Worksheet on Bar Graphs or Column Graphs has the questions on representing the data as a bar graph. To represent the data as rectangular bars, we need to take data along the x-axis, y-axis. And select a suitable scale, draw the rectangular bars. The pictorial representation of grouped data as horizontal or vertical bars is called the bar graph. In the below sections of this page, we are giving the questions and answers related to the bar graphs or column graphs. Solve them and learn different types of questions in Bar Graph.
1. The marks obtained by Aravind in his annual examination are shown below:
| Subject | French | English | Maths | Science | Social Sciences |
|---|---|---|---|---|---|
| Marks | 70 | 80 | 50 | 75 | 60 |
Draw a bar graph chart to represent the above data.
Solution:
Given that,
The marks obtained by Aravind in the annual examination.
On graph paper, draw horizontal and vertical lines.
Take subjects along the x-axis at equal gaps, marks along the y-axis.
Choose 1 small division = 10 units
Then the heights of the bars are:
1 small division = 10 dollars
Then, the heights of the bars are:
French marks = (1/10 * 70) = 7 small divisions
Marks in English = (1/10 * 80) = 8 small divisions
Marks in Maths = (1/10 * 50) = 5 small divisions
Marks in Science = (1/10 * 75) = 7.5 small divisions
Marks in Social Sciences = (1/10 * 60) = 6 small divisions
Bar graph showing Aravind marks in Annual Examination
At the points marked in Step 2, draw bars of equal width and of heights calculated.
2. The population in lakhs of seven Indian states as estimated in 2010 is given below:
| State | Andhra Pradesh | Assam | Bihar | Telangana | Tamil Nadu | Rajasthan |
|---|---|---|---|---|---|---|
| Population (in Lakhs) | 520 | 400 | 250 | 800 | 750 | 690 |
Represent the above data by a bar graph.
Solution:
Given that,
The population of seven Indian states estimated in 2010.
Draw horizontal, vertical lines on a graph paper.
Take states along the x-axis at equal gaps, the population in lakhs along the y-axis.
Choose 1 small division = 100 lakhs
Then, the heights of the bars are:
Population in Andhra Pradesh = (1/100 * 520) = 5.2 small divisions
Population in Assam = (1/100 * 400) = 4 small divisions
Population in Bihar = (1/100 * 250) = 2.5 small divisions
Population in Telangana = (1/100 * 800) = 8 small divisions
Population in Tamil Nadu = (1/100 * 750) = 7.5 small divisions
Population in Rajasthan = (1/100 * 690) = 6.8 small divisions
Bar graph showing the population in seven Indian states.
3. A school conducted a survey to know the favorite sports of the students. The table below shows the results of this survey.
| Name of the Sport | Cricket | Football | Basketball | Volleyball | Chess | Table Tennis | Badminton |
|---|---|---|---|---|---|---|---|
| Total Number of Students | 45 | 53 | 70 | 44 | 66 | 22 | 33 |
From this data,
(a) Draw a graph representing the sports and the total number of students.
(b) Which sport is the most preferred one?
(c) List the sports in ascending order.
(d) Which two sports are almost equally preferred?
(e) Calculate the range of the graph.
Solution:
The favorite sports of students according to the survey are given.
(a) On a graph paper, draw a horizontal line OX and a vertical line OY, representing the x-axis and the y-axis respectively.
Take Sport name along the x-axis, the total number of students along the y-axis.
On a scale, choose 1 small division = 5 units
Number of students whose favorite game cricket = (1/5 * 45) = 9 small divisions
Number of students whose favorite game football = (1/5 * 53) = 10.6 small divisions
Number of students whose favorite game basketball = (1/5 * 70) = 14 small divisions
Number of students whose favorite game volleyball = (1/5 * 44) = 8.8 small divisions
Number of students whose favorite game chess = (1/5 * 66) = 13.2 small divisions
Number of students whose favorite game tabletennis = (1/5 * 22) = 4.4 small divisions
Number of students whose favorite game badminton = (1/5 * 33) = 6.6 small divisions
Bar graph showing students favorite game
From the graph,
(b) The most preferred sport is basketball.
(c) Basketball, Chess, Football, Cricket, Volleyball, Badminton, Table tennis.
(d) Cricket, Volleyball are two sports that are almost equally preferred.
(e) The range of the graph is 70 – 22 = 48
4. The number of cars produced in a factory during five consecutive weeks is given below:
| Week | First | Second | Third | Fourth | Fifth |
|---|---|---|---|---|---|
| Number of Cars Produced | 500 | 800 | 1060 | 1400 | 1700 |
Draw a bar graph or column graph representing the above information.
Solution:
Given that,
The number of cars produced in a factory for five consecutive weeks.
Draw two perpendicular lines, x-axis, y-axis on a graph paper.
Take weeks along the x-axis at equal gaps.
Take the number of cars produced per week along the y-axis.
Scale on the y-axis is 1 small division = 200 cars.
According to the scale, draw rectangular bars for each week.
Fill color in it to show the variation.
Column graph or bar graph representing the number of cars produced by a compy for five consecutive weeks.
