norm vs criterion

norm and criterion both are nouns.

Word	Noun	Adjective	Verb	Adverb
norm	Yes	No	No	No
criterion	Yes	No	No	No

As nouns, criterion is a hypernym of norm; that is, criterion is a word with a broader meaning than norm:

norm: a standard or model or pattern regarded as typical
criterion: a basis for comparison; a reference point against which other things can be evaluated

Other hypernyms of norm include measure, standard, touchstone.

norm (noun)	criterion (noun)
a statistic describing the location of a distribution	the ideal in terms of which something can be judged
a standard or model or pattern regarded as typical	a basis for comparison; a reference point against which other things can be evaluated