Problem

Analyze the histogram with bins \([0,10),~[10,20),~[20,30),~[30,40)\) and counts \(1,~3,~6,~2\). Determine the sample size, modal bin and count, distribution shape, and supporting evidence.

Source statistical display: Which complete analysis correctly describes a histogram with bins [0,10),[10,20),[20,30),[30,40) and counts 1,3,6,2? No requested counts, analysis, or box-plot conclusion is annotated.

Big Picture

What this problem is really about

Read a histogram in layers: add bar heights for sample size, locate every tallest bar for the modal region, and then examine how occupied bins extend away from the peak. Skew follows the longer tail of the distribution, not merely the position or height of the last bar.

Answer choices

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Preview only

n=12; modal bin=[20,30) with count6; shape=unimodal and right-skewed; evidence=the final bin count 2 is treated as proving a right tail

n=12; modal bin=[20,30) with count6; shape=unimodal and left-skewed; evidence=two occupied lower-value bins extend below the mode versus one higher-value bin above it

n=12; modal bins=[10,20) and [20,30) with counts3 and6; shape=bimodal; evidence=multiple nonzero bins are treated as multiple modes

n=12; modal bin=[20,30) with count6; shape=symmetric; evidence=the modal bin is treated as central despite counts 1,3,6,2

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Analyze the histogram with bins \([0,10),~[10,20),~[20,30),~[30,40)\) and counts \(1,~3,~6,~2\). Determine the sample size, modal bin and count, distribution shape, and supporting evidence.

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