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This paper describes the cluster models construction for schools in the Tomsk region. K-means method is used to distribute objects between clusters using the multidimensional vector of variables (socio-economic status of students, qualification and age of teaching staff, students' participation in academic competitions, students in difficult living conditions, etc.). The cluster models were constructed for urban schools (regional center), country and ungraded schools. The computer simulation using STATISTICA system was performed due to large amount of source data and complexity of the developed models. The analysis showed the relationship between the values of cluster variables and the results of Unified State Exams (USE).