IM 8.6.10 Lesson: Using Data Displays to Find Associations
Here is a two-way table that gives some results from the survey. Complete the table, assuming that all students answered both questions.
To the nearest percentage point, what percentage of students who play a sport don’t play a musical instrument?
To the nearest percentage point, what percentage of students who don’t play a sport also don’t play a musical instrument?
Your teacher will give you a two-way table about the number of people in your class who play sports or musical instruments. Complete this table to make a two-way table for the data from earlier. The table will show relative frequencies by row.
Make a segmented bar graph for the table. Use one bar of the graph for each row of the table.
Complete the table to make a two-way table for the data from earlier. The table will show relative frequencies by column.
Using the values in the table, make a segmented bar graph. Use one bar of the graph for each column of the table.
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.
An eraser factory has five machines. One machine makes the eraser shapes. Then each shape goes through the red machine, blue machine, yellow machine, or green machine to have a side colored.
The manager notices that an uncolored side of some erasers is flawed at the end of the process and wants to know which machine needs to be fixed: the shape machine or some of the color machines. The manager collected data on the number of flawed and unflawed erasers of each color.
Work with a partner. Each of you should make one segmented bar graph for the data in the table. One segmented bar graph should have a bar for each row of the table. The other segmented bar graph should have one bar for each column of the table.
Are the flawed erasers associated with certain colors? If so, which colors? Explain your reasoning.
Based on the federal budgets for 2009, the table shows where some of the federal money was expected to go. The values are in billions of U.S. Dollars.
Why would a segmented bar graph be more useful than the table of data to see any associations between the country and where the money is spent?
Create a segmented bar graph that represents the data from the table.
Is there an association between the country’s budget and their spending in these areas? Explain your reasoning.