a data set lists apartments available for students to rent. Information provided includes the monthly rent, whether or not cable is included free of charge, whether or not pets are allowed, the number of bedrooms, and the distance to the campus. Describe the cases in the data set, give the number of variables, and specify whether each variable is categorical or quantitative.

rent - quantitative

cable - categorical
pets - categorical
bedrooms - quantitative
distance - quantitative

quantitative

The data set you described contains information about apartments available for students to rent. There are several variables in this data set.

1. Monthly Rent: This variable represents the cost of renting each apartment per month. It is a quantitative variable.

2. Cable (Included): This variable indicates whether cable is included in the rent or not. It is a categorical variable with two possible values: "Yes" or "No".

3. Pets Allowed: This variable specifies whether pets are allowed in the apartments. It is a categorical variable with two possible values: "Yes" or "No".

4. Number of Bedrooms: This variable represents the number of bedrooms in each apartment. It is a quantitative variable.

5. Distance to Campus: This variable indicates the distance between the apartment and the campus. It is a quantitative variable.

In summary, the data set consists of five variables: Monthly Rent (quantitative), Cable (categorical), Pets Allowed (categorical), Number of Bedrooms (quantitative), and Distance to Campus (quantitative).

To describe the cases in the data set, we need to know how the data is organized. If each row in the data set represents a single apartment listing, then each case would represent an individual apartment. The number of cases would be the total number of apartment listings in the data set.

The variables in the data set are as follows:

1. Monthly rent: This variable represents the cost of renting the apartment per month. It is a quantitative variable since it represents a numerical value.

2. Cable included: This variable indicates whether or not cable is included free of charge in the rental. It is a categorical variable since it has only two possible values: yes or no.

3. Pets allowed: This variable indicates whether or not pets are allowed in the apartment. It is also a categorical variable with two possible values: yes or no.

4. Number of bedrooms: This variable represents the number of bedrooms in each apartment. It is a quantitative variable since it represents a numerical value.

5. Distance to campus: This variable represents the distance of each apartment from the campus. It is a quantitative variable since it represents a numerical value, such as in miles or kilometers.

Therefore, we have a total of five variables in the data set: monthly rent (quantitative), cable included (categorical), pets allowed (categorical), number of bedrooms (quantitative), and distance to campus (quantitative).