Frequency Distribution 63F84A
1. **Stating the problem:**
We have a frequency distribution table with categories Male and Female, their frequencies, and we need to find the relative frequencies and percentages.
2. **Formulas:**
- Relative frequency for a category = $\frac{\text{Frequency of category}}{\text{Total frequency}}$
- Percentage for a category = Relative frequency $\times 100$
3. **Calculate relative frequencies:**
- For Male: $\frac{45}{82} \approx 0.5488$
- For Female: $\frac{37}{82} \approx 0.4512$
4. **Calculate percentages:**
- For Male: $0.5488 \times 100 = 54.88\%$
- For Female: $0.4512 \times 100 = 45.12\%$
5. **Summary:**
| Category | Frequency | Relative Frequency | Percentage |
|---|---|---|---|
| Male | 45 | 0.5488 | 54.88% |
| Female | 37 | 0.4512 | 45.12% |
| Total | 82 | 1.0000 | 100% |