I would like to understand if it is possible to rank graduate schools in the US and/or Canada by the entry/admission standards/requirements (this could be based on GPA/GRE/etc). While it seems that the common university rankings do not provide this type of information for graduate schools, perhaps, there exist some publicly available data sets. I tried looking around and I noticed that some individual universities (or departments) provide this type of information, but this is not very common. I am only interested in the STEM fields and I do not mind if the information is partial (e.g. only Mathematics departments in Canada).