Problem

Dot-plot summaries give A: median \(8\), minimum \(6\), maximum \(10\); B: median \(12\), minimum \(9\), maximum \(15\). Compare the median centers and their difference, then calculate and compare the range spreads and their difference.

Source statistical display: Dot-plot summaries give A: median 8, min 6, max 10; B: median 12, min 9, max 15. Compare centers using median and spreads using range. No requested analysis or conclusion is annotated.

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What this problem is really about

Treat center and spread as two separate questions about the same pair of distributions. First compare the medians to describe where typical values sit, then compare maximum-minus-minimum spans to describe variability, keeping each signed difference in one consistent subtraction order.

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centers = medians A8,B12, difference 0 so same center; spreads = ranges A=10−6=4,B=15−9=6, difference +2 so B greater

centers = medians A8,B12, difference +4 so B higher; spreads = ranges A=10-6=4,B=15-9=6, difference +2 so B greater

centers = medians A8,B12, difference +4 so B higher; spreads = ranges A=10−6=4,B=15−9=6, difference −2 so A greater because A has the lower minimum

centers = medians A8,B12, difference −4 so A higher; spreads = ranges A=10−6=4,B=15−9=6, difference −2 so A greater

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Dot-plot summaries give A: median \(8\), minimum \(6\), maximum \(10\); B: median \(12\), minimum \(9\), maximum \(15\). Compare the median centers and their difference, then calculate and compare the range spreads and their difference.

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