interpolation vs figuring

interpolation and figuring both are nouns.

Word	Noun	Adjective	Verb	Adverb
interpolation	Yes	No	No	No
figuring	Yes	No	No	No

As nouns, figuring is a hypernym of interpolation; that is, figuring is a word with a broader meaning than interpolation:

interpolation: (mathematics) calculation of the value of a function between the values already known
figuring: problem solving that involves numbers or quantities

Other hypernyms of interpolation include calculation, computation, reckoning.

interpolation (noun)	figuring (noun)
the action of interjecting or interposing an action or remark that interrupts	problem solving that involves numbers or quantities
(mathematics) calculation of the value of a function between the values already known
a message (spoken or written) that is introduced or inserted