## two-way table

### A two-way table is a visual representation of data that displays information about two categorical variables

A two-way table is a visual representation of data that displays information about two categorical variables. It is also known as a contingency table or a cross-tabulation table.

The two variables are typically listed as rows and columns in the table, and the cells of the table contain the frequencies, counts, or percentages of observations that fall into each combination of the variables.

For example, let’s say we want to study the relationship between gender and favorite color among a group of people. We can create a two-way table that lists gender as one variable (rows) and favorite color as the other variable (columns). The cells of the table will show the count or percentage of individuals who fall into each combination of gender and favorite color.

The two-way table allows us to see patterns and associations between the variables. We can analyze the data to determine if there are any relationships or trends between gender and favorite color.

Here is an example of a simplified two-way table:

| Blue | Red | Green |

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Male | 20 | 15 | 5 |

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Female | 10 | 25 | 10 |

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In the table above, we can see that among males, 20 chose blue as their favorite color, 15 chose red, and 5 chose green. Among females, 10 chose blue, 25 chose red, and 10 chose green.

By analyzing the two-way table, we can make observations and draw conclusions about the relationship between gender and favorite color. For example, we can see that more females chose red as their favorite color compared to males.

##### More Answers:

Understanding the Associative Property in Math | How Grouping Numbers and Operations Doesn’t Affect the OutcomeUnderstanding Types of Variables in Statistics | Categorical and Numerical Variables Explained

Understanding Categorical Variables | Types, Analysis, and Importance in Data Interpretation