mean vs represent

mean is a noun but represent is not a noun.

Word	Noun	Adjective	Verb	Adverb
mean	Yes	Yes	Yes	No
represent	No	No	Yes	No

As verbs, represent is a hyponym of mean; that is, represent is a word with a more specific, narrower meaning than mean:

Other hyponyms of mean include stand for, symbolise, symbolize, typify, signify, import, spell, aim, aim, drive, get.

mean (noun)	represent (noun)
an average of n numbers computed by adding some function of the numbers and dividing by some function of n

mean (adjective)	represent (adjective)
of no value or worth
having or showing an ignoble lack of honor or morality
characterized by malice
approximating the statistical norm or average or expected value
marked by poverty befitting a beggar
(used of sums of money) so small in amount as to deserve contempt
(used of persons or behavior) characterized by or indicative of lack of generosity
very good; of the highest quality

mean (verb)	represent (verb)
have in mind as a purpose	to establish a mapping (of mathematical elements or sets)
intend to refer to	serve as a means of expressing something
destine or designate for a certain purpose	express indirectly by an image, form, or model; be a symbol
mean or intend to express or convey	point out or draw attention to in protest or remonstrance
denote or connote	bring forward and present to the mind
have as a logical consequence	describe or present, usually with respect to a particular quality
have a specified degree of importance	create an image or likeness of
	play a role or part
	perform (a play), especially on a stage
	be a delegate or spokesperson for; represent somebody's interest or be a proxy or substitute for, as of politicians and office holders representing their constituents, or of a tenant representing other tenants in a housing dispute
	be representative or typical for
	be the defense counsel for someone in a trial
	form or compose
	be typical of
	take the place of or be parallel or equivalent to