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In mathematics we've studied interpolation as predicting the structure of a function from it's given finitely many values from which consequently we use to construct certain function which nearly resembles after the earlier one; obviously with some errors in it. On the other hand, statistically saying, inference is actually a procedure of drawing reasonable conclusion about entire population from merely given sample or data set & eventually error occurs here also. Aren't these two concepts same- not in letter though but in spirit in some way?

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  • $\begingroup$ Interpolation is about numerical values. Inference is about propositions/sentences. $\endgroup$ – Mauro ALLEGRANZA Jan 9 at 19:27
  • $\begingroup$ But we've also inferred numerical characteristics of statistical population using data set extracted from random sample. What about that? $\endgroup$ – SULAGNA BARAT Jan 29 at 18:59

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