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.
A: On average, girls like peanut butter more than boys.
Mrs. Myles gave the same test to both her first and third period class. In first period, the median was 75 and the range was 30. In third period, the median was 80 and the range was 60. Which is a true statement? [Assume that scores can reach a maximum of 100.]
Responses
A There is not enough information to know if any of these is true.There is not enough information to know if any of these is true.
B The lowest score was in third period.The lowest score was in third period.
C The highest score was in first period.The highest score was in first period.
D On average, first period did better than third period.
A: There is not enough information to know if any of these is true.
To determine which statement is true, we need to analyze the given data.
Statement A: "On average, girls like peanut butter more than boys."
To determine if this statement is true, we compare the mean ratings for girls and boys. The mean rating for girls is given as 7, while the mean rating for boys is given as 8. Therefore, we can conclude that on average, boys rated peanut butter higher than girls. Thus, statement A is false.
Statement B: "The person who rated peanut butter the worst was a boy."
To determine if this statement is true, we need to look at the range of ratings. The range for girls is given as 9, which means the lowest rating they gave is 1. The range for boys is given as 5, so it is possible that they had a rating lower than 1. However, we cannot determine the exact lowest rating without more information. Therefore, we cannot conclude if the person who rated peanut butter the worst was a boy or a girl. Thus, statement B is inconclusive.
Statement C: "Girls varied more than boys in how they liked peanut butter."
To determine if this statement is true, we compare the ranges of ratings. The range for girls is given as 9, while the range for boys is given as 5. Since the range for girls is larger, we can conclude that girls varied more in how they liked peanut butter than boys. Thus, statement C is true.
Statement D: "Half of the boys rated peanut butter a 9 or 10."
To determine if this statement is true, we need the actual data of how many boys rated peanut butter a 9 or 10. The given information does not include this data, so we cannot determine if half of the boys rated peanut butter a 9 or 10. Thus, statement D is inconclusive.
In conclusion, the only statement that can be deemed true based on the given information is statement C: "Girls varied more than boys in how they liked peanut butter."