Problem

Remove \(0\) from \({0,18,19,20,21,22}\). Using median-of-halves quartiles, calculate the before-and-after mean, median, range, and \(IQR\); report each signed change; and interpret the change in shape.

Source distribution display: Remove0 from data {0,18,19,20,21,22}. Using median-of-halves quartiles, compute mean, median, range, IQR before/after and interpret tail change. No requested comparison or interpretation is annotated.

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before=(mean=50/3≈16.67,median19.5,range22,IQR3); after=(mean20,median20,range4,IQR3); changes=(mean +10/3,median +0.5,range -18,IQR0); shape=low tail removed, so less left-skewed

before=(mean=50/3≈16.67,median19.5,range22,IQR3); after=(mean20,median20,range4,IQR3); changes=(mean +10/3,median +0.5,range +18,IQR0); shape=low tail is removed while range is treated as increasing

before=(mean=50/3≈16.67,median19.5,range22,IQR3); after=(mean20,median20,range4,IQR3); changes=(mean −10/3,median +0.5,range −18,IQR0); shape=removing low tail is treated as decreasing mean

before=(mean=50/3≈16.67,median19.5,range22,IQR3); after=(mean20,median20,range4,IQR3); changes=(mean +10/3,median +0.5,range −18,IQR0); shape=all statistics are treated as changing little

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Remove \(0\) from \({0,18,19,20,21,22}\). Using median-of-halves quartiles, calculate the before-and-after mean, median, range, and \(IQR\); report each signed change; and interpret the change in shape.

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