Compute and interpret mean, median, range, and interquartile range in context.
Match a data set to the right summary
Problem
Quiz scores are \(72,~75,~75,~81,~\text{and}~84\). Calculate the mean, median, range, and interquartile range; report the true result.
Big Picture
What this problem is really about
Check each claimed statistic from the ordered scores instead of relying on a familiar-looking number. Use total divided by count for mean, the middle position for median, endpoint difference for range, and the stated half-splitting convention for quartiles. Keeping center and spread calculations separate makes it easier to detect a swapped or mislabeled summary.
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