Problem preview
S-ID.3 Warmup M1-052-A06-V01

Interpret differences in shape, center, spread, and outliers in context.

Compare centers of two distributions in context

Problem

In the context of run times, compare the centers of the \(\text{two}\) distributions: group A median \(42~\text{minutes}\), group B median \(35~\text{minutes}\).

Big Picture

What this problem is really about

A center comparison should connect a numerical difference to what the measured quantity means. Subtract the smaller median from the larger one to get the distance between typical values, then use the units and context to interpret which group typically has the longer duration.

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Four variants of this problem type
Curriculum context
Course
Math I
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
Compare centers of two distributions in context