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Math Statistics: Line Graphs




 

In these lessons, we will learn

  • how to create line graphs
  • how to interpret line graphs
Related Topics: More Statistics Lessons

We may represent data using a line graph. A line graph is formed by joining the points given by the data with straight lines.

A line graph is usually used to show the change of information over a period of time. This means that the horizontal axis is usually a time scale, for example minutes, days, months or years.

Example:

The table shows the daily earnings of a store for five days.

Day

Mon

Tues

Wed

Thurs

Fri

Earnings

300

450

200

400

650

a) Construct a line graph for the frequency table.

b) On which days were the earnings above $ 400

Solution:

a)

b) The earnings were above $ 400 on Tuesday and Friday.




Example:

The following line graph shows the total number of animals in a zoo.

a) In which year did the zoo have the largest number of animals?

b) What is the percentage increase of animals in the zoo from 1999 to 2001?

Solution:

a) The zoo had the largest number of animals in 2002

b) The percentage increase of animals in the zoo from 1999 to 2001 is

Multiple sets of related data can also be represented on one line graph.



 

Example:

The table shows the daily sales in RM of different categories of items for five days.

Day

Mon

Tues

Wed

Thurs

Fri

Drinks

300

450

150

400

650

Food

400

500

350

300

500

a) Construct a line graph for the frequency table.

b) On what days were the sales for drinks better than the sales for food?

c) What is the total earnings for food and drinks on Wednesday?

Solution:

a)


b) Sales for drinks were better than sales for food on Thursday and Friday

c) Total earnings for food and drinks on Wednesday is

150 + 350 = $ 500



The following video shows how to create line graphs using given data, and answer questions based on given line graphs.

How to read and interpret line graphs. Also contains an example of seeing a trend and extrapolating the data.


 
Learn how to interpret line graphs.
Line Graphs
This video describes why we use line graphs and how to read and interpret them.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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