conformity vs normality

conformity and normality both are nouns.

Word	Noun	Adjective	Verb	Adverb
conformity	Yes	No	No	No
normality	Yes	No	No	No

As nouns, normality is a hyponym of conformity; that is, normality is a word with a more specific, narrower meaning than conformity:

Other hyponyms of conformity include justness, nicety, rightness.

conformity (noun)	normality (noun)
acting according to certain accepted standards	expectedness as a consequence of being usual or regular or common
hardened conventionality	conformity with the norm
correspondence in form or appearance	(of a solution) concentration expressed in gram equivalents of solute per liter
orthodoxy in thoughts and belief	being within certain limits that define the range of normal functioning
concurrence of opinion