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M1-052-A02-V04
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S-ID.3
Warmup
M1-052-A02-V04
Interpret differences in shape, center, spread, and outliers in context.
Classify the shape of a histogram
Problem
Classify the book-count histogram with equal-width bins \([0,2)\), \([2,4)\), \([4,6)\), \([6,8)\), and \([8,10)\) and counts \(2\), \(5\), \(8\), \(5\), and \(2\). Report its modality and modal bin, symmetry or skew, uniformity, gaps, and supporting count evidence.
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A
modality=unimodal, modal bin=[4,6) count8; skew=left-skewed; uniformity=not uniform; gaps=none; evidence=paired counts2,5,8,5,2 are treated as a left tail
B
modality=unimodal, modal bin=[4,6) count8; symmetry=not symmetric; uniformity=not uniform; gaps=none; evidence=a tallest center bin is treated as disproving symmetry
C
modality=unimodal, modal bin=[4,6) count8; symmetry=roughly symmetric; uniformity=not uniform; gaps=none; evidence=paired counts2,5 mirror5,2 around the central peak8
D
modality=unimodal, modal bin=[4,6) count8; skew=right-skewed; uniformity=not uniform; gaps=none; evidence=paired counts2,5,8,5,2 are treated as a right tail
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Curriculum context
Standard S-ID.3
Category Statistics and Probability
Domain Interpreting Categorical and Quantitative Data
Objective Interpret differences in shape, center, spread, and outliers in context.
Problem type Classify the shape of a histogram