mean vs represent

mean is a noun but represent is not a noun.

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, typify, symbolise, symbolize, signify, import, spell, aim, get, aim, drive.

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

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