Subjects statistics

Relative Frequency Bed8B5

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1. **State the problem:** We need to find the approximate relative frequency of women who preferred a sports utility vehicle (SUV). 2. **Understand the data:** From the table: - Number of women who preferred SUV = 64 - Total number of women surveyed = 88 - Total number of all clients surveyed = 202 3. **Formula for relative frequency:** $$\text{Relative frequency} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ 4. **Apply the formula:** $$\text{Relative frequency of women preferring SUV} = \frac{64}{88}$$ 5. **Simplify the fraction:** $$\frac{64}{88} = \frac{\cancel{8} \times 8}{\cancel{8} \times 11} = \frac{8}{11}$$ 6. **Convert to percentage:** $$\frac{8}{11} \approx 0.7272 = 72.72\%$$ 7. **Conclusion:** The approximate relative frequency is 72%, which corresponds to option D. **Final answer:** 72%