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Can anyone help explain why the following statistics are either Sufficient or not Sufficient?

Mode, Mean, Median, Standard Deviation, Skewness, Kurtosis, Range, IQR

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    Perhaps http://stats.stackexchange.com/ would be a better venue for this sort of question.2012-11-04
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    Every one of them is sufficient for some family of distributions. Sufficiency is relative to a set of probability distributions. This is explained in this article: http://www.jstor.org/stable/26831162012-11-04

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