Which pair of summary statistics is least affected by a single extreme outlier?
Answer and explanation
Correct answer: C. The median and the interquartile range
- Step 1: The mean, range and standard deviation all use extreme values directly. Step 2. The median and IQR depend only on the middle positions of the ordered data. Answer: The median and the interquartile range. Why not the others: each other pair contains at least one measure that moves a lot when one value becomes extreme.
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