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Compare Distributions — Shape, Center, Spread, and Outliers (SOCS)

Compare distributions using shape (symmetric/skewed), center (mean/median), spread (IQR/standard deviation), and outliers.

StatisticsCommon Core SP-1.DEDAVerified correct ✓

Worked examples

Distribution A has mean 72, median 70, and IQR 18. Distribution B has mean 80, median 82, and IQR 6. Both are roughly symmetric with no outliers. Compare the two distributions using SOCS (shape, center, spread, outliers). Which distribution has more variability? Which has higher typical values?
Answer:
Distribution A has mean 72, median 70, and IQR 18. Distribution B has mean 80, median 82, and IQR 6. Both are roughly symmetric with no outliers. Compare the two distributions using SOCS (shape, center, spread, outliers). Which distribution has more variability? Which has higher typical values?
Answer:

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Measures of Center — Mean, Median, ModeMeasures of Variability — Range and IQRSummary Statistics — Mean, Median, Mode, Range, IQR

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