hall vs middle school

hall

noun
  • The principal room of a secular medieval building. 

  • A corridor; a hallway. 

  • A meal served and eaten at a college's hall. 

  • A college's canteen, which is often but not always coterminous with a traditional hall. 

  • A meeting room. 

  • A building providing student accommodation at a university. 

  • A living room. 

  • A place for special professional education, or for conferring professional degrees or licences. 

  • A manor house (originally because a magistrate's court was held in the hall of his mansion). 

middle school

noun
  • A school which crosses the traditional divide between primary school and secondary school. 

  • An educational level or stage between primary school and secondary school. 

How often have the words hall and middle school occurred in a corpus of books? (source: Google Ngram Viewer )