16
QuizMultiple Choice

Multiple Samples

Question 16 • Pre-Algebra B

Student representatives surveyed their classmates on their preference of a school mascot for a new school. The results are shown in the table below. Which pair of samples seems most representative of student preference?Mascot SurveySample 1Sample 2Sample 3Artichokes15Artichokes0Artichokes3Bears28Bears53Bears48Citizens17Citizens7Citizens9

Answer
A
Sample 1 and sample 2 are most representative because there is less difference between the numbers of students that chose each mascot.
B
Sample 2 and sample 3 are most representative because the relationship between preferences is consistent.
C
Sample 1 and sample 3 are most representative because 0 should not appear in a sample.
D
None of the samples are representative because none of the values remained constant.

Explanation

Samples 2 and 3 give the most similar results: their counts differ by only 3 for Artichokes, 5 for Bears, and 2 for Citizens. In both samples, Bears are preferred most, followed by Citizens and then Artichokes, so the relationship between preferences is consistent. Sample 1 has noticeably different counts, especially for Artichokes and Bears.

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