Higher Education institutional data can be found on an institution’s webpage, usually under the Institutional Research or Institutional Effectiveness webpage. This office is responsible for collecting enrollment data, analyzing trends, and providing reports to state and federal agencies. See the "Website Search Tricks" section of this guide for suggestions on searching for institutional data.
While these guides are aimed at prospective students, they do include information about enrollment, accreditation, average SAT/ACT scores, etc.