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QUESTION:

A survey taken of 140 sports fans asked the question: "What is the most you have ever spent for a ticket to a sporting event?"

The five-number summary for the data collected is:

min = 85, Q1 = 130, Median = 145, Q3 = 150, Max = 250

Should the smallest observation be classified as an outlier?

ANSWER:

Yes

Good job! The IQR is 150 - 130 = 20. Using the 1.5(IQR) criterion we get 130 - 1.5(20) = 100. Since the smallest observation of 85 is smaller than 100, it should be considered an outlier.

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