G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

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Year 8 Interactive Maths - Second Edition


Line Graphs

A line graph is often used to represent a set of data values in which a quantity varies with time.  These graphs are useful for finding trends.  That is, finding a general pattern in data sets including temperature, sales, employment, company profit or cost over a period of time.


Example 10

A cylinder of liquid was heated.  Its temperature was recorded at ten-minute intervals as shown in the following table.

a.  Draw a line graph to represent this information.
b.  Estimate the temperature of the cylinder after 25 minutes of heating.

Solution:

b.  The estimated temperature after 25 minutes of heating is 52°C.


Choosing an Appropriate Graph

To choose an appropriate statistical graph, consider the set of data values.  In general, use the following guidelines:

  • Use a bar chart if you are not looking for trends (or patterns) over time; and the items (or categories) are not parts of a whole.
  • Use a pie chart if you need to compare different parts of a whole, there is no time involved and there are not too many items (or categories).
  • Use a line graph if you need to see how a quantity has changed over time.  Line graphs enable us to find trends (or patterns) over time.

Key Terms

line graph, trend

 

Study Another Topic in Chapter 17: Statistics

Data ] Mean, Median and Mode ] Frequency and Frequency Tables ] Frequency Tables and the Mean ] Displaying Data ] Pie Charts ] [ Line Graphs ] Problem Solving Unit ] Symbols ] Index ]

 

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