Data Handling III (Constructions of Bar Graphs) RD Sharma Solutions | Mathematics (Maths) Class 7 PDF Download

 Page 1


 
 
 
 
 
  
 
         
 
1. Two hundred students of class VI and VII were asked to name their favorite colours 
so as to decide upon what should be the colour of their school house. The results are 
shown in the following table. 
Colour: Red Green Blue Yellow Orange 
Number of 
Students 
43 19 55 49 34 
Represent the given data on a bar graph. 
(i) Which is the most preferred colour and which is the least? 
(ii) How many colours are there in all? 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Colour and the vertical axis OY as Number 
of Students. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 10 students. 
Page 2


 
 
 
 
 
  
 
         
 
1. Two hundred students of class VI and VII were asked to name their favorite colours 
so as to decide upon what should be the colour of their school house. The results are 
shown in the following table. 
Colour: Red Green Blue Yellow Orange 
Number of 
Students 
43 19 55 49 34 
Represent the given data on a bar graph. 
(i) Which is the most preferred colour and which is the least? 
(ii) How many colours are there in all? 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Colour and the vertical axis OY as Number 
of Students. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 10 students. 
 
 
 
 
 
  
 
 
(i) The most preferred colour is blue and the least preferred is green. 
 
(ii) In all, there are 5 colours. 
 
2. Following data gives total marks (out of 600) obtained by six children of a particular 
class. 
Student Ajay Bali Dipti Faiyaz Gotika Hari 
Marks Obtained 450 500 300 360 400 540 
Represent the data by a bar graph 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Students and the vertical axis OY as Marks 
Obtained. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 100 marks. 
 
Page 3


 
 
 
 
 
  
 
         
 
1. Two hundred students of class VI and VII were asked to name their favorite colours 
so as to decide upon what should be the colour of their school house. The results are 
shown in the following table. 
Colour: Red Green Blue Yellow Orange 
Number of 
Students 
43 19 55 49 34 
Represent the given data on a bar graph. 
(i) Which is the most preferred colour and which is the least? 
(ii) How many colours are there in all? 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Colour and the vertical axis OY as Number 
of Students. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 10 students. 
 
 
 
 
 
  
 
 
(i) The most preferred colour is blue and the least preferred is green. 
 
(ii) In all, there are 5 colours. 
 
2. Following data gives total marks (out of 600) obtained by six children of a particular 
class. 
Student Ajay Bali Dipti Faiyaz Gotika Hari 
Marks Obtained 450 500 300 360 400 540 
Represent the data by a bar graph 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Students and the vertical axis OY as Marks 
Obtained. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 100 marks. 
 
 
 
 
 
 
  
 
3. Number of children in six different classes are given below. Represent the data on a 
bar graph. 
Class: V VI VII VIII IX X 
Number of 
Children: 
135 120 95 100 90 80 
(i) How do you choose the scale. 
(ii) Which class has the maximum number of children? 
(iii) Which class has the minimum number of children? 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Class and the vertical axis OY as Number of Children. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 big division to represent 40 children. 
 
(i) We choose 1 big to represent 40 children. 
Page 4


 
 
 
 
 
  
 
         
 
1. Two hundred students of class VI and VII were asked to name their favorite colours 
so as to decide upon what should be the colour of their school house. The results are 
shown in the following table. 
Colour: Red Green Blue Yellow Orange 
Number of 
Students 
43 19 55 49 34 
Represent the given data on a bar graph. 
(i) Which is the most preferred colour and which is the least? 
(ii) How many colours are there in all? 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Colour and the vertical axis OY as Number 
of Students. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 10 students. 
 
 
 
 
 
  
 
 
(i) The most preferred colour is blue and the least preferred is green. 
 
(ii) In all, there are 5 colours. 
 
2. Following data gives total marks (out of 600) obtained by six children of a particular 
class. 
Student Ajay Bali Dipti Faiyaz Gotika Hari 
Marks Obtained 450 500 300 360 400 540 
Represent the data by a bar graph 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Students and the vertical axis OY as Marks 
Obtained. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 100 marks. 
 
