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M1-050-A02-V02
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S-ID.1
Warmup
M1-050-A02-V02
Represent one-variable data with dot plots, histograms, and box plots.
Interpret a dot plot from value counts
Problem
Analyze the dot plot with counts \({5:2,6:2,7:2,8:2}\) using the median-of-halves quartile convention and the \(1.5\times~IQR\) rule. Determine \(n\), median, modes, range, quartiles, \(IQR\), fences, outliers, and a distribution summary.
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A
n=8; median=6.5; modes=5,8; range=3; Q1=5.5, Q3=7.5, IQR=2, fences=[2.5,10.5]; outliers=none; summary=bimodal at the endpoints
B
n=8; median=6.5; modes=5,6,7,8 tied; range=3; Q1=5.5, Q3=7.5, IQR=2, fences=[2.5,10.5]; outliers=none; summary=uniform across 5–8 and symmetric about 6.5
C
n=8; median=6.5; modes=5,6,7,8 tied; range=3; Q1=5.5, Q3=7.5, IQR=2, fences=[2.5,10.5]; outliers=5,8; summary=uniform but asymmetric
D
n=8; median=6.5; modes=6,7; range=3; Q1=5.5, Q3=7.5, IQR=2, fences=[2.5,10.5]; outliers=none; summary=clustered at the center
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Curriculum context
Standard S-ID.1
Category Statistics and Probability
Domain Interpreting Categorical and Quantitative Data
Objective Represent one-variable data with dot plots, histograms, and box plots.
Problem type Interpret a dot plot from value counts