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In this paper, the Normal statistical distribution has been studied the power spectrum of manganese Mn-54 irradiated using a reagent fluorescence sodium iodide NaI(Tl) after split its spectrum into areas, shows that the tops are interwoven with each other i.e. there is more than a statistical distribution per curve because trere is more than one peak in the spectrum. And changing area nice dissolution isotope manganese match every time although account for the same time period . And the bulk of the spectra of manganese is a small space spectrum either a large area is a few percent , Also does not have a symmetry as in the normal distribution, We may find a positive sprained right onto curved spectrum total area and Photovoltaic Summit area. We find a negative twisting to the left in a curved of the net photovoltaic summit area. Increasing the distribution curve and the number of peaks when the increasing division of categories to 20 categories and whenever a large discrepancy became curved lower and more casually . this distribution differs from the normal distribution. It was reached that the number of overlapping tops increases as the increased length of the category (20) thus, the number of tops more than it is in the case of (10) period. Whenever a big contrast between the spectrum space, the curve is lower and more width, so it is shown that the curves representing the total area differ from those representing the photo top area and net area of the photo top .