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MF.DP.1 Challenge MF-055-A12-V03

Compute and interpret mean, median, range, and interquartile range in context.

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Problem

The target is a data set with mean \(18\) and median \(16\). Evaluate candidates A–E, then report the \(\text{complete}~\text{set}\) that could describe such a data set.

A. Data set: \(10,~14,~16,~20,~30\)
B. Data set: \(12,~15,~16,~17,~30\)
C. Summary: “The average is \(18\), and \(\text{half}~\text{the}~\text{values}\) are above \(18\) and \(\text{half}\) are below \(18\).”
D. Summary: “The mean is \(18\), and the middle value is \(16\).”
E. Data set: \(8,~16,~16,~20,~30\)

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Four variants of this problem type
Curriculum context
Standard
MF.DP.1
Category
Data and Probability
Domain
Descriptive Statistics
Objective
Compute and interpret mean, median, range, and interquartile range in context.
Problem type
Find every matching center-and-spread representation