Let's analyze the question and provide detailed solutions.

The task is to classify each variable as Categorical or Quantitative:

1. The distance a person drives to work

   • This is a measurable, numerical value (e.g., "10 miles").
   • Answer: Quantitative

2. A person's area code

   • Although it consists of numbers, area codes are used to categorize locations, not for computation.
   • Answer: Categorical

3. The gas mileage of a person's car

   • Gas mileage (e.g., "30 miles per gallon") is a numerical measurement.
   • Answer: Quantitative

4. The color of a person's car

   • This describes a characteristic (e.g., "red" or "blue"), which categorizes the car.
   • Answer: Categorical

Summary of Answers:

• Distance a person drives to work: Quantitative
• Person's area code: Categorical
• Gas mileage of a person's car: Quantitative
• Color of a person's car: Categorical

Let me know if you would like further clarification!

Related Questions:

1. What is the difference between a categorical and a quantitative variable?
2. Can a variable be both categorical and quantitative depending on the context?
3. How is data from categorical variables typically visualized (e.g., bar charts, pie charts)?
4. What statistical methods are used for analyzing quantitative variables?
5. Why is it important to distinguish between categorical and quantitative variables in research?

Tip:

When unsure, ask: "Does this variable involve a measurable number or does it describe a quality?" This can help distinguish the two types effectively.