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M1-051-A11-V04
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S-ID.2
Warmup
M1-051-A11-V04
Compare data sets using center and spread measures appropriate to distribution shape.
Interpret center and spread comparisons in context
Problem
Route A has median commute time \(18~\min\) and \(IQR\) \(5~\min\); route B has median \(18~\min\) and \(IQR\) \(11~\min\). Calculate the center and spread differences and state the contextual conclusion.
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A
median difference=0min, so A typically longer; IQR difference=11−5=6min, so A more consistent; conclusion=A has longer but more consistent commutes
B
median difference=0min, so typical commute times are equal; IQR difference=11−5=6min, so A less consistent because its IQR is smaller; conclusion=same typical time with A more variable
C
median difference=0min, so B typically longer because IQR is11; IQR difference=11−5=6min, so B more variable; conclusion=B has longer and more variable commutes
D
median difference=0min, so typical commute times are equal; IQR difference=11-5=6min, so B is less consistent/more variable; conclusion=same typical time, greater middle-half spread for B
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Curriculum context
Standard S-ID.2
Category Statistics and Probability
Domain Interpreting Categorical and Quantitative Data
Objective Compare data sets using center and spread measures appropriate to distribution shape.
Problem type Interpret center and spread comparisons in context
