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Chapter 6: Bar Graphs 
 
 
PRACTICE SET 18 [PAGE 37] 
Practice Set 18 | Q 1 | Page 37 
This bar graph shows the maximum temperatures in degrees Celsius in different cities 
on a certain day in February. Observe the graph and answer the questions. 
 
 
1. What data is shown on the vertical and the horizontal lines? 
2. Which city had the highest temperature? 
3. Which cities had equal maximum temperatures? 
4. Which cities had a maximum temperature of 30°C? 
5. What is the difference between the maximum temperatures of Panchgani and 
Chandrapur? 
 
SOLUTION 
 
1. Temperature is shown on the vertical line (Y-axis) and different cities are shown 
on the horizontal line (X-axis). 
 
2. Chandrapur had the highest temperature (35°C) as the height of the bar 
corresponding to the city Chandrapur is maximum. 
 
3. Panchgani and Matheran had an equal maximum temperature of 25°C. Also, 
Pune and Nasik had an equal maximum temperature of 30°C. Thus, the cities 
Panchgani and Matheran; Pune and Nasik had equal maximum temperatures. 
 
4. Pune and Nasik had a maximum temperature of 30°C. 
 
Page 2


Chapter 6: Bar Graphs 
 
 
PRACTICE SET 18 [PAGE 37] 
Practice Set 18 | Q 1 | Page 37 
This bar graph shows the maximum temperatures in degrees Celsius in different cities 
on a certain day in February. Observe the graph and answer the questions. 
 
 
1. What data is shown on the vertical and the horizontal lines? 
2. Which city had the highest temperature? 
3. Which cities had equal maximum temperatures? 
4. Which cities had a maximum temperature of 30°C? 
5. What is the difference between the maximum temperatures of Panchgani and 
Chandrapur? 
 
SOLUTION 
 
1. Temperature is shown on the vertical line (Y-axis) and different cities are shown 
on the horizontal line (X-axis). 
 
2. Chandrapur had the highest temperature (35°C) as the height of the bar 
corresponding to the city Chandrapur is maximum. 
 
3. Panchgani and Matheran had an equal maximum temperature of 25°C. Also, 
Pune and Nasik had an equal maximum temperature of 30°C. Thus, the cities 
Panchgani and Matheran; Pune and Nasik had equal maximum temperatures. 
 
4. Pune and Nasik had a maximum temperature of 30°C. 
 
5. Maximum temperature of Panchgani = 25°C 
Maximum temperature of Chandrapur = 35°C 
? Difference between the maximum temperatures of Panchgani and Chandrapur 
= 35°C - 25°C = 10°C 
 
PRACTICE SET 19 [PAGES 38 - 39] 
 
Practice Set 19 | Q 1 | Page 38 
The names of the heads of some families in a village and the quantity of drinking water 
their family consumes in one day are given below. Draw a bar graph for this data. 
(Scale: On Y-axis, 1cm = 10 litres of water) 
 
Name Ramesh Shobha Ayub Julie Rahul 
Litres of water used 30 litres 60 litres 40 litres 50 litres 55 litres 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Heads and quantity of drinking water 
consumed". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the names of the head of the families on the X-axis at equal distances. 
(4) The quantity of the drinking water consumed is taken on the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 10 litres of water on the Y-
axis. 
(6) Draw a bar of the appropriate height above the name of each head of the family on 
the X-axis. 
Practice Set 19 | Q 2 | Page 39 
The names and numbers of animals in a certain zoo are given below. Use the data to 
make a bar graph. (Scale : on Y - axis, 1cm = 4 animals) 
 
Animals Deer Tiger Monkey Rabbit Peacock 
Number 20 4 12 16 8 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Names and number of animals". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
Page 3


Chapter 6: Bar Graphs 
 
 
PRACTICE SET 18 [PAGE 37] 
Practice Set 18 | Q 1 | Page 37 
This bar graph shows the maximum temperatures in degrees Celsius in different cities 
on a certain day in February. Observe the graph and answer the questions. 
 
 
1. What data is shown on the vertical and the horizontal lines? 
2. Which city had the highest temperature? 
3. Which cities had equal maximum temperatures? 
4. Which cities had a maximum temperature of 30°C? 
5. What is the difference between the maximum temperatures of Panchgani and 
Chandrapur? 
 
SOLUTION 
 
1. Temperature is shown on the vertical line (Y-axis) and different cities are shown 
on the horizontal line (X-axis). 
 
2. Chandrapur had the highest temperature (35°C) as the height of the bar 
corresponding to the city Chandrapur is maximum. 
 
