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Graphical Representation of Statistical Data- 1 RD Sharma Solutions | Mathematics (Maths) Class 9 PDF Download

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 Page 1


Q u e s t i o n : 1
The following table shows the daily production of T. V. sets in an industry for 7 days of a week:
 
Day Mon Tue Wed Thurs Fri Sat Sun
Number of T.V. Sets 300 400 150 250 100 350 200
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 2
The following table shows the number of Maruti cars sold by five dealers in a particular month:
 
Dealer: Saya
Bagga
Links
D.D.
Motors
Bhasin
Motors
Competent
Cars sold: 60 40 20 15 10
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 3
Page 2


Q u e s t i o n : 1
The following table shows the daily production of T. V. sets in an industry for 7 days of a week:
 
Day Mon Tue Wed Thurs Fri Sat Sun
Number of T.V. Sets 300 400 150 250 100 350 200
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 2
The following table shows the number of Maruti cars sold by five dealers in a particular month:
 
Dealer: Saya
Bagga
Links
D.D.
Motors
Bhasin
Motors
Competent
Cars sold: 60 40 20 15 10
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 3
The population of Delhi State in different census years is as given below:
 
Census year 1961 1971 1981 1991 2001
Population in Lakhs 30 55 70 110 150
S o l u t i o n :
While drawing a bar graph, we keep in mind that
1. The width of the bars should be uniform throughout.
2. The gap between any two bars should be uniform throughout.
3. Bars may be either horizontal or vertical.
To represent the given data by a vertical bar graph, we first draw horizontal and vertical axes. Let us consider that
the horizontal and vertical axes represent the years and the population in lakhs respectively. We have to draw 5
bars of different heights given in the table.
At first we mark 5 points in the horizontal axis at equal distances and erect rectangles of the same width at these
points. The heights of the rectangles are proportional to the population in lakhs.
The vertical bar graph of the given data is following:
Note that each bar is of same width and the gap between them is uniform. Make sure that the width of the bars and
the gap between them should not be necessarily same.
Q u e s t i o n : 4
Read the bar graph shown in Fig. 23.8 and answer the following questions:
(i) What is the information given by the bar graph?
Page 3


Q u e s t i o n : 1
The following table shows the daily production of T. V. sets in an industry for 7 days of a week:
 
Day Mon Tue Wed Thurs Fri Sat Sun
Number of T.V. Sets 300 400 150 250 100 350 200
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 2
The following table shows the number of Maruti cars sold by five dealers in a particular month:
 
Dealer: Saya
Bagga
Links
D.D.
Motors
Bhasin
Motors
Competent
Cars sold: 60 40 20 15 10
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 3
The population of Delhi State in different census years is as given below:
 
Census year 1961 1971 1981 1991 2001
Population in Lakhs 30 55 70 110 150
S o l u t i o n :
While drawing a bar graph, we keep in mind that
1. The width of the bars should be uniform throughout.
2. The gap between any two bars should be uniform throughout.
3. Bars may be either horizontal or vertical.
To represent the given data by a vertical bar graph, we first draw horizontal and vertical axes. Let us consider that
the horizontal and vertical axes represent the years and the population in lakhs respectively. We have to draw 5
bars of different heights given in the table.
At first we mark 5 points in the horizontal axis at equal distances and erect rectangles of the same width at these
points. The heights of the rectangles are proportional to the population in lakhs.
The vertical bar graph of the given data is following:
Note that each bar is of same width and the gap between them is uniform. Make sure that the width of the bars and
the gap between them should not be necessarily same.
Q u e s t i o n : 4
Read the bar graph shown in Fig. 23.8 and answer the following questions:
(i) What is the information given by the bar graph?
(ii) How many tickets of Assam State Lottery were sold by the agent?
(iii) Of which state, were the maximum number of tickets sold?
(iv) State whether true or false.
(v) Of which state were the minimum number of tickets sold?
S o l u t i o n :
(1) The bar graph represents the number of tickets of different state lotteries sold by an agent on a day.
(2) The number of tickets of Assam State Lottery were sold by the agent is 40.
(3) The maximum numbers of tickets were sold is 100, in the state Haryana.
(4) The maximum number of tickets were sold is 100, in the state Haryana. The minimum number of tickets were
sold is 20, in the state Rajasthan. It is clear that 100 are equal to the 5 times of 20. Hence, the statement is false.
(5) The minimum numbers of tickets were sold is 20, in the state Rajasthan.
Q u e s t i o n : 5
Study the bar graph representing the number of persons in various age groups in a town shown in Fig. 23.9.
Observe the bar graph and answer the following questions:
(i) What is the percentage of the youngest age-group persons over those in the oldest age group?
(ii) What is the total population of the town?
(iii) What is the number of persons in the age-group 60-65?
(iv) How many persons are more in the age-group 10-15 than in the age group 30-35?
(v) What is the age-group of exactly 1200 persons living in the town?
(vi) What is the total number of persons living in the town in the age-group 50-55?
(vii) What is the total number of persons living in the town in the age-groups 10-15 and 60-65?
? (vii) Whether the population in general increases, decreases or remains constant with the increase in the age-
group.
 
