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Faculty Votes 7E6761

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Faculty Votes 7E6761


1. **State the problem:** We have votes for three faculty members: Ms. Luz (60 votes), Mr. Henry (25 votes), and Ms. Lina (35 votes). We need to find: a. Total number of students who participated. b. Percentage of votes each faculty member received. c. Create a frequency distribution table. 2. **Total number of students:** Add all votes: $$\text{Total} = 60 + 25 + 35 = 120$$ 3. **Percentage calculation formula:** $$\text{Percentage} = \left(\frac{\text{Number of votes for a candidate}}{\text{Total votes}}\right) \times 100$$ 4. **Calculate percentages:** i. Ms. Luz: $$\frac{60}{120} \times 100 = 50\%$$ ii. Mr. Henry: $$\frac{25}{120} \times 100 \approx 20.83\%$$ iii. Ms. Lina: $$\frac{35}{120} \times 100 \approx 29.17\%$$ 5. **Frequency distribution table:** | Faculty Member | Number of Votes | Frequency (Proportion) | |----------------|-----------------|-----------------------| | Ms. Luz | 60 | $\frac{60}{120} = 0.5$ | | Mr. Henry | 25 | $\frac{25}{120} \approx 0.2083$ | | Ms. Lina | 35 | $\frac{35}{120} \approx 0.2917$ | This table shows the count and relative frequency of votes for each candidate. **Final answers:** - Total students: 120 - Percentages: Ms. Luz 50%, Mr. Henry approx. 20.83%, Ms. Lina approx. 29.17% - Frequency distribution as above.