This article scientifically substantiates the criteria for the selection of cloud-based learning technologies for the formation of professional competencies of bachelors majoring in statistics, as well as presents the results of expert evaluation of existing cloud-based learning technologies by defined criteria. The criteria for the selection of cloud-based learning technologies for the formation of professional competencies of bachelors majoring in statistics, were determined: information-didactic, functional and technological. To implement the selection of cloud-based learning technologies for the formation of professional competencies of bachelors majoring in statistics, and effective application in the process of formation of relevant competencies, the method of expert evaluation was applied. The expert evaluation was carried out in two stages: the first one selected cloud-based learning technologies to determine the most appropriate by author's criteria and indicators, and the second identified those cloud-based learning technologies that should be used in the educational process as a means to develop professional skills Bachelor of Statistics. According to the research, the most appropriate, convenient and effective cloud-based learning technologies for the formation of professional competencies of future bachelors of statistics by the manifestation of all criteria are cloud-based learning technologies CoCalc and WolframAlpha.