extrapolation vs surmising

extrapolation

noun
  • An inference about some hypothetical situation based on known facts. 

  • A calculation of an estimate of the value of some function outside the range of known values. 

  • The diametric opposite of interpolation. 

surmising

noun
  • The act of making surmises. 

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