1. The problem asks to explain the difference between a discrete variable and a categorical variable, and to identify examples of each. 2. A discrete variable is a numerical variable that can take on countable values, often integers, and usually has a logical order. For example, the number of goals in a soccer game is discrete because you can count the goals (0, 1, 2, ...). 3. A categorical variable represents categories or groups that do not have a numerical order. For example, car brands or a person's gender are categories without inherent numerical meaning or order. 4. Examples of discrete variables from the list are: - The population of a city (countable number of people) - The number of goals in a soccer game - Score on the SAT (numerical score) 5. Examples of categorical variables from the list are: - Car brands - A person's gender - Political affiliation - College majors 6. The price of a slice of pizza is a numerical continuous variable, not discrete or categorical, because it can take any value within a range. Final answer: - Discrete variables are countable numerical values with logical order. - Categorical variables are categories without numerical order. - Discrete examples: population of a city, number of goals in a soccer game, SAT score. - Categorical examples: car brands, a person's gender, political affiliation, college majors.