BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon1895 Learners

Last updated on June 18th, 2025

Math Whiteboard Illustration

Bar Chart

Professor Greenline Explaining Math Concepts

A bar chart is a graphical representation used to represent data using vertical or horizontal bars. The length of each bar represents the values they represent. In this topic, we are going to learn about bar charts and their various types.

Bar Chart for US Students
Professor Greenline from BrightChamps

What is a bar chart?

Also add — Properties of Bar Chart, Uses of Bar Chart, here also add - how to read a bar chart 

A bar chart, also called a bar graph, is a visual representation of numerical data using rectangular bars. Each bar has the same width but different heights, depending on the values they represent. Bar charts are widely used in statistics to organize data effectively.

Bar charts are unique and different from other types of charts due to the following properties:
 

  • Bar charts use rectangular bars that are drawn either vertically or horizontally.
     
  • Every bar chart must have equal space and width between each bar. 
     
  • The height of a bar chart must be equal to the data it is representing .
     
  • A bar chart always has two axes, the x-axis and the y-axis.

Some uses of a bar chart are: 
We use bar charts to compare between different categories of data. It is easy and convenient to understand the data.
Bar charts are used to show large data which makes it a good time saving tool.
It helps understand the patterns of data over a long time.

Now you know what bar charts are used for and the properties of bar charts. Let us now learn how to read a bar chart:

First, we look at the title of the chart, as this tells you what the bar chart is all about.

  • Check the axes, the x-axis will tell you what the categories are and the y-axis represents the values or numbers.
     
  • Now read the bars, each bar’s height or length represents the value of the category.
     
  • Compare each bar, if the bar is taller than represents a higher value and the shorter bars represents a lower value. 

Struggling with Math?

Get 1:1 Coaching to Boost Grades Fast !

curious child
Professor Greenline from BrightChamps

How to Draw a Bar Chart?

We know how to read bar charts, so let us now look into how to create a bar chart. The steps to create a bar chart are as follows:


Step 1: On the graph, write the title of the bar chart. For example,“ Favorite subject in class”.


Step 2: Draw the x-axis (horizontal) and the y-axis (vertical).


Step 3: Label the axes. The X-axis can be labeled as Favorite subjects and the Y-axis can be labeled as the Number of students.


Step 4: Label the subjects such as math, physics, biology, etc. on the horizontal axis.


Step 5: Write the scale on the vertical axis equivalent to the given data.


Step 6: Draw the rectangular bars with equal gaps. The height will be equal to the data represented.

Professor Greenline from BrightChamps

What are the types of Bar Charts?

When it comes to bar charts, we have a few different types. Here are some of the types of bar charts that we use:
 

  • Horizontal Bar Charts — When data is represented via horizontal lines on graphs, these are called horizontal bar charts. In this type of bar chart, we represent the categories on the x-axis and y-axis.
    The y-axis shows the representation of data horizontally.
     
  • Vertical Bar Charts — The commonly used bar charts where the data is represented vertically. The bars are drawn vertically on the x-axis.
     
  • Vertical (or Horizontal) Grouped Bar Charts — Also known as the clustered bar charts. It represents discrete values for two or more categories that contain data. Each category is represented using different colors. 
     
  • Vertical (or Horizontal) Stacked Bar Charts — Stacked bar charts or composite bar charts show the division of the whole bar chart into different parts. To easily identify the categories in graphs we use different colors and labels
Professor Greenline from BrightChamps

What is the difference between a Bar chart and a Histogram?

Bar charts and histograms are often confused with one another, they both use bars to represent data. Here are a few differences between bar charts and histograms:

 

Bar Chart Histogram
A bar chart represents categories using rectangular bars. A histogram represents continuous data, the bars in this case are adjacent to each other and have no gaps.
 
t is used for categories such as fruits, sports, brands, etc. Histograms are mainly used for intervals such as age groups, and test scores.
 
The order of bars can be changed at any time. In histograms, the order of bars cannot be changed 


 

Professor Greenline from BrightChamps

Real-life applications on Bar charts

Bar charts are widely used in the real world as it is an effective way to compare data. Here are a few real-life applications of bar charts:
 

  • Population comparison: Governments use bar charts to compare populations between cities or countries.

     
  • Statistics of sports: Team managers and sports analysts use bar charts to compare players’ performance over a season.

