highest batting average in a season with 20 home runs and less than 41 home runs and 100 rbis and 100 runs 1931 to 1960

Between the 1931 and 1960 seasons, Ted Williams had the highest batting average with 100+ RBIs with <41 home runs with 20+ home runs and with 100+ runs in a season, with an average of .406 in 1941.

Interpreted as:

highest batting average by a player in a season with 20 or more home runs and less than 41 home runs and 100 or more rbis and 100 or more runs 1931 to 1960

	NAME	AVG	HR	RBI	R	SEASON	TM	G	AB	H	2B	3B	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	OBP	SLG	OPS	WRC	WRAA	WOBA	WRC+	BRAA
1	Ted Williams T. Williams	.406	37	120	135	1941	BSA	143	456	185	33	3	147	3	27	2	4	606	335	73	0			10	.553	.735	1.287	179	108.8	.568	221	96.9
2	Al Simmons A. Simmons	.390	22	128	105	1931	PHA	128	513	200	37	13	47	3	45	3	3	563	329	72	0				.444	.641	1.085	135	65.1	.484	176	57.9
3	Joe DiMaggio J. DiMaggio	.381	30	126	108	1939	NYY	120	462	176	32	6	52	4	20	3	0	524	310	68	6			11	.448	.671	1.119	129	64	.495	180	58.5
4	Earl Averill E. Averill	.378	28	126	136	1936	CLE	152	614	232	39	15	65	1	35	3	3	682	385	82	2				.438	.627	1.065	160	70.4	.473	153	55.7
5	Stan Musial S. Musial	.376	39	131	135	1948	SLN	155	611	230	46	18	79	3	34	7		694	429	103	1			18	.450	.702	1.152	174	92.3	.512	201	86.4
6	Joe Medwick J. Medwick	.374	31	154	111	1937	SLN	156	633	237	56	10	41	2	50	4		677	406	97	1			11	.414	.641	1.056	153	68	.467	180	67.4
7	Ted Williams T. Williams	.369	25	127	124	1948	BSA	137	509	188	44	3	126	3	41	4	0	638	313	72	0			10	.497	.615	1.112	156	81	.504	184	68.8
8	Chuck Klein C. Klein	.368	28	120	101	1933	PHN	152	606	223	44	7	56	1	36	15		667	365	79	4			3	.422	.602	1.025	145	67.7	.463	177	58.9
9	Johnny Mize J. Mize	.364	25	113	103	1937	SLN	145	560	204	40	7	56	5	57	2		621	333	72	0			5	.427	.595	1.021	135	57.1	.456	174	56.5
10	Jimmie Foxx J. Foxx	.360	35	105	130	1939	BSA	124	467	168	31	10	89	2	72	4	3	563	324	76	5			17	.464	.694	1.158	144	74.3	.507	181	63.5
11	Joe DiMaggio J. DiMaggio	.357	30	125	122	1941	NYY	139	541	193	43	11	76	4	13	4	2	621	348	84	0			6	.440	.643	1.083	144	72.3	.486	181	66.6
12	Ted Williams T. Williams	.356	36	137	141	1942	BSA	150	522	186	34	5	145	4	51	3	2	671	338	75	0			12	.499	.648	1.147	168	96.2	.524	209	86.5
13	Stan Musial S. Musial	.355	32	108	124	1951	SLN	152	578	205	30	12	98	1	40	4	5	678	355	74	1			6	.449	.614	1.063	153	73.6	.475	180	67.8
14	Hank Aaron H. Aaron	.355	39	123	116	1959	MIL	154	629	223	46	7	51	4	54	8	0	693	400	92	0	9	17	19	.401	.636	1.037	145	66.1	.440	175	65.4
15	Joe Medwick J. Medwick	.353	23	126	132	1935	SLN	154	634	224	46	13	30	4	59	4		670	365	82	2			15	.386	.576	.962	131	47.4	.428	152	44.1
16	Tommy Holmes T. Holmes	.352	28	117	125	1945	BSN	154	636	224	47	6	70	4	9	15		713	367	81	3			11	.420	.577	.997	146	69.1	.463	171	60.8
17	Lou Gehrig L. Gehrig	.351	37	158	138	1937	NYY	157	569	200	37	9	127	4	49	4	3	700	366	83	0				.473	.643	1.116	173	85.5	.494	176	76.5
18	Bill Terry B. Terry	.350	28	117	124	1932	NYG	154	643	225	42	11	32	1	23	4		677	373	81	1				.382	.580	.962	133	48.2	.424	156	48.8
19	Johnny Mize J. Mize	.349	28	108	104	1939	SLN	153	564	197	44	14	92	4	49	0		670	353	86	10			9	.444	.626	1.070	154	71	.475	178	65.5
20	Lou Gehrig L. Gehrig	.349	34	151	138	1932	NYY	156	596	208	42	9	108	3	38	4	11	708	370	85	1				.451	.621	1.072	167	77.9	.472	174	73.4
21	Chuck Klein C. Klein	.348	38	137	152	1932	PHN	154	650	226	50	15	60	1	49	20		711	420	103	0				.404	.646	1.050	159	69.9	.457	163	57.1
22	Stan Musial S. Musial	.346	28	109	105	1950	SLN	146	555	192	41	7	87	3	36	5		645	331	76	0			11	.437	.596	1.034	140	60.2	.460	168	56.5
23	Jimmie Foxx J. Foxx	.346	36	115	118	1935	PHA	147	535	185	33	7	114	0	99	6	4	649	340	76	0				.461	.636	1.096	157	75.6	.485	175	67.4
24	Ted Williams T. Williams	.344	23	113	134	1940	BSA	144	561	193	43	14	96	3	54	4	4	661	333	80	1			13	.442	.594	1.036	146	66.4	.461	159	53.1
25	Ted Williams T. Williams	.343	32	114	125	1947	BSA	156	528	181	40	9	162	2	47	0	1	693	335	81	1			10	.499	.634	1.133	170	91.3	.508	207	86.2