abnormality vs misbehaviour

abnormality and misbehaviour both are nouns.

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

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

abnormality: behavior that breaches the rule or etiquette or custom or morality
misbehaviour: improper or wicked or immoral behavior

Other hypernyms of abnormality include misbehavior, misdeed.

abnormality (noun)	misbehaviour (noun)
behavior that breaches the rule or etiquette or custom or morality	improper or wicked or immoral behavior
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