How does a cross tabulation show the relationship between two variables?

A cross tabulation, also known as a contingency table, is a two-way table used to analyze the relationship between two variables. It serves as a two-variable analogue to a frequency distribution.12

The table is structured so that the rows represent the classes of one variable, while the columns represent the classes of a second variable. Each cell within the table contains the count of data values that correspond to the intersection of a specific row category and a specific column category.2

By organizing data in this manner, researchers can observe how the distribution of one variable changes across the categories of another. For example, by placing gender in the rows and age groups in the columns, one can easily compare the number of individuals in each age bracket for both males and females, thereby revealing potential patterns or correlations between the two variables.2