normal vs mores

normal and mores both are nouns.

As nouns, mores is a hyponym of normal; that is, mores is a word with a more specific, narrower meaning than normal:

normal: something regarded as a normative example
mores: (sociology) the conventions that embody the fundamental values of a group

Other hyponyms of normal include code of behavior, code of conduct, universal.

normal (noun)	mores (noun)
something regarded as a normative example	(sociology) the conventions that embody the fundamental values of a group

normal (adjective)	mores (adjective)
conforming with or constituting a norm or standard or level or type or social norm; not abnormal
in accordance with scientific laws
being approximately average or within certain limits in e.g. intelligence and development
forming a right angle