 
 
 
 
 
  
 
3. Number of children in six different classes are given below. Represent the data on a 
bar graph. 
Class: V VI VII VIII IX X 
Number of 
Children: 
135 120 95 100 90 80 
(i) How do you choose the scale. 
(ii) Which class has the maximum number of children? 
(iii) Which class has the minimum number of children? 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Class and the vertical axis OY as Number of Children. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 big division to represent 40 children. 
 
(i) We choose 1 big to represent 40 children. 
 
 
 
 
 
  
 
 
(ii)The maximum numbers of students are in class V. 
 
(iii) The minimum number of students are in class X. 
 
4. The performance of students in 1st term and 2nd term is as given below. Draw a 
double bar graph choosing appropriate scale and answer the following: 
Subject: English Hindi Maths Science S.Science 
1
st
 term: 67 72 88 81 73 
2
nd 
term: 70 65 95 85 75 
(i) In which subject, has the children improved their performance the most? 
(ii) Has the performance gone down in any subject? 
 
Solution: 
 
Page 5


 
 
 
 
 
  
 
         
 
1. Two hundred students of class VI and VII were asked to name their favorite colours 
so as to decide upon what should be the colour of their school house. The results are 
shown in the following table. 
Colour: Red Green Blue Yellow Orange 
Number of 
Students 
43 19 55 49 34 
Represent the given data on a bar graph. 
(i) Which is the most preferred colour and which is the least? 
(ii) How many colours are there in all? 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Colour and the vertical axis OY as Number 
of Students. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 10 students. 
 
 
 
 
 
  
 
 
(i) The most preferred colour is blue and the least preferred is green. 
 
(ii) In all, there are 5 colours. 
 
2. Following data gives total marks (out of 600) obtained by six children of a particular 
class. 
Student Ajay Bali Dipti Faiyaz Gotika Hari 
Marks Obtained 450 500 300 360 400 540 
Represent the data by a bar graph 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Name of the Students and the vertical axis OY as Marks 
Obtained. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 small division to represent 100 marks. 
 
 
 
 
 
 
  
 
3. Number of children in six different classes are given below. Represent the data on a 
bar graph. 
Class: V VI VII VIII IX X 
Number of 
Children: 
135 120 95 100 90 80 
(i) How do you choose the scale. 
(ii) Which class has the maximum number of children? 
(iii) Which class has the minimum number of children? 
 
Solution: 
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Class and the vertical axis OY as Number of Children. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 big division to represent 40 children. 
 
(i) We choose 1 big to represent 40 children. 
 
 
 
 
 
  
 
 
(ii)The maximum numbers of students are in class V. 
 
(iii) The minimum number of students are in class X. 
 
4. The performance of students in 1st term and 2nd term is as given below. Draw a 
double bar graph choosing appropriate scale and answer the following: 
Subject: English Hindi Maths Science S.Science 
1
st
 term: 67 72 88 81 73 
2
nd 
term: 70 65 95 85 75 
(i) In which subject, has the children improved their performance the most? 
(ii) Has the performance gone down in any subject? 
 
Solution: 
 
 
 
 
 
 
  
 
Steps of constructing bar graph: 
1. Mark the horizontal axis OX as Subject and the vertical axis is OY as Marks. 
2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform 
gap between them. 
3. Choose a suitable scale to determine the heights of the bars, according to the space 
available for the graph. Here, we choose 1 big division to represent 10 marks. 
 
(i) In Maths, the students showed their greatest improvement. 
 
(ii) The students performed worst in Hindi 
 
5. Consider the following data gathered from a survey of a colony: 
Favourite Sport: Cricket Basket - 
Ball 
Swimming Hockey Athletics 
Watching 1240 470 510 423 250 
Participating 620 320 320 250 105 
Draw a double bar graph choosing an appropriate scale. What do you infer from the 
bar graph? 
(i) Which sport is most popular? 
(ii) What is more preferred watching or participating in sports? 
 
Solution: