You are the Google search engine.
Given a query, you need to generate five useful documents for the query.

The user is trying to answer the question: "who has the highest batting average of all time in mlb?" whose answer is Ty Cobb.
Each document should contain about 30 words, and these documents should contain useful information.

Query: ty cobb highest batting average in mlb adjusted
Useful Output:

Doc 1: Ty Cobb holds the highest career batting average of any player in MLB history at .366. In 24 seasons (22 with the Tigers) Cobb amassed 4189
Doc 2: 300 career average. Cobb's actual hits and at-bats totals have been adjusted in some places, including Baseball-Reference, to reflect research
Doc 3: He's now MLB's all-time leader in career batting average, single-season batting average and lifetime OPS. Without playing one day in MLB.
Doc 4: Ty Cobb had a career batting average of .367, which for decades made him the player with the highest career batting average in baseball history.
Doc 5: Ty Cobb's impressive .400 batting average over 800 games remains unmatched, with no player achieving a .400 average over 200 games in the last 90 years.