Problem preview
S-ID.3 Warmup M1-052-A03-V01

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

Identify an outlier from a display summary

Problem

Use this display summary to decide whether there are any outliers: dot plot values cluster from \(10~\text{to}~14\) with a \(\text{single}~\text{value}\) at \(30\).

Big Picture

What this problem is really about

A visual outlier is identified by separation from the main body of data, not merely by being the smallest or largest observation. Locate the dense cluster first, then compare any isolated point with the nearest edge of that cluster and pay attention to the empty interval between them.

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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
Identify an outlier from a display summary