academic institution vs varsity

academic institution

noun
  • An educational institution, dedicated to higher education and research, that grants academic degrees. 

  • An educational institution, dedicated to teaching and/or research. 

varsity

noun
  • university 

  • The principal sports team representing an institution (usually a high school, college, or university.) 

How often have the words academic institution and varsity occurred in a corpus of books? (source: Google Ngram Viewer )