When scaling variables to the median and quantiles, the median value is removed from the observations and the result is divided by the inter-quartile range (IQR). The IQR is the range between the 1st quartile and the 3rd quartile, or, in other words, the range between the 25th quantile and the 75th quantile:
This method is known as robust scaling because it produces more robust estimates for the center and value range of the variable, and is recommended if the data contains outliers. In this recipe, we will implement scaling with the median and IQR by utilizing scikit-learn.
