Data Handling – III (Bar Graphs Exercise 23.1) RD Sharma Solutions | Mathematics (Maths) Class 6 PDF Download

 Page 1


 
 
 
 
 
  
                                                                              
1. The following table shows the daily production of T.V. sets in an industry for 7 days of a week: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that a TV icon represents 50 TVs. 
So the number of icons produced by the industry on various days of a week are given below: 
 
 
Below given is the pictograph which represents the above data: 
 
 
 
2. The following table shows the number of Maruti cars sold by five dealers in a particular month: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that one car icon represents 5 Maruti cars. 
So the number of icons sold by the 5 dealers in a particular month are as given below: 
Page 2


 
 
 
 
 
  
                                                                              
1. The following table shows the daily production of T.V. sets in an industry for 7 days of a week: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that a TV icon represents 50 TVs. 
So the number of icons produced by the industry on various days of a week are given below: 
 
 
Below given is the pictograph which represents the above data: 
 
 
 
2. The following table shows the number of Maruti cars sold by five dealers in a particular month: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that one car icon represents 5 Maruti cars. 
So the number of icons sold by the 5 dealers in a particular month are as given below: 
 
 
 
 
 
  
 
 
Below given is the pictograph which represents the above data: 
 
 
 
3. The population of Delhi State in different census years is as given below: 
 
 
 
Represent the above information with the help of a bar graph. 
Solution: 
 
In order to represent the data on a bar graph, we should construct a horizontal and a vertical line. We know that 
the horizontal line represents the census year and the vertical line represents the population in lakhs. 
Here 5 values are given so mark 5 points on the horizontal axis having equal distances and erect rectangles having 
same width and heights proportional to the given data. 
The same way, on vertical axis, difference between two points is 10 which represents a population of 10 lakhs. 
Page 3


 
 
 
 
 
  
                                                                              
1. The following table shows the daily production of T.V. sets in an industry for 7 days of a week: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that a TV icon represents 50 TVs. 
So the number of icons produced by the industry on various days of a week are given below: 
 
 
Below given is the pictograph which represents the above data: 
 
 
 
2. The following table shows the number of Maruti cars sold by five dealers in a particular month: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that one car icon represents 5 Maruti cars. 
So the number of icons sold by the 5 dealers in a particular month are as given below: 
 
 
 
 
 
  
 
 
Below given is the pictograph which represents the above data: 
 
 
 
3. The population of Delhi State in different census years is as given below: 
 
 
 
Represent the above information with the help of a bar graph. 
Solution: 
 
In order to represent the data on a bar graph, we should construct a horizontal and a vertical line. We know that 
the horizontal line represents the census year and the vertical line represents the population in lakhs. 
Here 5 values are given so mark 5 points on the horizontal axis having equal distances and erect rectangles having 
same width and heights proportional to the given data. 
The same way, on vertical axis, difference between two points is 10 which represents a population of 10 lakhs. 
 
 
 
 
 
  
 
 
4. Read the bar graph show 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. 
The maximum number of tickets sold is three times the minimum number of tickets sold. 
(v) Of which state were the minimum number of tickets sold? 
Solution: 
 
(i) The bar graph represents the number of tickets of different state lotteries sold by an agent on a day. 
 
(ii) 40 tickets of Assam State Lottery were sold by the agent. 
Page 4


 
 
 
 
 
  
                                                                              
1. The following table shows the daily production of T.V. sets in an industry for 7 days of a week: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that a TV icon represents 50 TVs. 
So the number of icons produced by the industry on various days of a week are given below: 
 
 
Below given is the pictograph which represents the above data: 
 
 
 
2. The following table shows the number of Maruti cars sold by five dealers in a particular month: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that one car icon represents 5 Maruti cars. 
So the number of icons sold by the 5 dealers in a particular month are as given below: 
 
 
 
 
 
  
 
 
Below given is the pictograph which represents the above data: 
 
 
 
3. The population of Delhi State in different census years is as given below: 
 
 
 
Represent the above information with the help of a bar graph. 
Solution: 
 
In order to represent the data on a bar graph, we should construct a horizontal and a vertical line. We know that 
the horizontal line represents the census year and the vertical line represents the population in lakhs. 
Here 5 values are given so mark 5 points on the horizontal axis having equal distances and erect rectangles having 
same width and heights proportional to the given data. 
The same way, on vertical axis, difference between two points is 10 which represents a population of 10 lakhs. 
 
 
 
 
 
  
 
 
4. Read the bar graph show 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. 
The maximum number of tickets sold is three times the minimum number of tickets sold. 
(v) Of which state were the minimum number of tickets sold? 
Solution: 
 
(i) The bar graph represents the number of tickets of different state lotteries sold by an agent on a day. 
 
