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Oct 16, 2018 at 11:21 comment added BigBendRegion Echoing Carlo's comment: if you are interested in a population total (e.g., in audit sampling), then you are interested in the mean, period. If makes no difference how skewed or outlier-prone the distribution is, you just have to deal with it. You can't Winsorize, trim, otherwise remove outliers, or log transform. Stratification can help greatly; in the case of extreme outliers, those should be made as strata unto themselves.
May 7, 2014 at 7:13 history answered Carlo Lazzaro CC BY-SA 3.0