We propose an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. that two histograms are drawn from the same distribution). The approach is based on the notion "significance of deviation". Our approach allows also to estimate the statistical difference between two histograms.
Comment: The version 4 of the note (misprint in Tab.3, Tab.4 is corrected). 12 pages, 15 figures