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

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