The statistical model in nuclear reactions has been developed extensively in the past decades, mainly by V. Weisskopf. However a clear understanding of the experimental situation regarding low and medium energy nuclear reaction is not yet settled. The interpretation is complicated by the fact that often the reactions proceed via other mechanisms, for instance direct effects. In the present work an attempt is made to show the possibility of explaining a certain group of nuclear reactions with a statistical model. The experiments discussed refer to :a) resonance measurements for slow neutrons;b) energy spectra of particles emitted in the reactions (n, p) and (n, n′) and (p, n) for incident energies ranging between 4 and 16 MeV;c) cross-sections of (n, p) and (n, n′) at 14 MeV. From the set of experiments discussed it is possible to obtain a consistent table of thea parameter of nuclear level density formula.