The students in Juan's math class have the exact same mean height as the students in Juan's English class. However, while the standard deviation of the student heights in his math class is 3.2 inches, the standard deviation of the student heights 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 Juan's math class. В) The median height of the students in Juan's English class is 2.9 inches greater than the median height of the students in Juan's math class. C) The heights of the students in Juan's math class are more variable than the heights of the students in Juan's English class. D) The heights of the students in Juan's math class are less variable than the heights of the students in Juan's English class.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The students in Juan's math class have the exact same mean height as the students in Juan's English class.
However, while the standard deviation of the student heights in his math class is 3.2 inches, the standard
deviation of the student heights 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 Juan's 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 Juan's math class.
C) The heights of the students in Juan's math class are more variable than the heights of the students in Juan's
English class.
D) The heights of the students in Juan's math class are less variable than the heights of the students in Juan's
English class.
Transcribed Image Text:The students in Juan's math class have the exact same mean height as the students in Juan's English class. However, while the standard deviation of the student heights in his math class is 3.2 inches, the standard deviation of the student heights 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 Juan's 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 Juan's math class. C) The heights of the students in Juan's math class are more variable than the heights of the students in Juan's English class. D) The heights of the students in Juan's math class are less variable than the heights of the students in Juan's English class.
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