Problem

Add \(100\) to \({5,6,7,8,9,10}\). Using the median-of-halves convention, calculate the before-and-after mean, median, range, and \(IQR\); report each signed change; and compare the measures' resistance to the outlier.

Source statistical display: Add 100 to {5,6,7,8,9,10}. Using the median-of-halves convention, compute mean, median, range, and IQR before and after; identify each signed change and resistance comparison. No requested comparison or classification is annotated.

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before=(mean7.5, median7.5, range5, IQR3); after=(mean=145/7≈20.71, median8, range95, IQR4); changes=(mean +185/14, median +0.5, range +90, IQR +90); comparison=IQR is treated as nearly the range

before=(mean7.5, median7.5, range5, IQR3); after=(mean=145/7≈20.71, median8, range95, IQR4); changes=(mean 0, median +0.5, range +90, IQR +1); comparison=range is treated as changing while mean is unchanged

before=(mean7.5, median7.5, range5, IQR3); after=(mean=145/7≈20.71, median8, range95, IQR4); changes=(mean +185/14, median +0.5, range +90, IQR +1); comparison=all measures are treated as increasing greatly and equally

before=(mean7.5, median7.5, range5, IQR3); after=(mean=145/7≈20.71, median8, range95, IQR4); changes=(mean +185/14≈+13.21, median +0.5, range +90, IQR +1); comparison=median/IQR change much less than mean/range

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Add \(100\) to \({5,6,7,8,9,10}\). Using the median-of-halves convention, calculate the before-and-after mean, median, range, and \(IQR\); report each signed change; and compare the measures' resistance to the outlier.

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