By the method of molecular dynamics a study in the work is made of the statistical characteristics of a quasi-breather in a model CuAu crystal. The phonon spectrum of this model crystal, the dependences of mean-square deviation, the coefficient of variation and the average frequency of the model quasi-breather on the time of its existence are obtained. The statistical data analysis allows for the conclusion that the quasi-breather model solution in the model considered (which uses the interatomic potential obtained by means of embedded atom method (EAM)) slightly differs from the one in the corresponding exact breather.