1. **State the problem:** We have 61 total responses divided into categories by percentage: 54% medium, 21% loud, 15% quiet, and 10% very quiet. We want to find the actual number of responses in each category. 2. **Formula used:** To find the number of responses in each category, multiply the total number of responses by the percentage (expressed as a decimal) for that category. $$\text{Number in category} = \text{Total responses} \times \frac{\text{Percentage}}{100}$$ 3. **Calculate each category:** - Medium: $$61 \times \frac{54}{100} = 61 \times 0.54 = 32.94 \approx 33$$ - Loud: $$61 \times \frac{21}{100} = 61 \times 0.21 = 12.81 \approx 13$$ - Quiet: $$61 \times \frac{15}{100} = 61 \times 0.15 = 9.15 \approx 9$$ - Very Quiet: $$61 \times \frac{10}{100} = 61 \times 0.10 = 6.1 \approx 6$$ 4. **Interpretation:** Since the number of responses must be whole numbers, we round to the nearest whole number. 5. **Final answer:** - Medium: 33 responses - Loud: 13 responses - Quiet: 9 responses - Very Quiet: 6 responses These add up to 33 + 13 + 9 + 6 = 61 responses, matching the total.