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M1-052-A01-V04
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S-ID.3
Warmup
M1-052-A01-V04
Interpret differences in shape, center, spread, and outliers in context.
Classify the shape of a dot plot
Problem
Classify the quiz-score dot plot with counts \({4:1,5:3,6:5,7:3,8:1}\). Report its modality, symmetry or skew, gaps, visual outliers, and supporting frequency evidence.
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A
modality=unimodal with mode6; skew=right-skewed; gaps=none from4–8; visual outliers=8; evidence=paired counts4↔8 and5↔7 are treated as a right tail
B
modality=all values tied; uniformity=uniform; gaps=4–8; visual outliers=none; evidence=unequal counts1,3,5,3,1 are treated as equal
C
modality=unimodal with mode6; symmetry=symmetric/mound-shaped about6; gaps=none from4–8; visual outliers=none; evidence=counts pair 4↔8 as1 and5↔7 as3, with peak5 at6
D
modality=unimodal with mode6; symmetry=not classified; gaps=not checked from4–8; visual outliers=not checked; evidence=only the peak at6 is reported
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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 dot plot