Page 4


Q u e s t i o n : 1
The following table shows the daily production of T. V. sets in an industry for 7 days of a week:
 
Day Mon Tue Wed Thurs Fri Sat Sun
Number of T.V. Sets 300 400 150 250 100 350 200
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 2
The following table shows the number of Maruti cars sold by five dealers in a particular month:
 
Dealer: Saya
Bagga
Links
D.D.
Motors
Bhasin
Motors
Competent
Cars sold: 60 40 20 15 10
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 3
The population of Delhi State in different census years is as given below:
 
Census year 1961 1971 1981 1991 2001
Population in Lakhs 30 55 70 110 150
S o l u t i o n :
While drawing a bar graph, we keep in mind that
1. The width of the bars should be uniform throughout.
2. The gap between any two bars should be uniform throughout.
3. Bars may be either horizontal or vertical.
To represent the given data by a vertical bar graph, we first draw horizontal and vertical axes. Let us consider that
the horizontal and vertical axes represent the years and the population in lakhs respectively. We have to draw 5
bars of different heights given in the table.
At first we mark 5 points in the horizontal axis at equal distances and erect rectangles of the same width at these
points. The heights of the rectangles are proportional to the population in lakhs.
The vertical bar graph of the given data is following:
Note that each bar is of same width and the gap between them is uniform. Make sure that the width of the bars and
the gap between them should not be necessarily same.
Q u e s t i o n : 4
Read the bar graph shown in Fig. 23.8 and answer the following questions:
(i) What is the information given by the bar graph?
(ii) How many tickets of Assam State Lottery were sold by the agent?
(iii) Of which state, were the maximum number of tickets sold?
(iv) State whether true or false.
(v) Of which state were the minimum number of tickets sold?
S o l u t i o n :
(1) The bar graph represents the number of tickets of different state lotteries sold by an agent on a day.
(2) The number of tickets of Assam State Lottery were sold by the agent is 40.
(3) The maximum numbers of tickets were sold is 100, in the state Haryana.
(4) The maximum number of tickets were sold is 100, in the state Haryana. The minimum number of tickets were
sold is 20, in the state Rajasthan. It is clear that 100 are equal to the 5 times of 20. Hence, the statement is false.
(5) The minimum numbers of tickets were sold is 20, in the state Rajasthan.
Q u e s t i o n : 5
Study the bar graph representing the number of persons in various age groups in a town shown in Fig. 23.9.
Observe the bar graph and answer the following questions:
(i) What is the percentage of the youngest age-group persons over those in the oldest age group?
(ii) What is the total population of the town?
(iii) What is the number of persons in the age-group 60-65?
(iv) How many persons are more in the age-group 10-15 than in the age group 30-35?
(v) What is the age-group of exactly 1200 persons living in the town?
(vi) What is the total number of persons living in the town in the age-group 50-55?
(vii) What is the total number of persons living in the town in the age-groups 10-15 and 60-65?
? (vii) Whether the population in general increases, decreases or remains constant with the increase in the age-
group.
 
S o l u t i o n :
(1) The youngest age-group is 10-15 years. The number of persons belonging to this group is 1400. The oldest age-
group is 70-75 years. The number of persons belonging to this group is 300. The percentage of youngest age-group
persons over those in the oldest group is
(2) The population of the town is 
(3) The number of persons in the age group 60-65 is 800.
(4) The number of persons in the age group 10-15 is 1400 and the number of persons in the age group 30-35 is
1100. Hence the number of more persons in the age group 10-15 than the group 30-35 is 1400 – 1100
(5) The age group of 1200 persons living in the town is 20-25.
(6) The total number of persons living in the town in the age-group 50-55 is 900.
(7) The total number of persons living in the town in the age-groups 10-15 and 60-65 is 1400 + 800 
(8) It is shown from the bar graph that the height of the bars decreases as the age-group increases.
Hence, the population decreases with the increases in the age-group.
Q u e s t i o n : 6
Read the bar graph shown in Fig. 23.10 and answer the following questions:
(i) What is the information given by the bar graph?
(ii) What was the number of commercial banks in 1977?
(iii) What is the ratio of the number of commercial banks in 1969 to that in 1980?
(iv) State whether true or false:
The number of commercial banks in 1983 is less than double the number of commercial banks in 1969.
Page 5


Q u e s t i o n : 1
The following table shows the daily production of T. V. sets in an industry for 7 days of a week:
 
Day Mon Tue Wed Thurs Fri Sat Sun
Number of T.V. Sets 300 400 150 250 100 350 200
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 2
The following table shows the number of Maruti cars sold by five dealers in a particular month:
 
Dealer: Saya
Bagga
Links
D.D.
Motors
Bhasin
Motors
Competent
Cars sold: 60 40 20 15 10
Represent the above information by a pictograph.
S o l u t i o n :
The given information can be represented using a pictograph in the following manner:
Q u e s t i o n : 3
The population of Delhi State in different census years is as given below:
 
