mean vs nasty

mean is a noun but nasty is not a noun.

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

mean (adjective)	nasty (adjective)
approximating the statistical norm or average or expected value	offensive or even (of persons) malicious
characterized by malice	exasperatingly difficult to handle or circumvent
having or showing an ignoble lack of honor or morality	characterized by obscenity
marked by poverty befitting a beggar	disgustingly dirty; filled or smeared with offensive matter
(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)	nasty (verb)
mean or intend to express or convey
have as a logical consequence
denote or connote
have in mind as a purpose
have a specified degree of importance
intend to refer to
destine or designate for a certain purpose