Class 9 - Maths Bar Graph: Definition, Types, Uses & Solved Examples

A bar graph is one of the most engaging ways of representing data visually. It uses bars to show data and make comparisons between different categories. These bars can be either vertical or horizontal, depending on how the graph is drawn. A bar graph helps us understand patterns, trends, and differences in data quickly. Students, teachers, businesses, and scientists use bar graphs in everyday life to explain and understand numbers in a clear and easy way. By learning to convert tabular data into a bar graphs through examples provided on this page, students can improve their data representation and math skills. Follow the correct steps, label your graphs clearly, and choose the right type of graph for your data.

Table of Contents

• What is a Bar Graph
• How to Draw a Bar Graph
• Solved Examples on Bar Graph
• Practice Problems on Bar Graph

What is a Bar Graph

A bar graph is a pictorial representation of data in which usually bars of uniform width are drawn with equal spacing between them on one axis (say, the x-axis), depicting the variable. The values of the variable are shown on the other axis (say, the y-axis) and the heights of the bars depend on the values of the variable.

Keynotes:

• A bar graph is used to compare the data across various categories.

• The X-axis represents the categories and the Y-axis dipicts the values or frequency.

• The width of each bar in a bar graph is the same.  

• The height of each bar represents the quantity or value of a category.  

• The space between each bar remians constant.  

• These bars can be drawn either horizontal or vertical. 
  
  

How to Draw a Bar Graph

1. First step is to gather the details from the raw data or tabular data that you need to represent through a bar graph by identifying the categories and their respective values.
2. Draw and label both the axes to represent categories using x-axis and their values using Y-axis numerically.
3. Start drawing bars of equal width for each category and make sure the height or length of each bar matches its value.
4. Write a clear title at the top of the graph.

Solved Examples on Bar Graph

Example 1: Draw a bar graph to represent the marks obtained by a student in five different subjects. In which subject the student scored the highest and the lowest mark.

Solution:

Step 1: Identify the given data to be represented on the x-axis and y-axis of the bar graph.
Step 2: On the X-axis we will represent the subjects and on Y-axis we will represent marks
Step 3: Start drawing each bar to represent the marks obtained by the student in each subject. 
Step 4: The height of each bar corresponds to the mark.

As the bar showing science subject is the highest we can say that the student scored highest in science.

Practice Problems on Bar Graph

1. Given below are the matches won by different teams:
   

   Teams	A	B	C	D	E	F
   Matches Won	10	15	17	2	11	13

   
   (i) Draw a bar graph to represent the results.
   (ii) Which team won the maximum number of matches.
2. Draw a bar graph to represent the marks scored by Chirag in class VIII, IX and X in final exams:

   Class	VIII	IX	X
   Marks	450	410	470

   (i) In which grade Chirag scored the highest marks?