https://file.aiquickdraw.com/mathbot/file/1730074578021kbrx0x6o.jpg

Let’s go through each question based on the information in the table provided.

### Question 1:
The question asks about the types of variables for **plays sport** and **sex**.

- **Plays sport**: This is a categorical variable with two categories (Yes/No).
- **Sex**: This is also a categorical variable with two categories (Male/Female).

**Answer**: The correct answer is **A (both categorical variables)**.

---

### Question 2:
The question asks for the number of females who do not play sport.

- From the table, under "No" and "Female," the value is **96**.

**Answer**: The correct answer is **D (96)**.

---

### Question 3:
The question asks for the percentage of males who do not play sport.

1. The total number of males is **102**.
2. The number of males who do not play sport is **34**.
3. To find the percentage:
   \[
   \frac{34}{102} \times 100 = 33.3\%
   \]

**Answer**: The correct answer is **B (33.3%)**.

---

### Question 4:
The question asks why **plays sport** and **sex** appear to be associated.

- According to the table:
  - **68 out of 102** males play sport, which is **66.7%**.
  - **79 out of 102** females play sport, which is **77.5%**.
- Since a higher percentage of females play sport compared to males, **there is an association**.

**Answer**: The correct answer is **C (a higher percentage of females play sport compared to males)**.

---

Would you like further explanations or details on these solutions?

### Related Questions:
1. How can we identify categorical and numerical variables in general?
2. What are some methods for determining associations between categorical variables?
3. How do we calculate percentages when given raw data in frequency tables?
4. Why might it be useful to determine associations between variables?
5. How can the concept of association be applied in other real-life contexts?

#### Tip:
When analyzing tables, always check totals to verify calculations, as it can help identify if data was entered correctly or if there’s any missing information.

Use the information in the frequency table to answer Questions 1 to 4 about the relationship between variables 'Plays sport' and 'Sex.'

Explore how to analyze the association between categorical variables 'Plays sport' and 'Sex' using a frequency table. This problem involves calculating percentages and identifying associations between variables, suitable for students in Grades 10-12.

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