(ii) 40 tickets of Assam State Lottery were sold by the agent. 
 
 
 
 
 
  
(iii) The maximum number of tickets were sold in the state Haryana. 
 
(iv) False.  
We know that 
Maximum vertical length = 100 units (Haryana) 
Minimum vertical length = 20 units (Rajasthan) 
So the maximum number of lottery sold for one state is 100 tickets and the minimum is 20 tickets. 
 
(v) The minimum number of tickets were sold of Rajasthan state. 
 
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? 
(viii) Whether the population in general increases, decreases or remains constant with the increase in the 
age-group. 
Solution: 
(i) We know that the youngest age is 10-15 years. 
No. of persons in the youngest age group = 1400  
70-75 years is the oldest age group. 
No. of persons in the oldest age group = 300 
So the difference = 1400 – 300 = 1100 
Hence, the youngest group has 1100 more people than the oldest group. 
 
Percentage of the youngest group over oldest group = (1100/300) × 100 = 1100/3 = 366 2/3 % 
Page 5


 
 
 
 
 
  
                                                                              
1. The following table shows the daily production of T.V. sets in an industry for 7 days of a week: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that a TV icon represents 50 TVs. 
So the number of icons produced by the industry on various days of a week are given below: 
 
 
Below given is the pictograph which represents the above data: 
 
 
 
2. The following table shows the number of Maruti cars sold by five dealers in a particular month: 
 
Represent the above information by a pictograph. 
Solution: 
 
Consider that one car icon represents 5 Maruti cars. 
So the number of icons sold by the 5 dealers in a particular month are as given below: 
 
 
 
 
 
  
 
 
Below given is the pictograph which represents the above data: 
 
 
 
3. The population of Delhi State in different census years is as given below: 
 
 
 
Represent the above information with the help of a bar graph. 
Solution: 
 
In order to represent the data on a bar graph, we should construct a horizontal and a vertical line. We know that 
the horizontal line represents the census year and the vertical line represents the population in lakhs. 
Here 5 values are given so mark 5 points on the horizontal axis having equal distances and erect rectangles having 
same width and heights proportional to the given data. 
The same way, on vertical axis, difference between two points is 10 which represents a population of 10 lakhs. 
 
 
 
 
 
  
 
 
4. Read the bar graph show 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. 
The maximum number of tickets sold is three times the minimum number of tickets sold. 
(v) Of which state were the minimum number of tickets sold? 
Solution: 
 
(i) The bar graph represents the number of tickets of different state lotteries sold by an agent on a day. 
 
(ii) 40 tickets of Assam State Lottery were sold by the agent. 
 
 
 
 
 
  
(iii) The maximum number of tickets were sold in the state Haryana. 
 
(iv) False.  
We know that 
Maximum vertical length = 100 units (Haryana) 
Minimum vertical length = 20 units (Rajasthan) 
So the maximum number of lottery sold for one state is 100 tickets and the minimum is 20 tickets. 
 
(v) The minimum number of tickets were sold of Rajasthan state. 
 
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? 
(viii) Whether the population in general increases, decreases or remains constant with the increase in the 
age-group. 
Solution: 
(i) We know that the youngest age is 10-15 years. 
No. of persons in the youngest age group = 1400  
70-75 years is the oldest age group. 
No. of persons in the oldest age group = 300 
So the difference = 1400 – 300 = 1100 
Hence, the youngest group has 1100 more people than the oldest group. 
 
Percentage of the youngest group over oldest group = (1100/300) × 100 = 1100/3 = 366 2/3 % 
 
 
 
 
 
  
(ii) We know that the total population of the town = total number of people from all age groups 
By substituting the values 
Total population of the town = 1400 + 1200 + 1100 + 1000 + 900 + 800 + 300 = 6700 
 
(iii) From the bar graph we come to know that the age group 60-65 years consists of 800 persons. 
 
(iv) No. of persons in the age group 10-15 = 1400 
No. of persons in the age group 30-35 = 1100 
So the number of more persons in the age group 10-15 when compared to that of 30-35 = 1400 – 1100 = 300 
 
(v) From the bar graph we come to know that 1200 people are living in the age group 20-25 years. 
 
(vi) No. of persons living in the age group 50-55 is 900. 
 
(vii) We know that 1400 persons exist in the age group 10-15 years and 800 persons exist in the age group 60-65 
years. 
So the total number of persons in the age group 10-15 years and 60-65 years = 1400 + 800 = 2200 
 
(viii) We know that the population decreases with the increase in the age group. 
 
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. 
 
Solution: