mischief vs misdeed

mischief and misdeed both are nouns.

Word	Noun	Adjective	Verb	Adverb
mischief	Yes	No	No	No
misdeed	Yes	No	No	No

As nouns, misdeed is a hypernym of mischief; that is, misdeed is a word with a broader meaning than mischief:

mischief: reckless or malicious behavior that causes discomfort or annoyance in others
misdeed: improper or wicked or immoral behavior

Other hypernyms of mischief include misbehavior, misbehaviour.

mischief (noun)	misdeed (noun)
reckless or malicious behavior that causes discomfort or annoyance in others	improper or wicked or immoral behavior
the quality or nature of being harmful or evil