Class 8 Maths Chapter 15 Introduction to Graphs

Class 8 Maths Syllabus
Syllabus of Class 8 Mathematics
1.Rational Numbers
2.Linear Equations in one variable
3.Understanding Quadrilaterals
4.Practical Geometry
5.Data Handling
6.Squares Square Roots
7.Cube and Cube Roots
8.Comparing Quantities
9.Algebraic Expressions and Identities
10.Visualising Solid Shapes
11.Mensuration
12.Exponents and Powers
13.Direct and Inverse Properties
14.Factorisation
15.Introduction to Graph
16.Playing with Numbers

When the data is presented in a graphical format, it is easier to understand:

  • A bar graph is employed to show comparisons between categories
  • A pie graph is employed to compare portions of a whole
  • A bar graph where data is displayed in intervals is called a histogram
  • A graph that depicts data that is constantly changing throughout time is called a line graph
  • A graph that is made up of a single continuous line is called a linear graph 
  • The xx-coordinate and yy-coordinate is required to fix a point on the graph sheet.
  • A graph depicts the relationship between the dependent and independent variables.

A Bar Graph

  • It is a graphical representation of numerical data formed by uniformly sized bars, in the shape of rectangles, with equal spacing. 
  • The Length or height of each bar denotes the provided number.

A Pie Graph

  • A pie graph is a visual depiction of how parts of a whole are in comparison to each other. 
  • The sectors of the circle represent the numerous observations or components.

Histogram

A histogram is a form of bar diagram where the class intervals are shown on the horizontal axis, and the heights of the bars (rectangles) represent the frequency of the class interval. No gap exists between the bars because a gap does not separate the class intervals.

Linear Graph

A line graph is a graph where all the line segments form one continuous line.

Coordinates

It is an ordered pair of numbers that represents a point on the Cartesian plane.

Ordered Pair

It is a set of numbers in a predetermined arrangement.Graphs are simply 

visual illustrations of the collected data.Graphical representation allows us to demonstrate the trend of the data . These graphs are applied in different fields, and it is of great help to people.Graphs can be of various types, and each of these serves a specific function.


Points to Remember for Introduction to Graphs

In these class 8 chapter 15 notes, these are the points that need to be remembered.

  • The x-coordinate of a given point is the distance from the y-axis.
  • The y-coordinate of a given point is the distance from the x-axis.
  • The origin coordinates in a graph are valued at (0, 0).
  • The x-coordinate of each point lying on the y-axis is 0
  • The y-coordinate of each point lying on the x-axis is 0
  • A linear graph is a line graph that’s completely an unbroken line.
  • A bar graph helps to show and express the correlation between the categories.
  • A pie graph helps to measure parts of a whole.
  • A line graph helps to show data that frequently changes over periods of time.
  • A histogram is a class of graphs that shows data at intervals.
  • We require an x-coordinate and y-coordinate to fix a point on the graph.
  • A graph helps in displaying the relationship between a dependent variable and an independent variable.
  • Bar Graph-It is a kind of graph that is created to show comparisons between different categories. In the Bar graph, bars of uniform width is used to show the different quantities, and their height is kept equal to the values they represent.
  • Double Bar Graph- This is similar to the bar graph, but the two types of data are shown correspondingly. This form of a graph is useful for displaying a comparison between two data.
  • Pie Chart- Pie chart is used to represent the given data in a circular form. It is also referred to as the Circle Graph. When the data is shown in a circular form, it is referred to as a pie chart. A pie chart shows the part of a whole.
  • Line Graph- The line graph can be used when changes continuously can be seen over a given period of time.
  • Linear Graphs- In a Linear Graph, all the line segments form one continuous line.
  • Histogram-We can form a histogram when we have a date that is grouped together in class intervals. It is a type of bar graph. The main difference between a histogram and a bar graph is that there is no gap between the bars, as this is a graph of continuous data.

The above introduction to graphs class 8 notes Pdf free download available at will help you to understand the graphs better and the suitable ways to use them. In case of any questions related to Class 8 Mathematics revision notes Chapter 15, drop a comment on the website and have your query resolved at the earliest. 

The x-coordinate of a point shows the distance we have to cover from origin O to left or right along the x-axis. At the same time, the y-coordinate of a point displays the distance we have to cover below or above O along the y-axis.



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