14
QuizMultiple Choice

Introduction to Statistics — Unit test

Question 14 • PBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023

Thirteen students in a statistics class were asked how many siblings they have. Their responses are listed below.0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6Which of the following is the five-number summary for the data?

Answer
A
0, 3, 3, 3, 6
B
0, 3, 3, 4, 6
C
0, 2.5, 3, 3, 6
D
0, 2.5, 3, 4, 6

Explanation

The five-number summary is the minimum, first quartile, median, third quartile, and maximum. The minimum is 0 and the maximum is 6; the median is the 7th value, which is 3. The lower six values have middle pair 2 and 3, so the first quartile is 2.5. The upper six values have middle pair 3 and 5, so the third quartile is 4. Thus the summary is 0, 2.5, 3, 4, 6: choice D.

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