mid-14c. (transitive); late 14c. (intransitive), from Old French variier "be changed, go astray; change, alter, transform" and directly from Latin variare "change, alter, make different," from varius "varied, different, spotted;" perhaps related to varus "bent, crooked, knock-kneed," and varix "varicose vein," and, more distantly, to Old English wearte "wart," Swedish varbulde "pus swelling," Latin verruca "wart." Related: Varied; varying.
late 14c., "having a certain color, having a distinguishing hue," also (c. 1400) "having a certain complexion," past-participle adjective from color (v.). From 1610s as "having a dark or black color of the skin;" specifically, in U.S., "being wholly or partly of African descent," though, as Century Dictionary notes (1897) "In census-tables, etc., the term is often used to include Indians, Chinese, etc."
<a href="https://www.etymonline.com/word/varicolored">Etymology of varicolored by etymonline</a>
Harper, D. (n.d.). Etymology of varicolored. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/varicolored