batting average vs hitting average

batting average and hitting average both are nouns.

Word	Noun	Adjective	Verb	Adverb
batting average	Yes	No	No	No
hitting average	Yes	No	No	No

As nouns, batting average and hitting average are synonyms defined as:

batting average and hitting average: (baseball) a measure of a batter's performance; the number of base hits divided by the number of official times at bat

batting average (noun)	hitting average (noun)
(baseball) a measure of a batter's performance; the number of base hits divided by the number of official times at bat	(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