As Data Science (DS) and Artificial Intelligence (AI) disciplines are rising within the global technological sphere, students are actively seeking options that potentially enhance their knowledge of these domains. Nevertheless, the absence of a robust ranking system in Vietnam poses a considerable challenge for prospective college students aspiring to pursue careers in Data Science or Artificial Intelligence. The team is driven by the primary goal of establishing a comprehensive ranking framework to aid students in selecting universities conducive to their academic and career pursuits in DS and AI. The methodology comprises a systematic process of gathering and transforming data, conducting analytical tests such as correlation tests and comparative analysis of data points, and constructing linear regression models and principal components analysis utilizing Excel and R Studio employed for execution. Principal Components Analysis (PCA) was chosen as the main method to approach the dataset in ranking various features and concluding features that are significant in determining quality universities. The study successfully yields the first ranking system within the Vietnamese Data Science and Artificial Intelligence college sectors that captures the unique advantages and values of 36 Vietnamese universities. Notably, students, lecturers, and lawmakers who seek counsel in the dynamic field of Data Science and Artificial intelligence education can gain useful perception and development from the ranking system, exponentially making more comprehensive evaluation for future studies of Data and AI.