Downloadable versions of this lesson are available in the following formats:
(RTF (text), PDF)
In this lesson, students will investigate the relationship between a person’s sex (male or female) and their average employment income. Students will retrieve data from Statistics Canada’s E-STAT database and create scatter plots. Then they will analyse the similarities and differences between two scatter plots (comparing data for provinces/territories and large urban centres) and use informal methods to determine the equations of lines of best fit.
Contributors: David Reed, Queen’s University; Jennifer Hall and Joel Yan, Statistics Canada
Grade 9
Mathematics
One to two 75 minute periods
Computers with Internet access
Computer projector
Student instructions
Student worksheet
Student worksheet – Teacher version
Teacher resource – E-STAT graphs
Articles from The Daily
Articles from Perspectives on Labour and Income
Linear equation in slope-intercept (y = mx + b) form
Slope equation
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Scatter plots
Line of best fit
Basic knowledge of E-STAT
Have students import the data into a statistical software program or graphing calculator in order to create a scatter plot and determine a line of best fit. Students can then compare the software-generated line of best fit with their estimated line of best fit and discuss any differences.
Have students repeat this process to create a scatter plot for a specific large urban centre near their home. (In Part 2 of the E-STAT instructions, under 5) On the Selection page, students would select a nearby urban centre for Part 1: Select a geographic region). Students can then compare this software-generated scatter plot to the other scatter plots they created previously. If there are any differences, they can research reasons for the differences.
Have students compare the data on employment income from the 2001, 1996, and/or 1991 censuses with the data from the 2006 Census. If there are differences in the scatter plots, the students can research reasons for the differences. (See Teacher resource for graphs of the 2001, 1996, and 1991 Census data.)
Have students read and summarize the findings of the articles listed under ‘Resources’.
Have students create a scatter plot using data on another topic of their choice, selected from any of the census years available in E-STAT. Again, ask students to find the equation of the line of best fit and to describe any trends and relationships in the data.
Students’ work habits and computer skills can be assessed informally throughout this activity. They can be assessed more formally through the worksheet, using a marking scheme of the teacher’s choice.