Understanding Math: Identifying Continuous Variables and Their Characteristics in Real-Life Scenarios

continuous variable, types of data3. To monitor campus security, the campus police office is taking a survey of the number ofstudents in a parking lot each 30 minutes of a 24-hour period with the goal of determining whenpatrols of the lot would serve the most students. If X is the number of students in the lot eachperiod of time, then X is an example of. a) a categorical variable.. b) a discrete variable.. c) a continuous variable.. d) a statistic.

X, the number of students in the parking lot each 30 minutes, is an example of a continuous variable

X, the number of students in the parking lot each 30 minutes, is an example of a continuous variable.

A continuous variable is a type of quantitative data that can take on any value within a certain range, and it can be measured using decimal or fractional values. In this scenario, the number of students in the parking lot can range from 0 to potentially a very high number, and it is not restricted to specific whole numbers or categories.

On the other hand, a categorical variable (option a) is a type of qualitative data where the observations can be categorized into distinct groups or categories, such as hair color (e.g., black, brown, blonde).

A discrete variable (option b) is a type of quantitative data that can only take on specific values, usually whole numbers, with no intermediate values between them. Examples of discrete variables include the number of siblings someone has or the number of cars in a parking lot (where the count can only be a whole number).

X is not considered a statistic (option d) in this context. A statistic typically refers to a numerical measure or summary derived from a sample of data, whereas here X represents the actual values of the number of students in the parking lot at each period of time.

Therefore, the correct answer is c) a continuous variable.

More Answers: