15
QuizMultiple Choice

Multiple Samples

Question 15 • Pre-Algebra B

The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table below. Which pair of samples is most representative of the preference of all the staff?Uniform Color SurveySample 1Sample 2Sample 3Beige3Beige12Beige7Blue7Blue5Blue15Black10Black3Black18

Answer
A
Sample 1 and sample 2 are most representative because they are the same size.
B
Sample 1 and sample 3 are most representative because the relationship between preferences is consistent.
C
Sample 2 and sample 3 are most representative because the samples show a greater variability in preferences.
D
None of the samples are representative because none of the values remained constant.

Explanation

Compare the proportions of each color in the samples. Sample 1 has 3 beige, 7 blue, and 10 black preferences out of 20; Sample 3 has 7, 15, and 18 out of 40. Their proportions are very similar: about 15–18% beige, 35–38% blue, and 45–50% black, so Samples 1 and 3 are most representative of the same overall preference pattern.

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