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Exercise minutes for 15 students give Q1 = 20, median 40, Q3 = 60 and a maximum of 300. Which value is a potential outlier?
AThe value 300 minutes
BThe value 120 minutes
CThe value 60 minutes
DThe value 0 minutes
Answer & Solution
Correct answer: A. The value 300 minutes
1. The interquartile range is 60 minus 20, which is 40 minutes.
2. The upper fence is 60 plus 1.5 times 40 minutes, which is 120 minutes.
3. Only 300 minutes exceeds that fence, so only that value is a potential outlier.
4. The value 120 minutes is the fence itself rather than a data value beyond it.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.2 Measures of the Location of the Data_
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