##
**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*

*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.*

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