3. Panchgani and Matheran had an equal maximum temperature of 25°C. Also, 
Pune and Nasik had an equal maximum temperature of 30°C. Thus, the cities 
Panchgani and Matheran; Pune and Nasik had equal maximum temperatures. 
 
4. Pune and Nasik had a maximum temperature of 30°C. 
 
5. Maximum temperature of Panchgani = 25°C 
Maximum temperature of Chandrapur = 35°C 
? Difference between the maximum temperatures of Panchgani and Chandrapur 
= 35°C - 25°C = 10°C 
 
PRACTICE SET 19 [PAGES 38 - 39] 
 
Practice Set 19 | Q 1 | Page 38 
The names of the heads of some families in a village and the quantity of drinking water 
their family consumes in one day are given below. Draw a bar graph for this data. 
(Scale: On Y-axis, 1cm = 10 litres of water) 
 
Name Ramesh Shobha Ayub Julie Rahul 
Litres of water used 30 litres 60 litres 40 litres 50 litres 55 litres 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Heads and quantity of drinking water 
consumed". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the names of the head of the families on the X-axis at equal distances. 
(4) The quantity of the drinking water consumed is taken on the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 10 litres of water on the Y-
axis. 
(6) Draw a bar of the appropriate height above the name of each head of the family on 
the X-axis. 
Practice Set 19 | Q 2 | Page 39 
The names and numbers of animals in a certain zoo are given below. Use the data to 
make a bar graph. (Scale : on Y - axis, 1cm = 4 animals) 
 
Animals Deer Tiger Monkey Rabbit Peacock 
Number 20 4 12 16 8 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Names and number of animals". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the name of the animals on the X-axis at equal distances. 
(4) The number of animals is taken on the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 4 animals on the Y-axis. 
(6) Draw a bar of the appropriate height above the name of each animal on the X-axis. 
 
Practice Set 19 | Q 3 | Page 39 
The table below gives the number of children who took part in the various items of the 
talent show as part of the annual school gathering. Make a bar graph to show this data. 
(Scale: on Y-axis, 1cm = 4 children) 
 
Programme Theatre Dance Vocal 
music 
Instrumental 
music 
One-act 
plays 
No. of students 24 40 16 8 4 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Programmes and number of 
children". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the name of the programmes on the X-axis at equal distances. 
(4) The number of children taking part in the various items of the talent show is taken on 
the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 4 children on the Y-axis. 
Page 4


Chapter 6: Bar Graphs 
 
 
PRACTICE SET 18 [PAGE 37] 
Practice Set 18 | Q 1 | Page 37 
This bar graph shows the maximum temperatures in degrees Celsius in different cities 
on a certain day in February. Observe the graph and answer the questions. 
 
 
1. What data is shown on the vertical and the horizontal lines? 
2. Which city had the highest temperature? 
3. Which cities had equal maximum temperatures? 
4. Which cities had a maximum temperature of 30°C? 
5. What is the difference between the maximum temperatures of Panchgani and 
Chandrapur? 
 
SOLUTION 
 
1. Temperature is shown on the vertical line (Y-axis) and different cities are shown 
on the horizontal line (X-axis). 
 
2. Chandrapur had the highest temperature (35°C) as the height of the bar 
corresponding to the city Chandrapur is maximum. 
 
3. Panchgani and Matheran had an equal maximum temperature of 25°C. Also, 
Pune and Nasik had an equal maximum temperature of 30°C. Thus, the cities 
Panchgani and Matheran; Pune and Nasik had equal maximum temperatures. 
 
4. Pune and Nasik had a maximum temperature of 30°C. 
 
5. Maximum temperature of Panchgani = 25°C 
Maximum temperature of Chandrapur = 35°C 
? Difference between the maximum temperatures of Panchgani and Chandrapur 
= 35°C - 25°C = 10°C 
 
PRACTICE SET 19 [PAGES 38 - 39] 
 
Practice Set 19 | Q 1 | Page 38 
The names of the heads of some families in a village and the quantity of drinking water 
their family consumes in one day are given below. Draw a bar graph for this data. 
(Scale: On Y-axis, 1cm = 10 litres of water) 
 
