variation vs variance

variation and variance both are nouns.

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

As nouns, variation and variance are synonyms defined as:

variation (noun)	variance (noun)
an activity that varies from a norm or standard	an activity that varies from a norm or standard
the act of changing or altering something slightly but noticeably from the norm or standard	an official dispensation to act contrary to a rule or regulation (typically a building regulation)
(ballet) a solo dance or dance figure	a difference between conflicting facts or claims or opinions
an artifact that deviates from a norm or standard	the quality of being subject to variation
something a little different from others of the same type	the second moment around the mean; the expected value of the square of the deviations of a random variable from its mean value
a repetition of a musical theme in which it is modified or embellished	discord that splits a group
an instance of change; the rate or magnitude of change	an event that departs from expectations
(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