Line Graph

Bar graphs are used to compare changes between different groups. Line graphs are used to compare two variables.

The data which changes over a period of time can be displayed through a line graph.

In line graph:

● Points are plotted on the graph related to two variables

● Points are joined by the line segments.

How to Construct a Line Graph?

Steps of construction of line graph:

On a graph, draw two lines perpendicular to each other intersecting at O. The horizontal line is x-axis and vertical line is y-axis. Mark points at equal intervals along x-axis and write the names of the data items whose values are to be marked.

Along the y-axis, choose an appropriate scale considering the given values.

Now, make the points

Join each point with the successive point using a ruler. Thus, a line graph is obtained

Solve Examples on Line Graph:

For example a line graph given below shows how Elizabeth's height changes as she grows.

1. Given below is a line graph showing the height changes in Elizabeth as she grows. Observe the graph and answer the questions below.

$Line Graph$

(i) What was the height of Elizabeth at 8 years?

Answer: 65 inches

(ii) What was the height of Elizabeth at 6 years?

Answer: 50 inches

(iii) What was the height of Elizabeth at 2 years?

Answer: 35 inches

(iv) How much has Elizabeth grown from 2 to 8 years?

Answer: 30 inches

(v) When was Elizabeth 35 inches tall?

Answer: 2 years.

2. The following table gives the information of the sum scored by McKay in 10 matches. Represent this information using line graph.

Match	1	2	3	4	5	6	7	8	9	10
Runs Scored	80	30	50	90	40	60	75	20	15	90

$Line Graph$

3. Mobile phones sold by a shop in a certain week are as follows:

Days	Mon.	Tues.	Wed.	Thurs.	Fri.	Sat.
No. of Mobile Phones Sold	20	16	12	24	4	10

Represent the above data by a line graph.

$Line Graph Picture$

Questions and Answers on Line Graph:

1. Given below is a line graph showing the sale of books in different months.

$Problems on Line Graph$

Observe the graph and answer the questions below.

(i) How many books are sold in the month of July?

(ii) In which of the months maximum numbers of books were sold?

(iii) In which of the months minimum numbers of books were sold?

(iv) How many books were sold in the first 3 months of the year?

(v) What was the decrease in the sale from May to June?

Answers:

(i) 30

(ii) May

(iii) January

(iv) 105

(v) 25

You might like these

Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern

Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features. All mangoes have similar features and shapes. Leaves of the same tree have similar pattern of
Data Handling | Collection of Objects | Information Collected | Data

We have learnt, that a collection of objects can be stored out based on their color, shape, size or any other common thing among them. We can organise all the information in a table to understand how many of each item is there in a collection. Information collected is called
Examples of Pictographs |Pictorial Representation|Pictograph Questions

Some sample examples of pictographs or pictorial representation are shown, how the objects are used to give information regarding mathematical data. Read the pictograph and gather the information
Tally Marks | Tally Mark Represents Frequency | Use of Tally Marks

We will discuss here how to use Tally marks. To count the number of times a value of the variable appears in a collection of data, we use tally mark ( / ). Thus tally mark represents frequency. Observe the tally marks and the corresponding frequencies:
Pictographs | Pictorial Representation | Pictorial Symbols | Symbols

In pictographs we learnt to recognize different things in our surroundings and to express the given information through pictorial symbols of different objects.
Worksheet on Data Handling | Questions on Handling Data |Grouping Data

In math practice worksheet on data handling we will solve numerous types of questions on handling data, frequency distribution and on grouping data. Questions on frequency distribution
Worksheet on Pictographs | Picture Graph Worksheets | Pictograph Works

In worksheet on pictographs, all grade students can practice the questions on data handling. We can present the given information in many ways. In pictograph the information is presented by using a picture as symbol. A pictograph has a title and a key.
Bar Graph | Bar Chart | Interpret Bar Graphs | Represent the Data

We learn how to represent the data on the bar graph. Data can be represented by bars (like rectangle) whose lengths represent numerical values. One can use horizontal or vertical bars. Instead of rectangles one way even use line segments in such graphs.
Worksheet on Bar Graph | Bar Graph Home Work | Questions on Bar Graph

In worksheet on bar graph we will practice different questions on representing the bar graph from the following data given in the questions. 1. The number of bed-sheets manufactured by a factory during five consecutive weeks is given below.
Construction of Bar Graphs | Examples on Construction of Column Graph

Now we will discuss about the construction of bar graphs or column graph. In brief let us recall about, what is bar graph? Bar graph is the simplest way to represent a data. In consists of rectangular bars of equal width. The space between the two consecutive bars must be
Worksheet on Bar Graphs | Bar Graphs or Column Graphs | Graphing Bar

In math worksheet on bar graphs students can practice the questions on how to make and read bar graphs or column graphs. Test your knowledge by practicing this graphing worksheet where we will
Represent Data on a Bar Graph | Constructing Bar Graphs | Horizontal

We will learn how to represent data on a bar graph. We have seen how pictograph represents a pattern of information through numerical data in general. But such representation takes
5th Grade Data Handling Worksheet | Double Bar graph | Line Graph

In 5th grade data handling worksheet, students can practice the questions on bar graph, line graph and pie chart. We represent the data in many ways. A graph is a pictorial representation of information. In pictograph the information is presented by using a picture as symbol
Construction of Pie Chart | Steps of Construction | Solved Examples

The pie chart is a pictorial representation of data relative to a whole. Each portion in the circle represent an element of the collected data. The pie chart represents the composition of various elements in a whole. The total value of the pie chart is always 100%.
Double Bar Graph | Bar Graph |Solved Examples | Construction

Double bar Graph helps us to compare two data groups. For example the graph given below compares the number of boys and girls in classes I – V. Solve examples on Double bar Graph Observe the graph and answer the questions given below. Answer the given questions