Name Ramesh Shobha Ayub Julie Rahul 
Litres of water used 30 litres 60 litres 40 litres 50 litres 55 litres 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Heads and quantity of drinking water 
consumed". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the names of the head of the families on the X-axis at equal distances. 
(4) The quantity of the drinking water consumed is taken on the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 10 litres of water on the Y-
axis. 
(6) Draw a bar of the appropriate height above the name of each head of the family on 
the X-axis. 
Practice Set 19 | Q 2 | Page 39 
The names and numbers of animals in a certain zoo are given below. Use the data to 
make a bar graph. (Scale : on Y - axis, 1cm = 4 animals) 
 
Animals Deer Tiger Monkey Rabbit Peacock 
Number 20 4 12 16 8 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Names and number of animals". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the name of the animals on the X-axis at equal distances. 
(4) The number of animals is taken on the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 4 animals on the Y-axis. 
(6) Draw a bar of the appropriate height above the name of each animal on the X-axis. 
 
Practice Set 19 | Q 3 | Page 39 
The table below gives the number of children who took part in the various items of the 
talent show as part of the annual school gathering. Make a bar graph to show this data. 
(Scale: on Y-axis, 1cm = 4 children) 
 
Programme Theatre Dance Vocal 
music 
Instrumental 
music 
One-act 
plays 
No. of students 24 40 16 8 4 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Programmes and number of 
children". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the name of the programmes on the X-axis at equal distances. 
(4) The number of children taking part in the various items of the talent show is taken on 
the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 4 children on the Y-axis. 
(6) Draw a bar of the appropriate height above the name of each programme on the X-
axis. 
 
Practice Set 19 | Q 4 | Page 39 
The number of customers who came to a juice centre for one week is given in the table 
below. Make two different bar graphs to show this data. (Scale: on Y-axis, 1cm = 10 
customers, on Y - axis, 1cm = 5 customers) 
 
Type of juice Orange Pineapple Apple Mango Pomegranate 
No. of 
Customers 
50 30 25 65 10 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Juices and number of customers". 
2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the name of the juices on the X-axis at equal distances. 
(4) The number of customers is taken on the Y-axis. 
(5) For the first bar graph, write the scale in the top right-hand corner i.e. 1 cm = 10 
customers on the Y-axis. 
For the second bar graph, write the scale in the top right-hand corner i.e. 1 cm = 5 
customers on the Y-axis. 
(6) Draw a bar of the appropriate height above the type of each juice on the X-axis. 
Page 5


Chapter 6: Bar Graphs 
 
 
PRACTICE SET 18 [PAGE 37] 
Practice Set 18 | Q 1 | Page 37 
This bar graph shows the maximum temperatures in degrees Celsius in different cities 
on a certain day in February. Observe the graph and answer the questions. 
 
 
1. What data is shown on the vertical and the horizontal lines? 
2. Which city had the highest temperature? 
3. Which cities had equal maximum temperatures? 
4. Which cities had a maximum temperature of 30°C? 
5. What is the difference between the maximum temperatures of Panchgani and 
Chandrapur? 
 
SOLUTION 
 
1. Temperature is shown on the vertical line (Y-axis) and different cities are shown 
on the horizontal line (X-axis). 
 
2. Chandrapur had the highest temperature (35°C) as the height of the bar 
corresponding to the city Chandrapur is maximum. 
 
3. Panchgani and Matheran had an equal maximum temperature of 25°C. Also, 
Pune and Nasik had an equal maximum temperature of 30°C. Thus, the cities 
Panchgani and Matheran; Pune and Nasik had equal maximum temperatures. 
 
4. Pune and Nasik had a maximum temperature of 30°C. 
 
5. Maximum temperature of Panchgani = 25°C 
Maximum temperature of Chandrapur = 35°C 
? Difference between the maximum temperatures of Panchgani and Chandrapur 
= 35°C - 25°C = 10°C 
 
PRACTICE SET 19 [PAGES 38 - 39] 
 
Practice Set 19 | Q 1 | Page 38 
The names of the heads of some families in a village and the quantity of drinking water 
their family consumes in one day are given below. Draw a bar graph for this data. 
(Scale: On Y-axis, 1cm = 10 litres of water) 
 
Name Ramesh Shobha Ayub Julie Rahul 
Litres of water used 30 litres 60 litres 40 litres 50 litres 55 litres 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Heads and quantity of drinking water 
consumed". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the names of the head of the families on the X-axis at equal distances. 
(4) The quantity of the drinking water consumed is taken on the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 10 litres of water on the Y-
axis. 
(6) Draw a bar of the appropriate height above the name of each head of the family on 
the X-axis. 
Practice Set 19 | Q 2 | Page 39 
The names and numbers of animals in a certain zoo are given below. Use the data to 
make a bar graph. (Scale : on Y - axis, 1cm = 4 animals) 
 
Animals Deer Tiger Monkey Rabbit Peacock 
Number 20 4 12 16 8 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Names and number of animals". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the name of the animals on the X-axis at equal distances. 
(4) The number of animals is taken on the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 4 animals on the Y-axis. 
(6) Draw a bar of the appropriate height above the name of each animal on the X-axis. 
 
