Question

The mean height of the students in Juan's math class is equal to the mean height of the students in his English class. However, while the standard deviation of the heights of students in his math class is 3.2 inches, the standard deviation of the heights of students in his English class is 6.1 inches. Which of the following statements must be true?

A) The mean height of the students in Juan's English class is 2.9 inches greater than the mean height of the students in his math class.

B) The median height of the students in Juan's English class is 2.9 inches greater than the median height of the students in his math class.

C) The median height of the students in Juan's math class is 2.9 inches greater than the median height of the students in his English class.

D) The heights of the students in Juan's math class are less variable than the heights of the students in his English class.

Answer 1

Answer: The statement "The mean height of the students in Juan's math class is equal to the mean height of the students in his English class" means that the center or average of both groups is the same. However, the statement "the standard deviation of the heights of students in his math class is 3.2 inches, the standard deviation of the heights of students in his English class is 6.1 inches" implies that the heights of the students in the English class are more spread out than the heights of the students in the math class.

Therefore, the answer is:

D) The heights of the students in Juan's math class are less variable than the heights of the students in his English class.

Explanation: