Let's analyze the given information step-by-step:
1. Understanding the data:
- For Boys:
- 8 boys have 0 pets.
- 4 boys have 1 pet.
- 3 boys have 2 pets.
- 0 boys have more than 2 pets.
- Total boys: 15.
- For Girls:
- 7 girls have 0 pets.
- 6 girls have 1 pet.
- 5 girls have 2 pets.
- 2 girls have more than 2 pets.
- Total girls: 20.
- Combined:
- 15 students have 0 pets.
- 10 students have 1 pet.
- 8 students have 2 pets.
- 2 students have more than 2 pets.
- Total students: 35.
2. Calculating percentages of boys and girls who do not own a pet:
- Boys who do not own a pet:
- Out of 15 boys, 8 boys do not own a pet.
- Percentage: [tex]\( \frac{8}{15} \times 100 \approx 53.33\% \)[/tex].
- Girls who do not own a pet:
- Out of 20 girls, 7 girls do not own a pet.
- Percentage: [tex]\( \frac{7}{20} \times 100 = 35\% \)[/tex].
3. Number of girls who own 2 or more pets:
- Girls who own 2 pets: 5.
- Girls who own more than 2 pets: 2.
- Total number of girls who own 2 or more pets: [tex]\( 5 + 2 = 7 \)[/tex].
4. Evaluating statements:
- Statement 1: The survey represents quantitative data.
- This is incorrect; the survey represents categorical/qualitative data as it classifies students based on a non-numerical category (number of pets).
- Statement 2: There is a greater percentage of girls who do not own a pet than boys who do not own a pet.
- This is incorrect; the percentage of boys who do not own a pet (53.33%) is greater than the percentage of girls who do not own a pet (35%).
- Statement 3: The total number of girls who own 2 or more pets is 2.
- This statement is incorrect; the total number of girls who own 2 or more pets is 7.
- Statement 4: More girls do not own a pet than do own a pet.
- This is incorrect; among girls, 7 do not own a pet, while [tex]\(6 + 5 + 2 = 13\)[/tex] own at least one pet.
Given all analyzed data:
- The correct statement is none of the above. The provided statements do not match the actual data and calculations.
