Problem

A histogram labels bins '\(0\text{--}10\) inclusive' and '\(10\text{--}20\) inclusive,' placing \(10\) in both bins. Diagnose the error, state the governing bin rule, and give corrected bin definitions and the assignment of \(10\).

Source statistical display: A histogram labels bins '0–10 inclusive' and '10–20 inclusive,' so both contain10. No requested analysis or conclusion is annotated.

Answer choices

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error = touching bin boundaries; rule = histogram intervals cannot touch; correction = separate the bars with a gap; corrected display = intervals no longer share an endpoint

error = overlapping boundary at10; rule = each observation belongs to exactly one bin; correction = exclude10 from both bins; corrected display = value10 belongs to neither bin

error = overlapping boundary at10; rule = each observation belongs to exactly one bin; correction = use [0,10) and [10,20); value10 is counted only in [10,20)

error = no error at10; rule = adjacent inclusive bins may share a boundary; correction = keep both bins inclusive; corrected display = value10 belongs to both bins

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A histogram labels bins '\(0\text{--}10\) inclusive' and '\(10\text{--}20\) inclusive,' placing \(10\) in both bins. Diagnose the error, state the governing bin rule, and give corrected bin definitions and the assignment of \(10\).

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