variety vs heterogeneity

variety and heterogeneity both are nouns.

Word	Noun	Adjective	Verb	Adverb
variety	Yes	No	No	No
heterogeneity	Yes	No	No	No

As nouns, heterogeneity is a hypernym of variety; that is, heterogeneity is a word with a broader meaning than variety:

Other hypernyms of variety include heterogeneousness.

variety (noun)	heterogeneity (noun)
noticeable heterogeneity	the quality of being diverse and not comparable in kind
a difference that is usually pleasant
a category of things distinguished by some common characteristic or quality
a show consisting of a series of short unrelated performances
(biology) a taxonomic category consisting of members of a species that differ from others of the same species in minor but heritable characteristics
a collection containing a variety of sorts of things