divisions = 6 big divisions and 5 small divisions
Social Science = 50 small divisions = 5 big divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 2
The following table shows the favourite 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
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the sports at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 students
1 small division = 1 student
Step 4.- Heights of the various bars:
Cricket = 75 small divisions = 7 big divisions and 5 small divisions
Football = 35 small divisions = 3 big divisions and 5 small divisions
Tennis = 50 small divisions = 5 big divisions
Badminton = 25 small divisions = 2 big divisions and 5 small divisions
Swimming = 65 small divisions = 6 big divisions and 5 small divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 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
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the years at the points that are taken at a uniform gap.
Page 3
Q u e s t i o n : 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.
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the subjects at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 marks
1 small division = 1 mark
Step 4.- Heights of the various bars are:
Hindi = 43 small divisions = 4 big divisions and 3 small divisions
English = 56 small divisions = 5 big divisions and 6 small divisions
Maths = 80 small divisions = 8 big divisions
Science = 65 small divisions = 6 big divisions and 5 small divisions
Social Science = 50 small divisions = 5 big divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 2
The following table shows the favourite 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
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the sports at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 students
1 small division = 1 student
Step 4.- Heights of the various bars:
Cricket = 75 small divisions = 7 big divisions and 5 small divisions
Football = 35 small divisions = 3 big divisions and 5 small divisions
Tennis = 50 small divisions = 5 big divisions
Badminton = 25 small divisions = 2 big divisions and 5 small divisions
Swimming = 65 small divisions = 6 big divisions and 5 small divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 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
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the years at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 100 students
1 small division = 10 student
Step 4.- Heights of the various bars:
2011-2012 = 80 small divisions = 8 big divisions
2012-2013 = 97.5 small divisions = 9 big divisions and 7.5 small divisions
2013-2014 = 110 small divisions = 11 big divisions
2014-2015 = 140 small divisions = 14 big divisions
2015-2016 = 162.5 small divisions = 16 big divisions and 2.5 small divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
We get the following bar graph:
Q u e s t i o n : 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
S o l u t i o n :
We can draw the bar graph by following the given steps:-
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the years at the points that are taken at a uniform gap.
Page 4
Q u e s t i o n : 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.
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the subjects at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 marks
1 small division = 1 mark
Step 4.- Heights of the various bars are:
Hindi = 43 small divisions = 4 big divisions and 3 small divisions
English = 56 small divisions = 5 big divisions and 6 small divisions
Maths = 80 small divisions = 8 big divisions
Science = 65 small divisions = 6 big divisions and 5 small divisions
Social Science = 50 small divisions = 5 big divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 2
The following table shows the favourite 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
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the sports at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 students
1 small division = 1 student
Step 4.- Heights of the various bars:
Cricket = 75 small divisions = 7 big divisions and 5 small divisions
Football = 35 small divisions = 3 big divisions and 5 small divisions
Tennis = 50 small divisions = 5 big divisions
Badminton = 25 small divisions = 2 big divisions and 5 small divisions
Swimming = 65 small divisions = 6 big divisions and 5 small divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 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
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the years at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 100 students
1 small division = 10 student
Step 4.- Heights of the various bars:
2011-2012 = 80 small divisions = 8 big divisions
2012-2013 = 97.5 small divisions = 9 big divisions and 7.5 small divisions
2013-2014 = 110 small divisions = 11 big divisions
2014-2015 = 140 small divisions = 14 big divisions
2015-2016 = 162.5 small divisions = 16 big divisions and 2.5 small divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
We get the following bar graph:
Q u e s t i o n : 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
S o l u t i o n :
We can draw the bar graph by following the given steps:-
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the years at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 2000 scooters
1 small division = 200 scooters
Step 4.- Heights of the various bars:
2011 = 55 small divisions = 5 big divisions and 5 small divisions
2012 = 70 small divisions = 7 big divisions
2013 = 62.5 small divisions = 6 big divisions 2.5 small divisions
2014 = 87.5 small divisions = 8 big divisions and 7.5 small divisions
2015 = 75 small divisions = 7 big divisions and 5 small divisions
2016 = 120 small divisions = 12 big divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
We get the following bar graph:
Q u e s t i o n : 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.
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the countries at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 5 unit
2 small division = 1 unit
Page 5
Q u e s t i o n : 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.
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the subjects at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 marks
1 small division = 1 mark
Step 4.- Heights of the various bars are:
Hindi = 43 small divisions = 4 big divisions and 3 small divisions
English = 56 small divisions = 5 big divisions and 6 small divisions
Maths = 80 small divisions = 8 big divisions
Science = 65 small divisions = 6 big divisions and 5 small divisions
Social Science = 50 small divisions = 5 big divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 2
The following table shows the favourite 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
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the sports at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 10 students
1 small division = 1 student
Step 4.- Heights of the various bars:
Cricket = 75 small divisions = 7 big divisions and 5 small divisions
Football = 35 small divisions = 3 big divisions and 5 small divisions
Tennis = 50 small divisions = 5 big divisions
Badminton = 25 small divisions = 2 big divisions and 5 small divisions
Swimming = 65 small divisions = 6 big divisions and 5 small divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
Q u e s t i o n : 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
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the years at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 100 students
1 small division = 10 student
Step 4.- Heights of the various bars:
2011-2012 = 80 small divisions = 8 big divisions
2012-2013 = 97.5 small divisions = 9 big divisions and 7.5 small divisions
2013-2014 = 110 small divisions = 11 big divisions
2014-2015 = 140 small divisions = 14 big divisions
2015-2016 = 162.5 small divisions = 16 big divisions and 2.5 small divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
We get the following bar graph:
Q u e s t i o n : 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
S o l u t i o n :
We can draw the bar graph by following the given steps:-
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the years at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 2000 scooters
1 small division = 200 scooters
Step 4.- Heights of the various bars:
2011 = 55 small divisions = 5 big divisions and 5 small divisions
2012 = 70 small divisions = 7 big divisions
2013 = 62.5 small divisions = 6 big divisions 2.5 small divisions
2014 = 87.5 small divisions = 8 big divisions and 7.5 small divisions
2015 = 75 small divisions = 7 big divisions and 5 small divisions
2016 = 120 small divisions = 12 big divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
We get the following bar graph:
Q u e s t i o n : 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.
S o l u t i o n :
We can draw the bar graph by following the given steps:
Step 1.- On a graph paper, draw a horizontal line OX as x-axis and vertical line OY as y-axis.
Step 2.- Along OX, write the names of the countries at the points that are taken at a uniform gap.
Step 3.- Choose the scale:
1 big division = 5 unit
2 small division = 1 unit
Step 4.- Heights of the various bars:
China = 84 small divisions = 8 big divisions and 4 small divisions
India = 70 small divisions = 7 big divisions
Germany = 28 small divisions = 2 big divisions and 8 small divisions
U.K. = 56 small divisions = 5 big divisions and 6 small divisions
Sweden = 42 small divisions = 4 big divisions and 2 small divisions
Step 5.- Draw bars of equal width on the x-axis. The difference between the two bars should also be the same.
We get the following bar graph:
Q u e s t i o n : 6
The following data shows India's total population inmillions
from 1961 to 2011.
Year 1961 1971 1981 1991 2001 2011
Population inmillions 360 420 540 680 1020 1200
S o l u t i o n :
The graph obtained is as follows:
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These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
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RS Aggarwal Solutions: Bar Graphs Notes
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