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Usually refers to "z-standardization" which is shifting and rescaling data to assure they have zero mean and unit variance. Other "standardizations" are possible, too.
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Should you standardize your variables before or after removing outliers?
It depends on what you exactly need for your use-case, but if you remove outliers after standardizing, the resulting data won't be standardized anymore (if many outliers are removed, standard deviatio …