Subjects statistics

Marching Band 54D926

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1. **State the problem:** We have the number of students in the marching band from each class: Freshman 24, Sophomore 8, Junior 32, Senior 16. We want to find which bars in the percentage bar graph correctly represent these numbers. 2. **Calculate total number of students:** $$24 + 8 + 32 + 16 = 80$$ 3. **Calculate percentage for each class:** - Freshman: $$\frac{24}{80} \times 100 = 30\%$$ - Sophomore: $$\frac{8}{80} \times 100 = 10\%$$ - Junior: $$\frac{32}{80} \times 100 = 40\%$$ - Senior: $$\frac{16}{80} \times 100 = 20\%$$ 4. **Interpret the graph segments:** - Junior bar covers 40% to 70%, which is a 30% length segment, but the actual percentage is 40%. - Senior bar covers 70% to 90%, which is a 20% length segment, matching the Senior percentage. 5. **Check which bars correctly represent the data:** - Junior bar length should be 40%, but graph shows 30% (40% to 70% is 30% length), so it does not correctly represent the data. - Senior bar length is 20% (70% to 90%), which matches the Senior percentage. 6. **Conclusion:** - Freshman bar should be 30%, Sophomore 10%, Junior 40%, Senior 20%. - The graph shows Junior bar as 30% length (incorrect) and Senior bar as 20% length (correct). - The problem asks to select TWO correct answers. Since only Senior bar length matches, we check the other bars. 7. **Since the Junior bar is incorrectly sized, the correct bars are:** - Senior (black) bar correctly represents 20%. - Sophomore (light gray) bar is 10%, which is small and likely correctly represented. **Final answer:** The bars for Sophomore and Senior correctly represent the data.