Practice Set 19 | Q 3 | Page 39 
The table below gives the number of children who took part in the various items of the 
talent show as part of the annual school gathering. Make a bar graph to show this data. 
(Scale: on Y-axis, 1cm = 4 children) 
 
Programme Theatre Dance Vocal 
music 
Instrumental 
music 
One-act 
plays 
No. of students 24 40 16 8 4 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Programmes and number of 
children". 
(2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the name of the programmes on the X-axis at equal distances. 
(4) The number of children taking part in the various items of the talent show is taken on 
the Y-axis. 
(5) Write the scale in the top right-hand corner i.e. 1 cm = 4 children on the Y-axis. 
(6) Draw a bar of the appropriate height above the name of each programme on the X-
axis. 
 
Practice Set 19 | Q 4 | Page 39 
The number of customers who came to a juice centre for one week is given in the table 
below. Make two different bar graphs to show this data. (Scale: on Y-axis, 1cm = 10 
customers, on Y - axis, 1cm = 5 customers) 
 
Type of juice Orange Pineapple Apple Mango Pomegranate 
No. of 
Customers 
50 30 25 65 10 
 
SOLUTION 
Steps to draw the bar graph: 
(1) In the centre of the graph paper, write the title "Juices and number of customers". 
2) Draw the X-axis and Y-axis, and mark O, their point of intersection. 
(3) Write the name of the juices on the X-axis at equal distances. 
(4) The number of customers is taken on the Y-axis. 
(5) For the first bar graph, write the scale in the top right-hand corner i.e. 1 cm = 10 
customers on the Y-axis. 
For the second bar graph, write the scale in the top right-hand corner i.e. 1 cm = 5 
customers on the Y-axis. 
(6) Draw a bar of the appropriate height above the type of each juice on the X-axis. 
 
 
Practice Set 19 | Q 5 | Page 39 
 
Students planted trees in 5 villages of Sangli district. Make a bar graph of this data. 
(Scale: on Y-axis, 1cm = 100 trees) 
 
Name of 
place 
Dudhgaon Bagni Samdoli Ashta Kavathepiran 
No. of trees 
planted 
500 350 600 420 540

	Mathematics Class 6 (Maharashtra Board) 30 videos\|112 docs\|15 tests

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FAQs on Textbook Solutions: Bar Graphs - Mathematics Class 6 (Maharashtra Board)

1. What is a bar graph, and how is it used to represent data?

Ans. A bar graph is a visual representation of data using rectangular bars. The length of each bar corresponds to the value it represents, making it easy to compare different categories. Bar graphs can be used to display various types of data, such as survey results, population statistics, or sales figures, by showing how different groups compare against one another.

2. How do you create a bar graph from collected data?

Ans. To create a bar graph, first, collect your data and organize it into categories. Next, choose a scale that fits your data range. Then, draw the axes, labeling the horizontal axis with the categories and the vertical axis with the values. Finally, draw a bar for each category that reaches up to the corresponding value on the vertical axis, ensuring the bars are of equal width and spaced correctly.

3. What are the advantages of using bar graphs over other types of graphs?

Ans. Bar graphs have several advantages, including clarity and ease of interpretation. They allow for quick comparisons between different categories and can effectively display large amounts of data without overcrowding. Additionally, bar graphs can represent both discrete and continuous data, making them versatile for various applications.

4. What are some common mistakes to avoid when interpreting bar graphs?

Ans. Common mistakes when interpreting bar graphs include misreading the scale, ignoring the labels, and not considering the context of the data. It's essential to pay attention to the intervals on the axes and ensure that comparisons are made between bars of the same category. Additionally, one should be cautious of any misleading representations, such as unequal bar widths or manipulated scales.

5. Can bar graphs be used to represent negative values, and if so, how?

Ans. Yes, bar graphs can represent negative values. In such cases, the bars representing negative values are drawn below the baseline (usually the x-axis), while positive values are above. It's important to clearly label these values and ensure that the axes are marked appropriately to avoid confusion. This allows for a visual comparison of both positive and negative data effectively.

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