hitting average vs baseball game

hitting average and baseball game both are nouns.

Word	Noun	Adjective	Verb	Adverb
hitting average	Yes	No	No	No
baseball game	Yes	No	No	No

hitting average (noun)	baseball game (noun)
(baseball) a measure of a batter's performance; the number of base hits divided by the number of official times at bat	a ball game played with a bat and ball between two teams of nine players; teams take turns at bat trying to score runs