Unit 6, Lesson 10
Using Data Displays to Find Associations
Grade 8
10.2
Activity
Your teacher will give you a two-way table with information about the number of people in your class who play sports or musical instruments.
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Complete this table to make a two-way table for the data from earlier. The table will show relative frequencies by row.
plays instruments does not play instruments row total plays sports 100% does not play sports 100%
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Make a segmented bar graph for the table. Use one bar of the graph for each row of the table.
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Complete the table to make a two-way table for the data from earlier. The table will show relative frequencies by column.
plays instruments does not play instruments plays sports does not play sports column total 100% 100%
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Using the values in the table, make a segmented bar graph. Use one bar of the graph for each column of the table.
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Based on the two-way tables and segmented bar graphs, do you think there is an association between playing a sport and playing a musical instrument? Explain how you know.
Student Lesson Summary
In an earlier lesson, we looked at data on meditation and state of mind in athletes.
Double bar graph in blue and red. Horizontal labeled meditated and did not meditate. Vertical labeled 0 to 50, by 10's. Blue represents calm. Red represents agitated.
Stacked bar graph in blue and red. Horizontal labeled meditated and did not meditate. Vertical labeled 0 to 100, by 25's. Blue represents calm. Red represents agitated.
Is there an association between meditation and state of mind?
The bar graph shows that more athletes were calm than agitated among the group that meditated, and more athletes were agitated than calm among the group that did not.
We can see the proportions of calm meditators and calm non-meditators from the segmented bar graph, which shows that about 66% of athletes who meditated were calm, whereas only about 27% of those who did not meditate were calm.
This does not necessarily mean that meditation causes calmness. It could be the other way around, where calm athletes are more inclined to meditate. However, it does suggest that there is an association between meditating and calmness.
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