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I was recently asked to choose from the basic set of descriptive statistics which ones are sufficient.

Mean Median Mode Standard deviation E. Variance Range IQR (or IR) Skewness Kurtosis

This was a test question, and I guess I have the wrong idea about sufficiency because I was under the impression that it was on a per-distribution basis.

Can someone explain to me how to generally classify statistics as sufficient or not, and why? I'll also add that I am very new to statistics, and the only explination of sufficiency offered is that a stat uses all available data.


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