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Descriptive Statisticshard
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The range rule of thumb estimates standard deviation as SD≈Range4SD \approx \frac{\text{Range}}{4}SD≈4Range​ for approximately normal distributions (assuming data spans from roughly xˉ−2σ\bar{x} - 2\sigmaxˉ−2σ to xˉ+2σ\bar{x} + 2\sigmaxˉ+2σ). For a dataset with range 120, this rule estimates SD≈30SD \approx 30SD≈30. However, for which of the following data characteristics would this estimate be LEAST reliable?