who has the highest career ba with 3000+ pa since 1920

Since 1920, Rogers Hornsby has the best batting average when making 3,000+ plate appearances, with an average of .374.

	NAME	AVG	PA	G	AB	R	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	TB	XBH	SH	SF	IBB	GIDP	OBP	SLG	OPS	WRC	WRAA	WOBA	WRC+	BRAA
1	Rogers Hornsby R. Hornsby	.374	7,232	1,704	6,170	1,306	2,310	464	117	274	1,318	863	30	492	76		3,830	855	169				.453	.621	1.074	1687	789.1	.481	181	757.1
2	Harry Heilmann H. Heilmann	.361	6,685	1,574	5,775	1,044	2,085	442	107	161	1,228	679	26	376	72		3,224	710	205				.431	.558	.989	1381	544.3	.448	152	471.2
3	Ty Cobb T. Cobb	.357	4,791	1,105	4,133	830	1,476	293	85	50	727	512	28	145	128		2,089	428	118				.431	.505	.937	919	328.7	.432	142	275.3
4	Tristram Speaker T. Speaker	.354	5,034	1,170	4,226	830	1,496	397	74	72	726	636	26	104	58		2,257	543	146				.441	.534	.976	1023	405.6	.447	151	343.2
5	Lefty O'Doul L. O'Doul	.350	3,642	951	3,248	622	1,136	175	41	113	541	332	23	120	35		1,732	329	39				.414	.533	.947	716	251.3	.426	143	212.4
6	Babe Ruth B. Ruth	.347	9,290	2,112	7,289	1,972	2,531	424	106	665	1,990	1,872	35	1,146	110		5,162	1,195	94				.483	.708	1.191	2465	1,307.7	.520	199	1,248.2
7	Eddie Collins E. Collins	.346	4,648	1,110	3,855	685	1,334	200	55	22	520	592	21	99	180		1,710	277	180				.436	.444	.879	824	252.8	.415	133	206.3
8	Ted Williams T. Williams	.344	9,791	2,292	7,706	1,798	2,654	525	71	521	1,839	2,021	39	709	24	4	4,884	1,117	5	20	86	197	.482	.634	1.116	2349	1,219.7	.493	188	1,067
9	George Sisler G. Sisler	.344	6,420	1,442	5,911	948	2,033	312	118	81	897	328	28	207	221		2,824	511	153				.381	.478	.859	1035	231.8	.393	116	133.3
10	Bill Terry B. Terry	.341	7,111	1,721	6,428	1,120	2,193	373	112	154	1,078	537	9	449	56		3,252	639	137				.393	.506	.899	1265	365	.407	136	346.7
11	Lou Gehrig L. Gehrig	.340	9,660	2,164	8,001	1,888	2,721	534	163	493	1,995	1,508	45	790	102		5,060	1,190	106			2	.447	.632	1.080	2265	1,046.8	.477	173	980
12	Zack Wheat Z. Wheat	.339	4,320	1,036	3,940	654	1,337	225	65	81	608	293	28	133	43		1,935	371	59				.389	.491	.880	730	198	.404	134	185.2
13	Tony Gwynn T. Gwynn	.338	10,232	2,440	9,288	1,383	3,141	543	85	135	1,138	790	24	434	319	125	4,259	763	45	85	203	259	.388	.459	.847	1582	379.2	.370	132	390.4
14	Riggs Stephenson R. Stephenson	.336	5,134	1,310	4,508	714	1,515	321	54	63	773	494	41	247	53		2,133	438	91				.407	.473	.880	894	250.4	.405	132	216.5
15	Al Simmons A. Simmons	.334	9,515	2,215	8,759	1,507	2,927	539	149	307	1,828	615	30	737	88		4,685	995	111			23	.380	.535	.915	1714	519.5	.410	130	400.1
16	Paul Waner P. Waner	.333	10,762	2,549	9,459	1,627	3,152	605	191	113	1,309	1,091	38	376	104		4,478	909	174			45	.404	.473	.878	1868	537	.403	135	487.9
17	Stan Musial S. Musial	.331	12,712	3,026	10,972	1,949	3,630	725	177	475	1,951	1,599	53	696	78	31	6,134	1,377	35	53	127	243	.417	.559	.976	2474	1,032.5	.435	158	896.7
18	Heinie Manush H. Manush	.330	8,416	2,008	7,654	1,288	2,524	491	160	110	1,183	506	70	345	113		3,665	761	186			1	.377	.479	.856	1366	310	.389	120	222.9
19	Wade Boggs W. Boggs	.328	10,740	2,439	9,180	1,513	3,010	578	61	118	1,014	1,412	23	745	24	35	4,064	757	29	96	180	236	.415	.443	.858	1746	493.9	.381	132	411
20	Rod Carew R. Carew	.328	10,550	2,469	9,315	1,424	3,053	445	112	92	1,015	1,018	25	1,028	353	187	3,998	649	128	64	144	216	.393	.429	.822	1576	435.7	.369	132	379.9
21	Edd Roush E. Roush	.327	5,337	1,249	4,834	744	1,581	248	116	51	671	335	26	137	144		2,214	415	142				.374	.458	.832	817	157.3	.383	123	155.9
22	Ross Youngs R. Youngs	.326	4,212	953	3,638	664	1,187	187	75	39	523	454	24	289	118		1,641	301	96				.405	.451	.856	693	174.5	.399	133	171.8
23	Bob Fothergill B. Fothergill	.325	3,579	1,106	3,269	452	1,064	225	52	36	582	202	20	177	42		1,501	313	88				.368	.459	.828	543	92.8	.378	112	56.6
24	Ken Williams K. Williams	.325	5,076	1,249	4,388	805	1,428	265	68	190	863	522	24	237	142		2,399	523	142				.400	.547	.947	961	335.4	.429	137	256.2
25	Jimmie Foxx J. Foxx	.325	9,670	2,317	8,134	1,751	2,646	458	125	534	1,922	1,452	13	1,311	87		4,956	1,117	71			69	.428	.609	1.038	2135	934.1	.460	158	780.8