who has the highest batting average after age 26 with more than 500 at bats

Rogers Hornsby has the highest career batting average by a player older than 26 with >500 at-bats, with an average of .368.

	NAME	AVG	AB	G	R	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	OBP	SLG	OPS
1	Rogers Hornsby R. Hornsby	.368	4,327	1,237	930	1,593	329	63	201	946	676	19	342	34		5,153	2,651	593	131				.456	.613	1.068
2	Ty Cobb T. Cobb	.365	7,091	1,891	1,437	2,589	475	170	70		916	53	325	444		8,244	3,614	715	184				.441	.510	.951
3	Harry Heilmann H. Heilmann	.362	4,840	1,331	896	1,750	385	91	137	1,049	607	23	323	67		5,642	2,728	613	172				.435	.564	.999
4	Lefty O'Doul L. O'Doul	.353	3,192	894	618	1,126	173	41	113	532	329	22	114	35		3,580	1,720	327	37				.417	.539	.956
5	Tristram Speaker T. Speaker	.347	6,809	1,877	1,285	2,364	577	128	78		1,006	54	174	198		8,094	3,431	783	225				.435	.504	.939
6	Bill Terry B. Terry	.346	5,768	1,507	1,019	1,997	335	104	138	987	474	8	377	51		6,383	2,954	577	133				.397	.512	.909
7	George Sisler G. Sisler	.343	5,916	1,442	947	2,031	312	118	81	903	324	28	207	221		6,422	2,822	511	154				.380	.477	.857
8	Babe Ruth B. Ruth	.343	6,289	1,818	1,636	2,155	344	81	552	1,686	1,578	28	985	79		7,981	4,317	977	86				.476	.686	1.163
9	Tony Gwynn T. Gwynn	.342	6,805	1,797	1,010	2,329	427	58	106	899	587	16	299	214	79	7,511	3,190	591	27	76	169	190	.392	.469	.861
10	Lou Gehrig L. Gehrig	.341	5,061	1,345	1,211	1,728	313	89	329	1,292	991	29	417	66		6,100	3,206	731	19			2	.452	.633	1.085
11	Ted Williams T. Williams	.340	5,602	1,706	1,258	1,905	371	38	394	1,324	1,525	27	513	13	5	7,175	3,534	803	1	20	89	156	.482	.631	1.113
12	Joe Jackson J. Jackson	.338	2,990	796	470	1,011	165	95	34		302	32	120	85		3,415	1,468	294	91				.405	.491	.896
13	Rod Carew R. Carew	.336	6,588	1,745	1,058	2,211	317	80	69	740	820	14	627	295	147	7,576	2,895	466	98	56	129	151	.407	.439	.847
14	Riggs Stephenson R. Stephenson	.335	3,529	997	541	1,183	240	41	50	598	401	26	179	40		4,029	1,655	331	73				.407	.469	.876
15	Heinie Manush H. Manush	.332	5,183	1,303	846	1,723	341	109	67	792	335	25	207	56		5,637	2,483	517	94			1	.376	.479	.855
16	Eddie Collins E. Collins	.332	6,810	1,951	1,228	2,259	300	116	34		1,124	40	243	429		8,350	2,893	450	376				.429	.425	.854
17	Ray Grimes R. Grimes	.329	1,536	433	269	505	101	25	27	266	204	17	133	21		1,787	737	153	30				.413	.480	.893
18	Dale Alexander D. Alexander	.328	1,790	497	255	588	121	15	35	318	184	5	127	14		1,991	844	171	12				.393	.472	.864
19	Larry Walker L. Walker	.328	4,936	1,417	1,063	1,621	368	48	303	1,013	696	115	831	147	46	5,792	2,994	719	0	45	80	121	.420	.607	1.026
20	Roberto Clemente R. Clemente	.328	6,023	1,552	959	1,977	283	109	177	893	456	22	860	58	20	6,558	3,009	569	13	44	150	168	.375	.500	.875
21	Bob Fothergill B. Fothergill	.328	2,713	910	370	890	187	43	35	488	177	17	138	35		2,974	1,268	265	67				.373	.467	.840
22	Edd Roush E. Roush	.328	4,766	1,230	732	1,561	247	115	50	662	327	24	135	140		5,252	2,188	412	135				.374	.459	.833
23	Stan Musial S. Musial	.327	8,061	2,266	1,397	2,635	511	100	404	1,499	1,226	37	570	44	31	9,385	4,558	1,015	8	53	127	197	.416	.565	.981
24	Pie Traynor P. Traynor	.327	4,591	1,178	697	1,500	242	88	28	807	282	17	164	65		5,050	2,002	358	160				.368	.436	.804
25	Zack Wheat Z. Wheat	.326	6,240	1,653	925	2,035	319	113	99		444	52	277	109		6,826	2,877	531	90				.376	.461	.837