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→Example without outliers: remove space |
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: <math>Q_1-1.5\text{ IQR}=66^\circ F-13.5^\circ F=52.5^\circ F.</math>
The upper whisker boundary of the box-plot is the largest data value that is within 1.5 IQR above the third quartile. Here, 1.5 IQR above the third quartile is 88.5°F and the maximum is 81°F. Therefore, the upper whisker is drawn at the value of the maximum, which is 81
Similarly, the lower whisker boundary of the box plot is the smallest data value that is within 1.5 IQR below the first quartile. Here, 1.5 IQR below the first quartile is 52.5 °F and the minimum is 57°F. Therefore, the lower whisker is drawn at the value of the minimum, which is 57 °F.
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