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Introduction to Graphs Class 8 Notes CBSE Maths Chapter 15 (Free PDF Download)

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Last updated date: 25th Apr 2024
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Revision Notes for CBSE Class 8 Maths Chapter 15 - Free PDF Download


CBSE chapter 8 is a part of class 8 revision notes introduction to graphs. In these quick revision notes, you will find NCERT class 8 maths chapter 15 revision notes. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. You can also register Online for Class 8 Science and Class 8 Maths tuition on Vedantu.com to score more marks in CBSE board examination.


The Notes of the Chapter Cover the Following Topics

Table of Content

  • Introduction to Graphs

  • Type of Common Graphs

  • Solved Examples on Graphs

  • Cartesian Plane System


Download CBSE Class 8 Maths Revision Notes 2024-25 PDF

Also, check CBSE Class 8 Maths revision notes for All chapters:


Access Class VIII Mathematics Chapter 15 - Introduction to Graphs Notes

  • Data presented in a graphical format is easier to comprehend. 

  1. To show comparisons between categories, a bar graph is employed.

  2. To compare portions of a whole, a pie graph is employed.

  3. A histogram is a bar graph with data displayed in intervals.

  • A line graph depicts data that is constantly changing throughout time.

  • A linear graph is a graph that consists of a single continuous line.

  • The $\text{x}$ -coordinate and $\text{y}$ -coordinate are required to fix a point on the graph sheet.

  • A graph depicts the relationship between the dependent and independent variables.

  • A Bar Graph:

  • A graphical representation of numerical data made out of uniformly sized bars (rectangles) with equal spacing. 

  • Each bar's length (or height) symbolises the provided number.


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  • A Pie Graph:

  • A pie graph is a visual representation of how sections of a whole are compared. 

  • The sectors of the circle symbolise the numerous observations or components.


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  • Histogram:

A histogram is a form of bar diagram in which the class intervals are shown on the horizontal axis and the heights of the bars (rectangles) represent the frequency of the class interval, but there is no gap between the bars because the class intervals are not separated by a gap.


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  • Linear Graph:

A line graph with all of the line segments forming one continuous line.

  • Coordinates:

An ordered pair of numbers represents a point on the Cartesian plane.

  • Ordered Pair:

A set of numbers in a predetermined arrangement.


Class 8 Maths Notes of Introduction to Graphs

Introduction to Graphs In Revision Notes Class 8 Maths Chapter 15

Graphs are basically the visual illustrations of the data gathered. Graphical representation enables us to showcase the trend of the data. These graphs are applicable in different fields and it is of great help to the people. There are various types of Graphs and each of these serves a specific purpose.

 

Points to Remember for Introduction to Graphs

  • The x-coordinate of a point is actually the distance from the y-axis.

  • The y-coordinate of a point is actually its distance from the x-axis.

  • The coordinates of the origin in a graph are valued at (0, 0).

  • The x-coordinate of each point on y-axis is 0

  • The y-coordinate of each point on x-axis is 0

  • A line graph that’s completely an unbroken line is called a linear graph.

  • A bar graph helps to establish and express comparison among categories.

  • A pie graph helps to compare parts of a whole.

  • A line graph shows data that changes constantly over periods of time.

  • A histogram is a bar graph that depicts data in intervals.

  • To fix a point on the graph we require, x-coordinate and y-coordinate.

  • The relationship between dependent variable and independent variable is displayed through a graph.

 

Types of Graph Represented in Class 8 Revision Notes Introduction to Graphs

  1. Bar Graph

A bar graph is a kind of graph which is made to show comparisons between different categories. In this kind of graph, bars of uniform width are used to display the different quantities and their height is kept proportional to their respective values.

The below bar graph is representing the kind of pet people usually own. 

  1. Double Bar Graph

This is almost similar to the bar graph, just that two types of data are shown here correspondingly. Usually, this form of graph is used to display a comparison between two data.

