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From The Collaborative International Dictionary of English v.0.48:
Variance \Va"ri*ance\, n. [L. variantia.] 1. The quality or state of being variant; change of condition; variation. [1913 Webster] 2. Difference that produces dispute or controversy; disagreement; dissension; discord; dispute; quarrel. [1913 Webster] That which is the strength of their amity shall prove the immediate author of their variance. --Shak. [1913 Webster] 3. (Law) A disagreement or difference between two parts of the same legal proceeding, which, to be effectual, ought to agree, -- as between the writ and the declaration, or between the allegation and the proof. --Bouvier. [1913 Webster] 4. (Statistics) The expected value of the square of the deviation from the mean of a randomly distributed variable; the second moment about the mean. This is also the square of the standard deviation. [PJC] At variance, in disagreement; in a state of dissension or controversy; at enmity. "What cause brought him so soon at variance with himself?" --Milton. [1913 Webster]