AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Boxplots and Outliers — Unit testQuestion 1
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QuizMultiple Choice

Boxplots and Outliers — Unit test

Question 1 • Mathematics for College Liberal Arts Sem 1 (1207350) BCPS 2025-26

The five-number summary for the lengths of songs, in minutes, performed by a popular music group is given below.Minimum: 1.8 Q1: 3.3 Median: 3.8 Q3: 4.5 Maximum: 9.2The shortest song performed by the group is 1.8 minutes while the longest three songs are 5.7, 7.5, and 9.2 minutes. Are any of these song lengths outliers?

Answer
A
No, none of the lengths are outliers.
B
Yes, 7.5 and 9.2 are outliers.
C
Yes, 1.8 and 9.2 are outliers.
D
Yes, 5.7, 7.5, and 9.2 are outliers.

Explanation

The interquartile range is 4.5 − 3.3 = 1.2. The upper outlier cutoff is Q3 + 1.5(IQR) = 4.5 + 1.5(1.2) = 6.3, and the lower cutoff is 3.3 − 1.8 = 1.5. The lengths 7.5 and 9.2 are above 6.3, while 5.7 and 1.8 are within the cutoffs. So 7.5 and 9.2 are outliers.

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