On a boxplot, an observation is classified as an outlier if

A.
it is smaller than \(\bar{X}-3 S\) or larger than \(\bar{X}+3 S\)
B.
it is larger than \(\bar{X}-3 S\) and smaller than \(\bar{X}+3 S\)
C.
it is smaller than \(Q_{1}\) or larger than \(Q_{3}\)
D.
it is smaller than \(Q_{1}-1.5 \mathrm{IQR}\) or larger than \(Q_{3}+1.5 \mathrm{IQR}\)
E.
it is larger than \(Q_{1}-1.5 \mathrm{IQR}\) and smaller than \(Q_{3}+1.5 \mathrm{IQR}\)
Statistics
AP
College Board
Exam No:AP Statistics Problem Set 11 Year:2024 Question No:APStatistics2024AP0445

Answer:

D

Knowledge points:

1.6 Describing the Distribution of a Quantitative Variable
1.7 Summary Statistics for a Quantitative Variable
1.8 Graphical Representations of Summary Statistics

Solution:

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