Census year 1961 1971 1981 1991 2001
Population in Lakhs 30 55 70 110 150
S o l u t i o n :
While drawing a bar graph, we keep in mind that
1. The width of the bars should be uniform throughout.
2. The gap between any two bars should be uniform throughout.
3. Bars may be either horizontal or vertical.
To represent the given data by a vertical bar graph, we first draw horizontal and vertical axes. Let us consider that
the horizontal and vertical axes represent the years and the population in lakhs respectively. We have to draw 5
bars of different heights given in the table.
At first we mark 5 points in the horizontal axis at equal distances and erect rectangles of the same width at these
points. The heights of the rectangles are proportional to the population in lakhs.
The vertical bar graph of the given data is following:
Note that each bar is of same width and the gap between them is uniform. Make sure that the width of the bars and
the gap between them should not be necessarily same.
Q u e s t i o n : 4
Read the bar graph shown in Fig. 23.8 and answer the following questions:
(i) What is the information given by the bar graph?
(ii) How many tickets of Assam State Lottery were sold by the agent?
(iii) Of which state, were the maximum number of tickets sold?
(iv) State whether true or false.
(v) Of which state were the minimum number of tickets sold?
S o l u t i o n :
(1) The bar graph represents the number of tickets of different state lotteries sold by an agent on a day.
(2) The number of tickets of Assam State Lottery were sold by the agent is 40.
(3) The maximum numbers of tickets were sold is 100, in the state Haryana.
(4) The maximum number of tickets were sold is 100, in the state Haryana. The minimum number of tickets were
sold is 20, in the state Rajasthan. It is clear that 100 are equal to the 5 times of 20. Hence, the statement is false.
(5) The minimum numbers of tickets were sold is 20, in the state Rajasthan.
Q u e s t i o n : 5
Study the bar graph representing the number of persons in various age groups in a town shown in Fig. 23.9.
Observe the bar graph and answer the following questions:
(i) What is the percentage of the youngest age-group persons over those in the oldest age group?
(ii) What is the total population of the town?
(iii) What is the number of persons in the age-group 60-65?
(iv) How many persons are more in the age-group 10-15 than in the age group 30-35?
(v) What is the age-group of exactly 1200 persons living in the town?
(vi) What is the total number of persons living in the town in the age-group 50-55?
(vii) What is the total number of persons living in the town in the age-groups 10-15 and 60-65?
? (vii) Whether the population in general increases, decreases or remains constant with the increase in the age-
group.
 
S o l u t i o n :
(1) The youngest age-group is 10-15 years. The number of persons belonging to this group is 1400. The oldest age-
group is 70-75 years. The number of persons belonging to this group is 300. The percentage of youngest age-group
persons over those in the oldest group is
(2) The population of the town is 
(3) The number of persons in the age group 60-65 is 800.
(4) The number of persons in the age group 10-15 is 1400 and the number of persons in the age group 30-35 is
1100. Hence the number of more persons in the age group 10-15 than the group 30-35 is 1400 – 1100
(5) The age group of 1200 persons living in the town is 20-25.
(6) The total number of persons living in the town in the age-group 50-55 is 900.
(7) The total number of persons living in the town in the age-groups 10-15 and 60-65 is 1400 + 800 
(8) It is shown from the bar graph that the height of the bars decreases as the age-group increases.
Hence, the population decreases with the increases in the age-group.
Q u e s t i o n : 6
Read the bar graph shown in Fig. 23.10 and answer the following questions:
(i) What is the information given by the bar graph?
(ii) What was the number of commercial banks in 1977?
(iii) What is the ratio of the number of commercial banks in 1969 to that in 1980?
(iv) State whether true or false:
The number of commercial banks in 1983 is less than double the number of commercial banks in 1969.
S o l u t i o n :
(1) The bar graph represents the number of commercial banks in India during some particular years.
(2) The number of commercial banks in 1977 was
(3) The number of commercial banks in 1969 was
The number of commercial banks in 1980 was
Hence, the required ratio is
(4) The number of commercial banks in 1983 was
The number of commercial banks in 1969 was 90. When we multiply this number by 2, it becomes
Clearly, 230 is not less than 180.
Hence the statement is false.
Q u e s t i o n : 7
Given below (Fig. 23.11) is the bar graphic indicating the marks obtained out of 50 in mathematics paper by 100
students. Read the bar graph and answer the following questions.
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Document Description: RD Sharma Solutions: Graphical Representation of Statistical Data- 1 for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation. The notes and questions for RD Sharma Solutions: Graphical Representation of Statistical Data- 1 have been prepared according to the Class 9 exam syllabus. Information about RD Sharma Solutions: Graphical Representation of Statistical Data- 1 covers topics like and RD Sharma Solutions: Graphical Representation of Statistical Data- 1 Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Solutions: Graphical Representation of Statistical Data- 1.
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