This Double bar graph shows the different sports preferred by male and female students Yellow bars show the sports liked by girls and red bars show the sports liked by boys . Hence we can easily compare the like and dislike of sports in average students.

  1. Pie Chart

Also known as Circle Graph is used to represent the given data in the circular form. When the data is represented in a circular form, it is termed as a pie chart. A pie chart basically shows the part of a whole.

This pie chart shows the percentage of people who like particular fruits. From the given pie chart, we can easily obtain that the maximum number of people like bananas and the least number of people like peaches 

  1. Line Graph

We use the line graph when we tend to see the changes continuously over a period of time.

Here the horizontal line (x-axis) displays the number of days and the vertical line (y-axis) displays the number of muffins sold on a particular day on every successive day.

By this line graph, we can easily understand the changes in the sale of muffins during these 7 days of a week. 

  1. Linear Graphs

A whole unbroken line is what we call a Linear Graph.

  1. Histogram

We can construct a histogram when we have grouped the data in the form of class intervals. It is also a kind of bar graph. The only difference is that there is no gap between the bars as this is a graph of continuous data.

This histogram shows the height of the trees.

 

Benefits of the Ch 15 Class 8 Maths Revision Notes 

The given introduction to graphs class 8 notes Pdf free download available at Vedantu will help you to understand the graphs better and the appropriate ways to use them. If you have any query regarding class 8 maths revision notes chapter 15, drop a comment at the Vedantu website and have your query resolved at the earliest. Features of Vedantu’s Revision Notes to mention are:


  • Provides quick, clear summaries of key concepts.

  • Simplifies complex topics for better understanding.

  • Efficient tool for last-minute exam prep.

  • Enhances retention of crucial information.

  • Supports effective exam preparation with key points and tips.

  • Saves time by consolidating information.

  • Prioritizes important topics and questions.

  • Offers practical examples for real-world connections.

  • Boosts student confidence for exams.


Conclusion

For an enhanced comprehension of this subject, NCERT - Class 8 Maths Chapter 15 - Introduction to Graph, thoughtfully prepared by experienced educators at Vedantu is your invaluable companion. These notes break down the complexities of Introduction to Graph into easily digestible sections, helping you grasp new concepts, master formulas, and navigate through questions effortlessly quickly in the last minute as well. By immersing yourself in these notes, you not only prepare for your studies more efficiently but also develop a profound understanding of the subject matter.

FAQs on Introduction to Graphs Class 8 Notes CBSE Maths Chapter 15 (Free PDF Download)

1. What is the location of a point in maths class 8 introductions to graphs notes?

In order to construct a linear graph, we use a Cartesian plane. It is that graphical system on which we mark the points by considering the horizontal and vertical lines (i.e. the x-axis and the y-axis). A Cartesian plane is like a square grid sheet  which is divided into four quadrants by making a horizontal line (x-axis) and a vertical line (y-axis).

2. What is the purpose of making graphs?

The purpose of the displaying graphical representation is to show numerical facts in visual form for their quick and improved understanding. It is particularly very  useful when there is a trend or comparison to be explained.

3. What are some applications of a graph?

In our routine life, we see two quantities that are interlinked i.e., the change in one quantity goes along by a change in the other quantity.

4. Can you please quote a daily life example of application of a graph?

Take for example: the more hours an employee works overtime, the more bonus they get. More the rice we buy, the more we have to pay.

In the first case, the amount of bonus is called the dependent variable and the number of hours is termed as the independent variable (or control variable).

Likewise, in the second case, the sum of money paid to buy rice is the dependent variable whereas the amount of rice is the independent variable. Thus, the relationship between the dependent and independent variables can be shown by a graph.

5. What does Introduction to Graphs Class 8 Notes cover, and how can it help in understanding the chapter better?

The Introduction to Graphs Class 8 Notes covers the basics of graphs in a simple way. It includes explanations, examples, and important points to help you understand the chapter better. The free PDF download ensures easy access, making learning about graphs more convenient for Class 8 students.