M.A18.45

Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. (e.g., Collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?)

Example Problems
Here is a table giving the number of neighborhood adults by bike usage and helmet use:
Helmet useRides bikeDoes not ride bike
Always4510
Not always1530


Find the
marginal distribution of bike usage in counts.
Rides bike =
Here is a table giving the number of neighborhood adults by bike usage and helmet use:

Helmet useRides bikeDoes not ride bike
Always4510
Not always1530


Find the
marginal distribution of bike usage in counts.
Does not ride bike =
Here is a table classifying 360 employees by department and work location:
DepartmentRemoteOn-site
Sales4060
Engineering8555
Support20100


Find the
marginal distribution of department in counts.
Sales =
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