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M1-052-A01-V03
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S-ID.3
Warmup
M1-052-A01-V03
Interpret differences in shape, center, spread, and outliers in context.
Classify the shape of a dot plot
Problem
Classify the dot plot with counts \({2:2,4:2,6:2,8:2}\) and \(\text{zero}~\text{counts}\) at \(3,~5,~\text{and}~7\). Report its modality, symmetry or skew, uniformity, gaps, and supporting evidence.
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A
modality=no unique mode (2,4,6,8 tied); symmetry=symmetric about5; uniformity=uniform over the four observed values; gaps=zero-frequency ticks at3,5,7
B
modality=no unique mode with 2,4,6,8 tied; symmetry=symmetric about5; uniformity=clustered around6; gaps=zero-frequency ticks at3,5,7; evidence=equal counts are treated as a central cluster
C
modality=no unique mode with 2,4,6,8 tied; skew=right-skewed; uniformity=uniform over observed values; gaps=zero-frequency ticks at3,5,7; evidence=equal paired counts are treated as a right tail
D
modality=unimodal with mode5; symmetry=mound-shaped about5; uniformity=not uniform; gaps=zero-frequency ticks at3,5,7; evidence=a nonexistent center value5 is treated as the peak
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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