Problem

Dot plot A has median \(4\) and range \(1\text{--}7\); dot plot B has median \(8\) and range \(5\text{--}11\). Calculate the median difference and range intersection, determine whether the distributions are completely separated, and state the supported and unsupported comparisons.

Source distribution display: Dot plot A has median4 and range1–7; B has median8 and range5–11. No requested comparison or interpretation is annotated.

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median difference B−A=4; range intersection=[5,7]; separation=complete because overlap is small; supported=every B value exceeds every A value; unsupported=the shared values5–7 matter

median difference B−A=4; range intersection=[5,7]; separation=not complete; supported=same typical values; unsupported=a median difference can indicate different centers

median difference B-A=4; range intersection=[5,7], so some values overlap; separation=not complete; supported=B tends to have larger values; unsupported=every B value exceeds every A value

median difference B−A=4; range intersection=[5,7]; separation=not complete; supported=no comparison is possible because overlap exists; unsupported=center ordering can still be compared

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Dot plot A has median \(4\) and range \(1\text{--}7\); dot plot B has median \(8\) and range \(5\text{--}11\). Calculate the median difference and range intersection, determine whether the distributions are completely separated, and state the supported and unsupported comparisons.

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