mete out vs lot

mete out is not a noun while lot is a noun.

Word	Noun	Adjective	Verb	Adverb
mete out	No	No	Yes	No
lot	Yes	No	Yes	No

As verbs, mete out and lot are synonyms defined as:

Other synonyms of mete out include administer, allot, deal, deal out, dish out, dispense, distribute, dole out, parcel out, shell out.

mete out (noun)	lot (noun)
	anything (straws or pebbles etc.) taken or chosen at random
	an unofficial association of people or groups
	any collection in its entirety
	a parcel of land having fixed boundaries
	(often followed by `of') a large number or amount or extent
	your overall circumstances or condition in life (including everything that happens to you)

mete out (verb)	lot (verb)
administer or bestow, as in small portions	administer or bestow, as in small portions
	divide into lots, as of land, for example