Data values were gathered from residents of several small towns in the United States.

Vacation Destinations

\begin{tabular}{|l|c|c|}
\hline & Northern State & Southern State \\
\hline Mountains & 12 & 150 \\
\hline Beach & 102 & 67 \\
\hline Cruise & 164 & 32 \\
\hline
\end{tabular}

What type of data values are represented?

A. Univariate categorical

B. Bivariate categorical

C. Univariate numerical

D. Bivariate numerical



Answer :

To determine the type of data values represented, let's break down the information given:

1. Categories Defined:
- Vacation Destinations: Mountains, Beach, and Cruise.
- Locations: Northern State and Southern State.

2. Nature of Variables:
- The first variable, Vacation Destinations, has three categories: Mountains, Beach, and Cruise.
- The second variable, Locations, has two categories: Northern State and Southern State.

Thus, we have two categorical variables:
- One for the type of vacation destinations (Mountains, Beach, Cruise).
- Another for the location (Northern State, Southern State).

3. Type of Data:
- Because both variables—vacation destinations and locations—are categorical and we are considering the combination of these two categorical variables (i.e., each entry in the table corresponds to a combination of one type of vacation destination and one location), the data is termed bivariate categorical.

Therefore, the type of data values represented in the table is:

Bivariate categorical

This aligns with our understanding of combining two categorical variables and cross-tabulating them in a contingency table, as seen in the given data presentation.