Problem preview
S-ID.2 Warmup M1-051-A02-V01

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

Find the median of each data set and compare the medians

Problem

Find the median of each data set, then compare them: data set \(A~=~3,~7,~9\); data set \(B~=~2,~8,~10\).

Big Picture

What this problem is really about

Order each data set before looking for its center. With an odd number of observations, the median is the single value with equal counts on both sides; find that position in each set, then compare the two middle values directly rather than averaging all the data.

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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 median of each data set and compare the medians