Thomas is researching locations to live after high school and asks his family members about the number of different places they have lived. Let A be the set of the number of places where nine of Thomas' family members have lived after high school.

A = {3, 2, 7, 8, 6, 8, 3, 4, 3}

Thomas forgot that his uncle traveled with the military and has lived in 15 different places since high school. Let B represent the set of the number of places where all ten of his family members, including his uncle, have lived after high school.

Select the true statement.

The interquartile range of A is 0.5 more than the interquartile range of B.

The mean of B is the same as the mean of A.

The interquartile range of A is 1.5 less than the interquartile range of B.

The mean of B is greater than the mean of A.

Question

Mathematics

Cinnamon

11 September, 08:28

Thomas is researching locations to live after high school and asks his family members about the number of different places they have lived. Let A be the set of the number of places where nine of Thomas' family members have lived after high school.

A = {3, 2, 7, 8, 6, 8, 3, 4, 3}

Thomas forgot that his uncle traveled with the military and has lived in 15 different places since high school. Let B represent the set of the number of places where all ten of his family members, including his uncle, have lived after high school.

Select the true statement.

The interquartile range of A is 0.5 more than the interquartile range of B.

The mean of B is the same as the mean of A.

The interquartile range of A is 1.5 less than the interquartile range of B.

The mean of B is greater than the mean of A.

+4

Answers (1)

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Maryjane Huerta · Answer 1

The difference between set A and set B is the inclusion of data from Thomas's uncle in B. Notice that his uncle has lived in many more places than the rest of the people in the data set. Because of this, the average (mean) of the data set will be greater in B because having an outlier from the rest of the data will shift the mean towards that outlier.

Answer: The mean of B is greater than the mean of A.