The structural transformations in polycrystalline Ba-doped lanthanum manganite La0.95Ba0.05Mn0.98Fe0.02O3+δ under heat treatment in a vacuum have been studied by Mössbauer spectroscopy and X-ray diffraction analysis. It has been experimentally shown that the unusual fluctuation behavior of structural transformations in the compound annealed in a vacuum versus annealing time and/or temperature. We suppose that this behavior is related to stochastic processes.