baseball game vs batting average

baseball game and batting average both are nouns.

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

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