Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious.
He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?
Responses
A On average, girls like peanut butter more than boys. On average, girls like peanut butter more than boys.
B The person who rated peanut butter the worst was a boy. The person who rated peanut butter the worst was a boy.
C Girls varied more than boys in how they liked peanut butter.Girls varied more than boys in how they liked peanut butter.
D Half of the boys rated peanut butter a 9 or 10.
On average, boys like peanut butter more than girls.
why
The boys had a higher mean rating (8) compared to the girls (7). This suggests that, on average, the boys enjoyed the taste of peanut butter more than the girls did.
To determine which statement is true, we need to analyze the given information.
First, let's consider the mean rating for each group. The mean for girls is 7, while the mean for boys is 8. This means, on average, boys rated peanut butter higher than girls.
So, statement A ("On average, girls like peanut butter more than boys") is not true based on the given information.
Next, let's review the ranges. The range for girls is 9, while the range for boys is 5. The range represents the difference between the highest and lowest ratings. In this case, the range for girls is greater, meaning there is more variability in how the girls rated peanut butter.
Therefore, statement C ("Girls varied more than boys in how they liked peanut butter") is true based on the given information.
Lastly, the statement B ("The person who rated peanut butter the worst was a boy") and statement D ("Half of the boys rated peanut butter a 9 or 10") cannot be determined from the given information. The range does not provide information about specific individuals' ratings.
In summary, statement C is the only statement that can be confirmed based on the given information.