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.