atypicality vs abnormality

atypicality and abnormality both are nouns.

Word	Noun	Adjective	Verb	Adverb
atypicality	Yes	No	No	No
abnormality	Yes	No	No	No

As nouns, abnormality is a hypernym of atypicality; that is, abnormality is a word with a broader meaning than atypicality:

atypicality: any state that is not typical
abnormality: an abnormal physical condition resulting from defective genes or developmental deficiencies

Other hypernyms of atypicality include abnormalcy.

atypicality (noun)	abnormality (noun)
any state that is not typical	behavior that breaches the rule or etiquette or custom or morality
	marked strangeness as a consequence of being abnormal
	retardation sufficient to fall outside the normal range of intelligence
	an abnormal physical condition resulting from defective genes or developmental deficiencies