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1.1. The conventional statistical methods, today in use in our industrial plants, give the mathematical basis for solving gaussians distribution models only or similar. This means that only about 5 % of the our modern industrial problems can be solved by these methods. 1.2. The Qualitative Industrial Statistic (Q.I.S),that we present, covers the statistical needs, of our industrial plants providing a mathematic-thecnological system with the following characteristics: 1.2.1. It makes possible the correct evaluation of eigthy different models of industrial distribution curves (right and left skewed, rectangular, with upper,lower and both extremes limitation, stable, unstable, with tendency, ciclical, etc.) 1.2.2.