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Relative Frequency 6Ce0C5

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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.