Problem preview
S-ID.2 Warmup M1-051-A03-V01

Compare data sets using center and spread measures appropriate to distribution shape.

Find the range of each data set and compare the ranges

Problem

Find the range of each data set, then compare them: data set \(A~=~4,~6,~9,~12\); data set \(B~=~1,~5,~8,~10\).

Big Picture

What this problem is really about

For each set, ignore the interior values at first and identify only its minimum and maximum. Their difference is the range, so compare those two spans after computing them in the same units; remember that this spread measure is sensitive because it depends entirely on the extremes.

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Four variants of this problem type
Curriculum context
Course
Math I
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
Find the range of each data set and compare the ranges