2.1 Tabular and Graphical Representations for the Distributions of Two Categorical Variables

Compare tabular and graphical representations for the relationship between two categorical variables.

• A two-way table, also called a contingency table, can be used to summarize and compare data for two categorical variables. The entries in the cells of the table can be frequencies (i.e., counts) or relative frequencies (i.e., proportions).
• Side-by-side bar charts, segmented bar charts, and mosaic plots are examples of graphs used to display the relationship between two categorical variables. In these graphs, the frequency or relative frequency of each category, or level, of one of the categorical variables is displayed for each category of the other categorical variable.
• Graphical representations of two categorical variables can be used to compare the relationship of one categorical variable across the levels of the other categorical variable and determine whether the two variables are associated.

Justify a claim using tabular and graphical representations for the distributions of two categorical variables.

• Tabular and graphical representations for the distributions of two categorical variables may reveal information that can be used to justify claims about the variable in context. Probability, Random Variables, and Probability Distributions UNIT 2