variance vs variation

variance and variation both are nouns.

Word	Noun	Adjective	Verb	Adverb
variance	Yes	No	No	No
variation	Yes	No	No	No

As nouns, variance and variation are synonyms defined as:

variance (noun)	variation (noun)
an activity that varies from a norm or standard	an activity that varies from a norm or standard
an official dispensation to act contrary to a rule or regulation (typically a building regulation)	the act of changing or altering something slightly but noticeably from the norm or standard
a difference between conflicting facts or claims or opinions	(ballet) a solo dance or dance figure
the quality of being subject to variation	an artifact that deviates from a norm or standard
the second moment around the mean; the expected value of the square of the deviations of a random variable from its mean value	something a little different from others of the same type
discord that splits a group	a repetition of a musical theme in which it is modified or embellished
an event that departs from expectations	an instance of change; the rate or magnitude of change
	(biology) an organism that has characteristics resulting from chromosomal alteration
	(astronomy) any perturbation of the mean motion or orbit of a planet or satellite (especially a perturbation of the earth's moon)
	the process of varying or being varied
	the angle (at a particular location) between magnetic north and true north