I am working on a clustering problem and I have some skewed variables.
So, I log transform them and use them in clustering.
However, instead of multivariate clustering, I do multiple univariate clustering (1D clustering of multiple variables seperately) using jenks approach.
My question is,
a) The pattern/cluster/cluster labels found based on standardized/log transformed values also apply to the original values? For ex: using log transformed values (and their correspondimg customer id), I can get their raw values. So, can I say that raw data from 100
to 102
belongs to cluster 0 and 800
to 804
belongs to cluster 1?
Meaning, the pattern found for normalized/standardized/transformed value are also applicable to raw values? Or is it like pattern found in log transformed values is kind of fake (amd not mecessarily apply to raw values)
my sample data looks like below. This is just dummy data to help understand the question (so transformation values may be incorrect)