Suppose we have data on 200 students regarding their gender and whether or not they wear backpacks to school. The data is summarized in the two-way table below.
2. Fill in the remaining numbers in the table.
Backpack: Yes
Backpack: No
Male
30
60
Female
30
80
Different ways to summarize the data from a two way table
3. A _______ distribution summarizes the data from one variable only.
4. Find the marginal distribution of gender:
5. Interpretation:
6. Find the marginal distribution of backpack use:
7. Interpretation:
8. Note: the sum of all the percentages in a marginal distribution equals ____.
Graphing a marginal distribution:
9. Graphical versions of a marginal distribution can be done using a _________ or a __________ showing the percentage in each group.
10. Graph the marginal distribution of gender using a pie chart:
11. Graph the marginal distribution of backpack use using a bar graph:
How do we look for relationships between two categorical variables?
12. Big Idea: Break down the data into groups and compare the results of each group.
This involves finding a ___________distribution.
13. To look for relationships between two variables you can find the two ______________ distributions and ___________ them to each other.
14. If the results of each group are the same, then the two variables are / are not related. (pick one).
15. Find the conditional distribution of backpack use for the males:
16. **Another way of describing the above distribution is to say this is the conditional distribution of ____________ given __________.**
17. Interpretation of the previous graph:
18. Find the conditional distribution of backpack use given female:
19. Interpretation:
Making the comparisons:
20. You can look for relationships between two variables by comparing their __________distributions.
21.