Bar Graphs: Types, Properties, Uses & Solved Examples

Ahana Bhaduri logo

Ahana Bhaduri

Content Writer

Representing a set of data with graphs makes it easy to understand. It becomes one more step easy if represented through Bar Graphs. It is a graphic method of presenting grouped or ungrouped data with the help of bars (vertical or horizontal). As per the variations in data, the height or length of the bar varies. 

Key Takeaways: Different Types of Bar Graph, how a Bar Graph is different from a histogram, procedure of making a Bar Graph, Uses of Bar Graph in real life. 


Categories of Bar Graph

[Click Here for Sample Questions]

There are various categories of Bar Graphs, the sections below will discuss them in detail.

Horizontal Bar Graph

Here the x-axis represents the recorded data and the y-axis represents the different types of data. The length of each bar corresponds to its data in the tabular form. The bars originate from the y-axis and move parallel to the x-axis.

Horizontal Bar Graph

Horizontal Bar Graph

Vertical Bar Graph

In this bar graph, the y-axis represents the exact value of the recorded data and the x-axis shows the different types of data. Height becomes the primary parameter that corresponds to the data in the tables. Bars originate from the x-axis and move parallel to the y-axis. 

Vertical Bar Graph

Vertical Bar Graph

Grouped Bar Graph 

In the Grouped Bar Graph more than one set of data is represented in one graph. For better identification, each set is given a different colour or symbol. Here, unlike each bar, a value represents an entire set. For example, if sales of three types of shirts in each month are represented in a bar graph. Then each bar would represent sales of each type of shirt in a particular month. 

Grouped Bar Graph 

Grouped Bar Graph 

Stacked Bar Graph

Like grouped bar graphs in stacked bar graphs, more than one set of data are represented in one graph. Comparing the same earlier example of sales of the shirt in each month, sales of all shirts in a month will be represented in a single bar. 

Stacked Bar Graph

Stacked Bar Graph


Properties

[Click Here for Sample Questions]

There may be different types of bar graphs, but few characteristics remain the same that are necessary for a Bar Graph. Some of them are:

  • The space between bars must be equal, in the case of grouped bar graph space between two groups must be equal.
  • The breadth of each bar must be equal. 
  • All the bars must be constituted of an equal base. 

Where is the Bar Graph used?

[Click Here for Sample Questions]

Bar Graph is the best method for comparing statistics with large numerical values. Instead of wasting time searching required data in tables, a bar graph provides a visual representation of the data. Runs made by a cricketer in the last five years, sales of companies and such quantitative data analysis become easier with Bar Graphs. 


Distinguish between Bar Graph and Histogram

[Click Here for Sample Questions]

Similarities between Bar Graph and Histogram is only that rectangular shape. Rest all features and the area of use is different. 

Bar Graph Histogram
Equal spaces are present between bars. There is no space between bars. They are adjacent to each other.
No need to make class intervals.  Without making, class intervals histogram cannot be made.
No need to arrange the data either in ascending or descending. Data must be arranged. 
Bar Graph is used for finite or discrete variables. Histogram can be used for both discrete and continuous. 

Difference between Bar Graph and Histogram

Distinguish between Bar Graph and Histogram


How to draw a Bar Graph?

[Click Here for Sample Questions]

Suppose we want to draw a bar graph for the data of the number of apples, mangoes, oranges and peaches grown in a year. Suppose the corresponding values are 10, 15,30 and 5. Now follow the steps below:

  • Put the different types of fruits i.e., Apples, Mangoes, Oranges and Peach in the horizontal axis (x-axis). 
  • Create a scale out of given values, such as 5, 10, 15, 20, 25, 30 and put it in the vertical axis (y-axis). These scales must be multiples and not uneven numbers like 2, 5, 17 etc. 
  • Now draw the graph by plotting the corresponding values for each fruit. 

Things To Remember

[Click Here for Sample Questions]

  • Do not confuse Bar Graph with a histogram. The basic difference is to check the gaps between bars. In Histogram the rectangular bars are stuck to each other, whereas in a Bar Graphs bars are separated with equal gaps between. 
  • Remember that Bar Graph works only with finite or discrete variables. Plotting infinite data requires making class intervals which are not possible in Bar Graph. 

Solved Questions

Ques. The following table has data on students playing different games in a school. Draw a Bar Graph corresponding to the following data. 

Sport Basketball Tennis Badminton Hockey
No. of students 10 20 9 35

Ans. 

Bar Graph

Ques.The temperature of a city as measured is given:

Time of the day 10 am 12 am 2 pm 10 pm
Recorded temperature in (oC) 26 32 35 22

Plot a Bar Graph for the above data. 

Ans.
 

Bar Graph

Ques. No. of furniture sold by a shop from January to June is as such. 

Months January February March April May June
Scooters Sold 49 35 54 29 40 59

Ans.

Bar graph

Ques.A teacher asks his students what they like to do when they are free. The data regarding their choice is given below. 

Activity Reading Singing Sleeping Eating Movies Outdoor activities
No. of students 25 32 17 44 26 21

Make a bar graph that represents the corresponding values. 

Ans. 

Bar Graph

Ques.Following is the data of no. of people dying due to air pollution from 2016 – 2021. Draw a bar graph and answer the questions based on it. 

Year 2016 2017 2018 2019 2020 2021
No. of deaths 549 633 465 701 443 378

Ans.

Bar Graph

Ques.The table given below contains data regarding the sales of newly launched electric vehicles in the market from March till July. Draw a Bar Graph for the data given below and answer questions by looking at the graph. 

Month March April May June July
No. of cars sold 33 47 59 87 113

Ans.

Bar Graph

Ques.Akash, Rohit, Sanjay, Arjun and Ravi receive pocket money from their parents. Given below is the amount each one receives, draw a bar graph using the data below. 

Students Akash Rohit Sanjay Arjun Ravi
Pocket Money 1000 850 2500 900 1500

Ans.

Bar Graph

Ques.Given below is information on newborn babies in a country from 2005 to 2010. 

Year 2005 2006 2007 2008 2009 2010
No. of new born babies 1047 1150 1530 995 2050 1750

Draw an appropriate Bar Graph that represents the values given above. 

Ans.

Bar Graph

Read More:-

Similarity of Triangles Mean Formula
Angle Formula Trigonometry Formulae

CBSE X Related Questions

  • 1.
    Assertion (A) : The system of linear equations $3x - 5y + 7 = 0$ and $-6x + 10y + 14 = 0$ is inconsistent.
    Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.

      • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
      • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
      • Assertion (A) is true, but Reason (R) is false.
      • Assertion (A) is false, but Reason (R) is true.

    • 2.
      Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$


        • 3.
          Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.


            • 4.
              Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.


                • 5.
                  The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

                    • $1$
                    • $-5$
                    • $25$
                    • $\sqrt{5}$

                  • 6.
                    A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

                      Comments


                      No Comments To Show