Given Q1 = 10, Q3 = 20, IQR = 10, which value would be considered an outlier under the IQR rule?

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Multiple Choice

Given Q1 = 10, Q3 = 20, IQR = 10, which value would be considered an outlier under the IQR rule?

The IQR rule flags values outside 1.5 times the IQR beyond the quartiles as outliers. With Q1 = 10, Q3 = 20, and IQR = 10, the fences are:

lower bound = Q1 − 1.5×IQR = 10 − 15 = −5

upper bound = Q3 + 1.5×IQR = 20 + 15 = 35

So any value below −5 or above 35 is an outlier. Among the options, −6 is below −5, making it an outlier. The others (0, 12, 30) all lie within [−5, 35], so they are not outliers.

Given Q1 = 10, Q3 = 20, IQR = 10, which value would be considered an outlier under the IQR rule?

Enhance your understanding of Descriptive Statistics and Probability. Study with interactive questions and detailed explanations. Prepare effectively for your test!

Given Q1 = 10, Q3 = 20, IQR = 10, which value would be considered an outlier under the IQR rule?

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