5. A survey of 145 people asked them “Which is the nicest fruit?”
| Fruit | Apple | Orange | Banana | Kiwifruit | Blueberry | Grapes |
|---|---|---|---|---|---|---|
| People | 35 | 30 | 10 | 25 | 40 | 5 |
Draw a bar graph for the data.
Solution:
Draw two perpendicular lines on a graph paper.
Take fruit on the x-axis, people number on the y -axis.
Choose 1 small division = 5 units
Then, the heights of the bars are:
Number of people who like apple = (1/5 * 35) = 7 small divisions
Number of people who like orange = (1/5 * 30) = 6 small divisions
Number of people who like banana = (1/5 * 10) = 2 small divisions
Number of people who like kiwifruit = (1/5 * 25) = 5 small divisions
Number of people who like blueberry = (1/5 * 40) = 8 small divisions
Number of people who like grapes = (1/5 * 5) = 1 small divisions
The nicest fruit according to the survey is blueberry.
6. In a survey of 85 families of a colony, the number of members in each family was recorded, and the data has been represented by the following bar graph.
Read the bar graph carefully and answer the following questions:
(i) What information does the bar graph give?
(ii) How many families have 3 members?
(iii) How many people live alone?
(iv) Which type of family is the most common? How many members are there in each family of this kind?
Solution:
From the given graph we can observe that,
(i) The graph tells about the number of families containing 2, 3, 4, 5 members each.
(ii) 40 families have 3 members.
(iii) No one lives alone.
(iv) Family having 3 members is the most common type.
7. The following graph shows the life expectancy (average age to which people live) in various countries in a particular year.
Read the bar graph carefully and answer the following questions:
(i) What information does the bar graph give?
(ii) Which country has the highest, lowest life expectancy?
(iii) What is the life expectancy in India?
(iv) What is the range of the graph?
Solution:
The given graph represents the life expectancy of various countries.
From the given graph we can observe that,
(i) Graph tells about the life expectancy of five different countries in a particular year.
(ii) Japan has the highest life expectancy which is 70 years. Cambodia has the lowest life expectancy which is 40 years.
(iii) India life expectancy is 63 years.
(iv) Range is 70 – 40 = 30.
8. The following table shows the market position of different types of lotions
| Brands | A | B | C | D | E | others |
|---|---|---|---|---|---|---|
| Percentage of Buyer | 50 | 20 | 40 | 30 | 60 | 10 |
Represent the given data in a bar graph or column graph.
Solution:
Given that,
The market position of different types of lotions.
On a graph paper, draw a horizontal line OX and a vertical line OY, representing the x-axis and the y-axis respectively.
Take brands along the x-axis at equal gaps, percentage of buyers along the y-axis.
Scale, choose 1 small division = 5 units
Then, the heights of the bars are:
Brand A position in market = (1/5 * 50) = 10
Brand B position in market = (1/5 * 20) = 4
Brand C position in market = (1/5 * 40) = 8
Brand D position in market = (1/5 * 30) = 6
Brand E position in market = (1/5 * 60) = 12
Other brand position in market = (1/5 * 10) = 2
Bar graph showing the brands position in the market.
9. Given below is a graph showing the number of electric bulbs sold in a shop for a week.
Read the bar graph or column graph carefully and answer the questions given below:
(i) On which day of the week was the sale minimum?
(ii) On which day of the week was the sale maximum?
(iii) What was the total sale during the week?
(iv) What is the ratio between the minimum sale and the maximum sale?
Solution:
given graph shows the number of electric bulbs sold in a shop for a week.
By observing the graph,
(i) On Tuesday, the sale was minimum.
(ii) On Saturday, the sale was maximum.
(iii) The sale during the week is 1040 bulbs.
(iv) The minimum sale during the week = 100 bulbs.
The maximum sale during the week = 275 bulbs.
Therefore, minimum sale : maximum sale = 100 : 275 = 20 : 55.
10. Various modes of transport used by 1830 students of a school are given below:
| School Bus | Private Bus | Bicycle | Rickshaw | By Foot |
|---|---|---|---|---|
| 640 | 220 | 500 | 120 | 350 |
Draw a bar graph to represent the above data.
Solution:
On a graph paper, take the mode of transport on the x-axis, the number of students on y-axis.
Take 1 small division = 50 students
Then, the heights of the bars are:
Number of students used school bus = (1/ 50 * 640) = 12.8
Number of students used bicycle = (1/ 50 * 500) = 10
Number of students used private bus = (1/ 50 * 220) = 4.4
Number of students used rickshaw = (1/ 50 * 120) = 2.4
Number of students reach school by foot = (1/ 50 * 350) = 7
11. A teacher of elementary school recorded the favorite subjects of her students in a bar graph. Use the graph to answer the following questions.
(i) What unit of the scale is used to display the popularity of subjects?
(ii) Which subject is the second most popular?
(iii) Which subject is less popular?
(iv) Which subject is favorite for 20 students?
(v) For how many students, maths is the favorite subject?
Solution:
The given bar graph represents the favorite subjects for the students of a class.
By observing the graph, we can say that
(i) The popularity of the subjects is taken along the x-axis on the bar graph.
(ii) The second most popular subject is social.
(iii) The less popular subject is language.
(iv) Language is a favorite subject for 20 students in the class.
(v) For 40 students maths is the favorite subject.