Abstract

The article summarizes the experience of research devoted to statistical analysis and data processing of the results of the unified state exam (USE) of school graduates of the Udmurt Republic for different periods. It is shown, that the rank-power law of Zipf-Mandelbrot makes it possible to identify the professional intentions of USE respondents who have the property of self-similarity. Thus, the distribution of USE respondents of the Udmurt Republic is similar to the distribution in a separate school or district, which means that the object of study has a fractal-like structure. The metric characteristic of the structure under study is the fractal dimension determined from the Zipf-Mandelbrot regularity. The fractal nature of such an instrument of pedagogical measurement and diagnostics of the control of the education system, which in essence should be the Unified State Exam, has a psychological conditioning: any pedagogical object has its own measure and dimension and is didactically unique, as each individual is unique. This technique allows us to identify a kind of vector of professional intentions, general social trends of professional orientation of school graduates. Therefore, it seems appropriate to include such an analysis in the relevant reporting documents of the upcoming Unified State Exam and to take these trends into account when planning the career guidance work of universities.

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