     
  • Website Traffic Analysis: Digital marketers track trends that could help in optimizing marketing efforts by identifying peak traffic days.
Max Pointing Out Common Math Mistakes

Common Mistakes And How to Avoid Them in Bar Charts

Students frequently make mistakes when learning about bar charts. Here are some common mistakes that students make and ways to avoid them:
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Overcrowding data

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students must make sure that when creating bar graphs, they should not add too many categories. This would lead to cluttering of data which can be really hard to interpret. 

Mistake 2

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Incorrect labeling of data

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

When plotting values, students should double-check the data. If the data is plotted incorrectly, then the graph would be considered wrong. So make sure that when plotting data to double-check if the data is correct and in the right position.

Mistake 3

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Avoid using the wrong scales 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

When drawing a graph, students should correctly label the x-axis and y-axis. Ensure it uses the scale that is relevant to the data for any or all similar charts.

Mistake 4

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Using the wrong data for bar charts 
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

When trying to interpret the data, make sure that the data you are using for the bar graph is relevant. Applying a bar chart for continuous data (more suitable for histograms) can misinterpret the data.
 

Mistake 5

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Not starting the axis from zero
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Always start the axis from zero, unless there is a valid reason to adjust the axis. Not adding zeros in the axis can lead to misinterpretation of data or make it slightly hard to understand.
 

arrow-right

Level Up with a Math Certification!

2X Faster Learning (Grades 1-12)

curious child
Max from BrightChamps Saying "Hey"

Solved examples on Bar Charts

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A store recorded sales of different laptop brands in a week: Dell: 50 units HP: 40 units Lenovo: 30 units Apple: 20 units Asus: 25 units

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

NA

Explanation

 A bar chart is used to represent categorical data visually. Here the x-axis is the laptop brands and the y-axis is the sales numbers. The bars are drawn with heights corresponding to the number of laptops sold.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

The population (in millions) of five cities is given below: New York: 8.4M Los Angeles: 4.0M Chicago: 2.7M Houston: 2.3M Phoenix: 1.7M

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

NA

Explanation

A horizontal bar chart is used to display categorical data. Here the y-axis represents the cities and the x-axis represents the population in millions. The length of each bar corresponds to the population of the city.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

The monthly rainfall (in mm) recorded in a city for the first four months of the year is: January:78 mm February: 54 mm March: 89 mm April: 92 mm

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

NA

Explanation

A bar chart is used to compare different months based on rainfall. Here, the x-axis represents the months and the y-axis represents the rainfall (in mm). The height of each bar corresponds to the amount of rainfall recorded in that month.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

A school conducted a survey on students’ favorite sports. The results are: Football: 35 student Basketball: 30 students Cricket: 25 students Tennis:15 students Badminton: 20 students

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

NA

Explanation

We use a bar chart to compare the popularity of different sports. Here, the x-axis represents the sports and the y-axis represents the number of students who chose each sport. The height of each bar corresponds to the number of students who prefer that sport.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

The annual revenue (in billions) of five major companies is given below: Apple: $260B Microsoft: $140B Amazon: $280B Google: $160B Facebook: $85B

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

NA

Explanation

 A bar chart is used to compare the revenue of different companies. Here, the x-axis represents the company names, and the y-axis represents the revenue in billions of dollars. The height of each bar corresponds to the company’s annual revenue.

Max from BrightChamps Praising Clear Math Explanations

Turn your child into a math star!

#1 Math Hack Schools Won't Teach!

curious child
Ray Thinking Deeply About Math Problems

FAQs on Bar Charts

1.When should we use a bar chart?

Math FAQ Answers Dropdown Arrow

2.What is one advantage of using a bar chart?

Math FAQ Answers Dropdown Arrow

3.Do bar charts show negative values?

Math FAQ Answers Dropdown Arrow

4. What is the best type of data for bar charts?

Math FAQ Answers Dropdown Arrow

5.Can a bar chart be combined with another type of graph?

Math FAQ Answers Dropdown Arrow

Struggling with Math?

Get 1:1 Coaching to Boost Grades Fast !

curious child
Math Teacher Background Image
Math Teacher Image

Jaipreet Kour Wazir

About the Author

Jaipreet Kour Wazir is a data wizard with over 5 years of expertise in simplifying complex data concepts. From crunching numbers to crafting insightful visualizations, she turns raw data into compelling stories. Her journey from analytics to education ref

Max, the Girl Character from BrightChamps

Fun Fact

: She compares datasets to puzzle games—the more you play with them, the clearer the picture becomes!

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom