Event-by-event fluctuations in global observables are an important topic in nucleus-nucleus collisions at high energies. These observables include the multiplicity, total transverse energy, mean transverse energy, mean transverse momentum, etc. Fluctuations in different interacting systems have different strengths and shapes. Interacting systems with different incident nuclei and energies are expected to have different fluctuations. Especially, for systems with different interacting mechanisms, the fluctuations should be different. It is believed that fluctuations in the above physical observables may provide experimental signals with formation on the quark-gluon plasma (QGP)(quark matter) and may help in understanding the thermodynamical characteristics of interacting system and final-state particles [1, 2]. We guess that a small fluctuation corresponds to a low incident energy, and a QGP phase in high energy collisions has a large fluctuation in the physical observables mentioned above. At the Super Proton Synchrotron (SPS) and the Relativistic Heavy Ion Collider (RHIC), the projectile energy in Pb induced fixed-target collisions and the center-of-mass energy in Au-Au collisions reach 158A GeV and 130–200A GeV respectively, where A denotes the nucleon number. Different fluctuations should be obtained at SPS and RHIC energies. It has been fea-