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Home
Maths
Line Graphs

Line Graphs

Line Graphs are the most effective and savvy tool for transforming raw data into a visual representation. Using the line graphs to connect different data points allows an easy tracking of changes, trends, and patterns over time. They are useful in Analysing changes in stock prices over time, taking the average temperature of a week, or just visually representing different variables. These can all be done with these line graph diagrams.

Line Graphs

1.0What is a Line Graph?

A line graph is a type of chart which represents the data in the form of lines over a continuous interval. It displays data pairs on a coordinate plane, where every point represents a specific value for both the axes, namely the X and Y axes. These points are connected by straight lines. The y-axis in a line graph is usually a dependent variable that changes with respect to the x-axis, an independent variable. 

2.0Key Components of a Line Graph

Although a simple chart, a Line graph does contain various components that need to be specified precisely. These components are: 

  1. Title: A title describes the initial idea of what category or data is described in the main graph. 
  2. X-axis: It is the horizontal line that generally represents the independent variable, that is, time or categories. 
  3. Y-axis: The vertical line in the graph is known as the y-axis which most commonly represents any dependent variable. 
  4. Data Points: The actual data points or numbers for which the data is being graphically represented. 
  5. Scale: The scale is the constant interval or difference that is used between each data point. 

3.0How to Generate a Line Graph?

Generating a line graph is not a tough task just follow these five easy steps to make a line graph: 

  • Collect Data: Gather and analyse the information on which the graph needs to be plotted.
  • Set the Axes: After analysing the data, assign each axes to their respective variables. In simple words, set which variable goes onto the X-axis and which variable goes onto the Y-axis. 
  • Plot the Data Points: For each data point, find the X-coordinate and a Y-coordinate, then plot the graphs.
  • Connect Data Points: Draw straight lines connecting between the points to visualise the given trend.
  • Add Labels and Title: Give a title related to the information and labels for the graph to interpret it better. 

Generate a Line Graph

4.0Types of Line Graph

The line graphs can be divided into three types which include: 

  • Simple Line Graph: A line graph which includes the use of only one line for the depiction of data is known as a simple line graph. 

Simple Line Graph

Multiple Line Graph: This is the graph which uses multiple lines to compare the stats between two or more data sets. For example, comparing the sales of two stores over a month. 

Multiple Line Graph

Compound Line Graph: If the data given can be further divided into two or more types of data then this type of graph is used. In simple words, the total data is subdivided into smaller parts. 

Compound Line Graph

5.0Uses of Line Graphs

The line graphs are quite useful for a visual representation of: 

  1. Monitoring temperature fluctuations over a period of time or comparing the temperature between two different cities. 
  2. Population growth or decline in a certain city or over a period of time. 
  3. Comparing the stats of two or more students in a class test or annual exam. 
  4. Tracking the status of health, including blood pressure, cholesterol levels, or heart rate over a certain time. 
  5. Depiction of economic inflation or deflation in a country, such as GDP growth or taxation. 
  6. Comparing stats of two or more teams in a match of a certain sport. 

6.0Example Line Graph 

Problem 1: A city wants to track the average temperature changes over the months of a year. The temperature data for each month is as follows:

Month

Temperature

January

5

February

7

March

10

April

14

May

18

June

21

July

25

August

24

September

20

October

15

November

10

December

6

Solution: 

Example Line Graph

Problem 2: In an ODI cricket match between India and Australia, the run scored by both teams in the whole match according to over is compared as shown in the table.

Overs 

India Runs

Australia Runs

0-10

75

72

10-20

86

89

20-30

78

84

30-40

95

65

40-50

109

97

Make a Multiple line graph for the information given. 

Solution: 

Example Line Graph


Problem 3: The following table shows the monthly sales data (in thousands) for three products, Product A, Product B, and Product C, over 6 months:

Month

Product A 

Product B

Product C

January

30

20

10

February

40

35

25

March

55

50

45

April

70

65

60

May

80

85

75

June

95

90

100

Construct a line graph for a visual representation of the following data. 

Solution: 

Example of line graph


Table of Contents


  • 1.0What is a Line Graph?
  • 2.0Key Components of a Line Graph
  • 3.0How to Generate a Line Graph?
  • 4.0Types of Line Graph
  • 5.0Uses of Line Graphs
  • 6.0Example Line Graph 

Frequently Asked Questions

Yes, line graphs can also represent data that isn’t based on time, such as categories or different variables.

Line graphs offer clear visualisation of trends, making it easy to compare multiple data sets and identify changes over time.

Analyse a line graph by observing the direction of the line and identifying peaks, valleys, and trends.

A simple line graph represents one data set, while a compound line graph compares multiple data sets on the same graph.

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