Questions: What table do we make to display two categorical variables at the same time? Contingency table T table Z table Frequency table

Transcript text: What table do we make to display two categorical variables at the same time? Contingency table T table $Z$ table Frequency table

Solution

Solution Steps

To display two categorical variables at the same time, we use a contingency table. This table helps in understanding the relationship between the two variables by showing the frequency distribution of their combinations.

Step 1: Data Representation

We have two categorical variables: $ \text{Variable1} $ and $ \text{Variable2} $. The data consists of the following pairs:

\[ \begin{align_} (1) & \quad (A, X) \\ (2) & \quad (A, Y) \\ (3) & \quad (B, X) \\ (4) & \quad (B, Y) \\ (5) & \quad (C, X) \\ (6) & \quad (C, Y) \\ \end{align_} \]

Step 2: Constructing the Contingency Table

The contingency table displays the frequency of occurrences for each combination of the two variables:

\[ \begin{array}{c|c|c} \text{Variable1} & X & Y \\ \hline A & 1 & 1 \\ B & 1 & 1 \\ C & 1 & 1 \\ \end{array} \]

Step 3: Analyzing the Table

From the table, we can see that each combination of $ \text{Variable1} $ and $ \text{Variable2} $ occurs exactly once. This indicates a uniform distribution across the categories.