Trimming, or truncating, is the process of removing observations that show outliers in one or more variables in the dataset. There are three commonly used methods to set the boundaries beyond which a value can be considered an outlier. If the variable is normally distributed, the boundaries are given by the mean plus or minus three times the standard deviation, as approximately 99% of the data will be distributed between those limits. For normally, as well as not normally, distributed variables, we can determine the limits using the inter-quartile range proximity rules or by directly setting the limits to the 5th and 95th quantiles. We covered the formula for the inter-quartile range proximity rule in the Getting ready section of the Highlighting outliers recipe in Chapter 1, Foreseeing Variable Problems...
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