Relative Frequency 6Ce0C5
1. **State the problem:** We are given a frequency table of pet ownership by men and women and need to complete the relative frequency table.
2. **Understand relative frequency:** Relative frequency is calculated by dividing the frequency of each category by the total number of observations and then converting to a percentage.
3. **Given data:** Total people = 130
4. **Calculate relative frequencies for Men:**
- Dog: $\frac{36}{130} \times 100 = 27.69\% \approx 27.9\%$ (given)
- Cat: $\frac{14}{130} \times 100 = 10.77\%$
- Bird: $\frac{13}{130} \times 100 = 10.00\%$
- Total Men: $\frac{63}{130} \times 100 = 48.46\%$
5. **Calculate relative frequencies for Women:**
- Dog: $\frac{29}{130} \times 100 = 22.31\%$
- Cat: $\frac{23}{130} \times 100 = 17.69\%$
- Bird: $\frac{15}{130} \times 100 = 11.54\%$
- Total Women: $\frac{67}{130} \times 100 = 51.54\%$
6. **Calculate relative frequencies for Total:**
- Dog: $\frac{65}{130} \times 100 = 50.00\%$
- Cat: $\frac{37}{130} \times 100 = 28.46\%$
- Bird: $\frac{28}{130} \times 100 = 21.54\%$
- Total Total: $100\%$ (given)
7. **Complete the table:**
| Pets | Men (%) | Women (%) | Total (%) |
|------|---------|-----------|-----------|
| Dog | 27.9 | 22.3 | 50.0 |
| Cat | 10.8 | 17.7 | 28.5 |
| Bird | 10.0 | 11.5 | 21.5 |
| Total| 48.5 | 51.5 | 100 |
**Final answer:** The relative frequency table is completed as above.