Quality is currently an often-used term in all areas of human activity. However, the measurement of quality is very problematic in the field of education, particularly if no specific, comprehensible criteria for its measurement, accepted by most subjects active in the specific sector, exist. Monitoring quality in the field of education is difficult because there is no long-term embedded quality standard and the established level can be affected not only by the selection of the chosen criteria for measurement, but also by determining specific weights when comparing the importance of the chosen criteria. The authors of this paper endeavour to point out one way of assessing the quality of publicly established universities in the Czech Republic during the academic years 2011/2012 and 2018/2019 on a basic sample of all 26 publicly established universities. The quality of the pedagogic apparatus and the converted number of students indicate that the classification of schools into categories according to the Ministry of Education, Youth, and Sports of the Czech Republic (MEYS) is possible, but the individual categories should be discussed and modified according to the assessment performed.