misunderstanding vs mistake

misunderstanding and mistake both are nouns.

Word	Noun	Adjective	Verb	Adverb
misunderstanding	Yes	No	No	No
mistake	Yes	No	Yes	No

As nouns, misunderstanding and mistake are synonyms defined as:

misunderstanding and mistake: an understanding of something that is not correct

Other synonyms of misunderstanding include misapprehension.

misunderstanding (noun)	mistake (noun)
an understanding of something that is not correct	a wrong action attributable to bad judgment or ignorance or inattention
putting the wrong interpretation on	an understanding of something that is not correct
	part of a statement that is not correct

misunderstanding (verb)	mistake (verb)
	to make a mistake or be incorrect
	identify incorrectly