Value range of normalization methods? min-max, z-score, decimal scaling

Min-Max-Scaling means that one linearly transforms real data values such that the minimum and the maximum of the transformed data take certain values -- frequently 0 and 1 or -1 and 1. This depends on the context. For example the formula

$ x^\prime := (x-x_{\min})/(x_{\max} -x_{\min} ) $

does the job for the values 0 and 1. Here $x_{\min}$ is the minimal data value appearing and similarly $x_{\max}$.

The z-score linearly transforms the data in such a way, that the mean value of the transformed data equals 0 while their standard deviation equals 1. The transformed values themselves do not lie in a particular interval like [0,1] or so. The transformation formula thus is:

$ x^\prime := (x-\overline{x})/s $

where $\overline{x}$ denotes the mean value of the data and $s$ its standard deviation.