Problem preview
MF.DP.1 Challenge MF-055-A12-V04

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

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Problem

The target is quiz-score data with range \(14\) and interquartile range \(4\). Evaluate candidates A–E, then report the \(\text{complete}~\text{matching}~\text{set}\).

A. Five-number summary: minimum \(72\), \(Q_{1}\) \(78\), median \(80\), \(Q_{3}\) \(82\), maximum \(86\)
B. Five-number summary: minimum \(60\), \(Q_{1}\) \(78\), median \(80\), \(Q_{3}\) \(82\), maximum \(100\)
C. Statement: “The range is \(14\) and the \(IQR\) is \(4\).”
D. Statement: “The mean is \(80\).”
E. Data set: \(74\), \(78\), \(79\), \(80\), \(81\), \(82\), \(84\)

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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