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Maths 5 Mark Question

Data Handling III (Constructions of Bar Graphs) · Maharashtra Board STD 7 (MSBSHSE - Semi English Medium). 13 questions.

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13 questions · self-marked practice — reveal the answer and mark yourself.

Question 15 Marks
Consider the following data gathered from a survey of a colony:
Favorite 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?
  1. Which sport is most popular?
  2. What is more preferred watching or participating in sports?
Answer

Mark the horizontal axis OX as “Favourite Sports” and the vertical axis OY as “Number of People”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 2 big divisions to represent 400 people.
  1. Cricket is the most popular sport.
  2. Watching is preferred over participation.
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Question 25 Marks
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
  1. Which class has the maximum number of children?
  2. Which class has the minimum number of children?
How do you choose the scale?
Answer

Mark the horizontal axis OX as “Class” and the vertical axis OY as “Number of Children”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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.
  1. We choose 1 big to represent 40 children.
  2. The maximum numbers of students are in class V.
  3. The minimum number of students are in class X.
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Question 35 Marks
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
1st term
67
72
88
81
73
2nd term
70
65
95
85
75
  1. In which subject, has the children improved their performance the most?
  2. Has the performance gone down in any subject?
Answer

We choose 1 small division to represent 1 child in the graph.
Mark the horizontal axis OX as “Subject” and the vertical axis OY as “Marks”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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.
  1. In Maths, the students showed their greatest improvement.
  2. The students performed worst in Hindi.
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Question 45 Marks
The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years:
Year 1992 1993 1994 1995 1996 1997
Manure (in thousand tonnes) 15 35 45 30 40 20
Represent the above data with the help of a bar graph.
  1. Indicate with the help of the bar graph the year in which the amount of manure manufactured by the company was maximum.
  2. Choose the correct alternative:
The consecutive years during which there was maximum decrease in manure production are:
  1. 1994 and 1995
  2. 1996 and 1997
  3. 1992 and 1993
  4. 1995 and 1996
Answer

Mark the horizontal axis OX as “Years” and the vertical axis OY as “Production of food grains (in thousand tonnes)”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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 20 thousand tonnes.
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Question 55 Marks
Following data gives total marks (out of 600) obtained by six children of a particular class.
Students:
Ajay
Bali
Dipti
Faiyaz
Gotika
Hari
Marks Obtained:
450
500
300
360
400
540
Represent the data by a bar graph.
Answer

Mark the horizontal axis OX as “Name of the Students” and the vertical axis OY as “Marks Obtained”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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.
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Question 65 Marks
The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:
Year
1992
1993
1994
1995
1996
Loan (in crores of rupees)
28
33
55
55
80
  1. Represent the above data with the help of a bar graph.
  2. With the help of the bar graph, indicate the year in which amount of loan is not increased Over that of the preceding year.
Answer

Mark the horizontal axis OX as “Years” and the vertical axis OY as “Loan (in crores of rupees)”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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 crores of rupees.
In 1995, the loan amount was not increased over that of the preceding year.
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Question 75 Marks
The production of saleable steel in some of the steel plants of our country during 1999 is given below:
Plant
Bhilai
Durgapur
Rourkela
Bokaro
Production(in thousand tonnes)
160
80
200
150
Construct a bar graph to represent the above data on a graph paper by using the scale 1 big division=20 thousand tonnes.
Answer

Mark the horizontal axis OX as “Name of the Steel Plant” and the vertical axis OY as Production (in thousand tonnes)”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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 20 thousand tonnes.
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Question 85 Marks
The following data shows the average age of men in various countries in a certain year:
Country
India
Nepal
China
Pakistan
U.K
U.S.A
Average age(in years)
55
52
60
50
70
75
Represent the above information by a bar graph.
Answer

Mark the horizontal axis OX as “Countries” and the vertical axis OY as “Average Age of men (in years)”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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 year.
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Question 95 Marks
The following table shows the interest paid by a company (in lakhs):
Year
1995-96
1996-97
1997-98
1998-99
1999-2000
Interest (in lakhs of rupees)
20
25
15
18
30
Draw the bar graph to represent the above information.
Answer

Mark the horizontal axis OX as “Years” and the vertical axis OY as “Interest (in lakhs of rupees)”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big divisions to represent 5 lakhs rupees.
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Question 105 Marks
The following data gives the number (in thousands) of applicants registered with an Employment Exchange during, 1995-2000:
Year 1995 1996 1997 1998 1999 2000
Number of applicants(in thousands) 18 20 24 28 30 34
Construct a bar graph to represent the above data.
Answer

Mark the horizontal axis OX as “Years” and the vertical axis OY as “Number of Applicants Registered (in thousands)”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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 4 thousand applicants.
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Question 115 Marks
The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:
Year
1960-61
1970-71
1980-81
1990-91
2000-2001
Route length (in thousand kilometers)
56
60
61
74
98
Represent the above data with the help of a bar graph.
Answer

Mark the horizontal axis OX as “Years” and the vertical axis OY as “Route Length (in thousand kilometres)”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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 1000Km.
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Question 125 Marks
The following data gives the production of food grains (in thousand tonnes) for some years:
Year
1995
1996
1997
1998
1999
2000
Production(in thousand tones)
120
150
140
180
170
190
Represent the above data with the help of a bar graph.
Answer

Mark the horizontal axis OX as “Years” and the vertical axis OY as “Production of food grains (in thousand tonnes)”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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 20 thousand tonnes.
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Question 135 Marks
Two hundred students of class VI and VII were asked to name their favourite 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.
  1. Which is the most preferred colour and which is the least?
  2. How many colours are there in all?
Answer

Mark the horizontal axis OX as “Name of the Colour” and the vertical axis OY as “Number Of Students”.
Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.
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.
  1. The most preferred colour is blue and the least preferred is green.
  2. In all, there are 5 colours.
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