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In the present paper, the approach to the representation of aggregate information on the cross sections of elementary processes is described and its justification within mathematical statistics is given. It is caused by necessity of integrated account of the results obtained by different works at different times, in different groups, based on experimental and theoretical studies in various energy ranges. The main attention is paid to the process of electron-atom scattering. As an example of the proposed approach application, the aggregate result on thus obtained integral cross sections of electron impact excitation of the transitions in the hydrogen atom is presented

Theoretical base of the approach to the representation of aggregate information on the cross sections of the scattering processes