QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
The " $1.5 \times$ IQR" rule states that a data value is potentially an outlier if its distance below the first quartile or above the third quartile is greater than 1.5 times the interquartile range. Which of the following box plots represents a data set with a potential outlier, as identified by the " $1.5 \times$ IQR" rule? Select all that apply.
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Answer
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Step 1: Identify the box plots with potential outliers based on the " $1.5 imes$ IQR" rule.
The " $1.5 imes$ IQR" rule states that a data value is potentially an outlier if its distance below the first quartile (Q1) or above the third quartile (Q3) is greater than 1.5 times the interquartile range (IQR = Q3 - Q1).
To apply this rule, we first need to identify Q^1, Q^3, and the IQR for each box plot.
Step 2: Analyze the first box plot.
In the first box plot, the upper edge of the box is around 8, and the line extending from the box (whisker) reaches approximately 10. The lower edge of the box is around 2, and the lower whisker reaches approximately 0. Here, Q^1 is around 2, Q^3 is around 8, and IQR = Q^3 - Q^1 = 8 - 2 = 6.
Final Answer
The box plots with potential outliers, as identified by the " $1.5 imes$ IQR" rule, are the second and fourth box plots.
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