2
QuizMultiple Choice

Representing Data — Unit test

Question 2 • AZ-Common Core Algebra II B

Julian and Nina are playing a game. Their scores for five games are shown in the table below.Julian’s and Nina’s ScoresJulian’s Scores4241465038Nina’s Scores4727453249Which statement comparing the medians to the ranges is true?

Answer
A
The medians differ by 3, but the ranges differ by 10.
B
The medians differ by 3, but the ranges differ by 2.
C
The medians differ by 1, but the ranges differ by 10.
D
The means differ by 1, but the ranges differ by 2.

Explanation

Julian’s scores in order are 38, 41, 42, 46, and 50, so the median is 42 and the range is 50 − 38 = 12. Nina’s scores in order are 27, 32, 45, 47, and 49, so the median is 45 and the range is 49 − 27 = 22. The medians differ by 3, and the ranges differ by 10, so the true statement is that the medians differ by 3 but the ranges differ by 10.

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