## Line Graph

We can represent the data in a line graph in which the frequencies are along the y-axis and the variables are along the x-axis. We can choose a suitable scale so that the entire data is accommodated in the space available.

The line graph is used to show the changes and the relationship between quantities.

### Workout Examples

Example 1: Show the following information in a line graph.

 Class 6 7 8 9 10 No. of students 125 160 180 75 50

Solution: Line graph,

Example 2: Study the following line graph and answer the following questions.

i.         Find the number of students in class IX.
ii.       What is the difference between number of students in class X and XII?
iii.      Which class has there maximum number of students?
iv.      Which class has the minimum number of students?
v.       Find the total number of students from class VI to XII.

Solution: From of above line graph,

i.         Find the number of students in class IX.

Solution
The number of students in class IX = 12

ii.       What is the difference between number of students in class X and XII?

Solution:
The number of students in class X = 12
The number of students in class X = 16
Difference = 16 – 12 =4

iii.      Which class has there maximum number of students?

Solution:
Class XII has maximum number of students.

iv.      Which class has the minimum number of students?

Solution:
Class CI has minimum number of students.

v.       Find the total number of students from class VI to XII.

Solution:
Total no. of students = 6 + 12 + 10 + 12 + 12 + 14 + 16
= 82

You can comment your questions or problems regarding the line graphs here.