Problem

Equal-width histogram counts are A: \([20,30)=4\), \([30,40)=4\); B: \([20,30)=7\), \([30,40)=1\). Compare the upper-bin proportions, apparent center ordering, and occupied-bin span, then state the limits on determining exact medians, ranges, and IQRs.

Source statistical display: Equal-width histogram counts are A: [20,30)=4,[30,40)=4; B: [20,30)=7,[30,40)=1. State every comparison supported by bins: upper-bin proportions, apparent center ordering, occupied-bin span, and what exact statistics cannot be determined. No requested analysis or conclusion is annotated.

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upper-bin proportions = A4/8=0.50, B1/8=0.125; center evidence = A appears higher; occupied-bin span = both occupy the same two bins, so neither is proven more spread by bin occupancy; limits = exact medians, ranges, and IQRs cannot be determined from these bin counts

upper-bin proportions = A4/8=0.50, B1/8=0.125; center evidence = A appears higher; occupied-bin span = both occupy the same two bins; limits = A is incorrectly treated as having a larger exact range and median

upper-bin proportions = A4/8=0.50, B1/8=0.125; center evidence = exact centers are treated as equal from shared bins; occupied-bin span = both occupy the same two bins; limits = exact medians are incorrectly claimed known

upper-bin proportions = A4/8=0.50, B1/8=0.125; center evidence = B is treated as higher because it has some values above30; occupied-bin span = B is treated as more spread; limits = exact statistics are not determined

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Equal-width histogram counts are A: \([20,30)=4\), \([30,40)=4\); B: \([20,30)=7\), \([30,40)=1\). Compare the upper-bin proportions, apparent center ordering, and occupied-bin span, then state the limits on determining exact medians, ranges, and IQRs.

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