Problem preview
S-ID.2 Warmup M1-051-A01-V01

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

Find the mean of two data sets and compare the means

Problem

Find the mean of each data set, then compare them: data set \(A~=~4,~6,~8\); data set \(B~=~5,~5,~11\).

Big Picture

What this problem is really about

Compute each mean independently as that set’s total divided by its own observation count; comparing raw totals can be misleading, especially when sample sizes differ. Once both centers are in the same units, compare their order and subtract them in that order to describe the size of the difference.

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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 mean of two data sets and compare the means