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Peanut Butter Preference 0D39C5

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1. **State the problem:** Henri conducted an experiment with 25 girls and 25 boys rating peanut butter on a scale from 1 to 10. 2. **Given data:** - Girls: mean = 7, range = 9 - Boys: mean = 8, range = 5 3. **Analyze each statement:** **A. On average, girls like peanut butter more than boys.** - Girls' mean = 7 - Boys' mean = 8 - Since 8 > 7, boys on average like peanut butter more. - So, statement A is false. **B. The person who rated peanut butter the worst was a boy.** - Range = max - min - Girls' range = 9, so min rating for girls = max - 9 - Since scale max is 10, min for girls = 10 - 9 = 1 - Boys' range = 5, so min rating for boys = max - 5 - Max for boys can be at most 10, so min for boys = 10 - 5 = 5 - The worst rating overall is the minimum rating, which is 1 by a girl. - So, statement B is false. **C. Girls varied more than boys in how they liked peanut butter.** - Variation can be measured by range. - Girls' range = 9 - Boys' range = 5 - Since 9 > 5, girls varied more. - So, statement C is true. **D. Half of the boys rated peanut butter a 9 or 10.** - No information about median or distribution is given. - Cannot conclude this from mean and range alone. - So, statement D cannot be confirmed. **Final answer:** Statement C is true.