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In this problem, you're asked to classify a variable as discrete. Discrete variables are those that take on specific, countable values (often integers), whereas continuous variables can take on any value within a range, including decimals or fractions.

Let's go through each option:

- **A. Total cost of textbooks**: This is a continuous variable because the cost can vary and take any value within a range.
- **B. Monthly rent for student accommodation**: This is also a continuous variable, as rent can be any value, including decimals.
- **C. Annual tuition fees**: Similar to the rent and cost, tuition can take any value within a range, making it continuous.
- **D. Commuting distance to university (in kilometres)**: This is continuous because the distance can be any value, not just whole numbers.
- **E. Number of textbooks purchased**: This is a **discrete** variable, as it involves counting whole books (e.g., 1 book, 2 books, etc.).

Thus, the correct answer is **E. Number of textbooks purchased**.

Would you like further explanation or have any other questions?

Here are some related questions for further practice:

1. What is the difference between discrete and continuous variables?
2. Can a variable be both discrete and continuous in some contexts?
3. How do we typically handle continuous variables in statistical analysis?
4. Can you think of another example of a discrete variable besides "number of textbooks"?
5. How might you graphically represent discrete and continuous variables differently?

**Tip**: Discrete variables often involve counting items, while continuous variables involve measuring quantities.

Which variable is discrete from a list of numerical variables in a university survey?

Learn how to classify numerical variables from a university student survey as discrete or continuous. This problem involves understanding the difference between discrete variables, which are countable, and continuous variables, which can take any value within a range. Suitable for students in Grades 9-12.

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