1530s, "change of fortunes," from Middle French variété and directly from Latin varietatem (nominative varietas) "difference, diversity; a kind, variety, species, sort," from varius "various" (see vary). Meaning diversity, absence of monotony" is from 1540s; that of "collection of different things" is from 1550s; sense of "something different from others" is from 1610s. In reference to music hall or theatrical performances of a mixed nature, first recorded 1868, American English.
