in different ensembles, and, thus, the scaled variance is sensitive to conservation laws obeyed by a statistical system. The differences are preserved in the thermodynamic limit. The global conservation laws imposed on each microscopic state of the statistical system lead to the suppression of particle number fluctuations. At large $T$ and small $\mu_B$ (high collision energies) the final state scaled variances behave in the CE as, $\omega_{\pm}\cong 0.8$ and $\omega_{ch}\cong 1.6$ [@res_CE], and in the MCE as, $\omega_{\pm}\cong 0.3$ and $\omega_{ch}\cong 0.6$  [@res_MCE].

It has been found that the fluctuations in the number of nucleon participants give a large contribution to hadron multiplicity fluctuations in peripheral A+A collisions. Thus ideally a comparison between data and predictions of statistical models should be performed for results which correspond to collisions with a fixed number of nucleon participants. This can approximately be achieved by selecting only the most central A+A collisions (see Ref. [@Voka; @MGMG] for details). The conditions for the centrality selection in the study of fluctuations should thus be much more stringent than in the multiplicity measurements. To minimize the contributions from the participant number fluctuations, one should restrict the analysis to the 1% most central A+A collisions selected by the 