The Chicago White Sox had the most runs per game by a team in 1919, with 4.77.

	TEAM	R/G	R	G	SEASON	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	PA	TB	XBH	SH	AVG	OBP	SLG	OPS
1	White Sox	4.77	668	140	1919	.629	88	52	4,675	1,343	218	70	25	571	427	34	358	150	5,360	1,776	313	224	.287	.351	.380	.731
2	Indians	4.56	634	139	1919	.604	84	55	4,565	1,268	254	72	24	547	498	38	367	117	5,325	1,738	350	224	.278	.354	.381	.734
3	Tigers	4.41	618	140	1919	.571	80	60	4,665	1,319	222	84	23	538	429	25	427	121	5,330	1,778	329	211	.283	.346	.381	.727
4	Giants	4.32	605	140	1919	.621	87	53	4,664	1,254	204	64	40	505	328	37	407	157	5,157	1,706	308	128	.269	.322	.366	.688
5	Reds	4.13	578	140	1919	.686	96	44	4,577	1,204	135	83	20	489	405	33	368	143	5,214	1,565	238	199	.263	.327	.342	.669
6	Yankees	4.13	582	141	1919	.576	80	59	4,775	1,275	193	49	45	494	386	32	479	101	5,363	1,701	287	170	.267	.326	.356	.682
7	Red Sox	4.09	564	138	1919	.482	66	71	4,548	1,188	181	49	33	495	471	45	411	108	5,254	1,566	263	190	.261	.336	.344	.681
8	Browns	3.82	535	140	1919	.482	67	72	4,672	1,234	187	73	31	460	391	35	443	74	5,299	1,660	291	201	.264	.326	.355	.681
9	Senators	3.75	533	142	1919	.400	56	84	4,757	1,238	177	63	24	459	416	40	511	142	5,375	1,613	264	162	.260	.325	.339	.664
10	Robins	3.72	525	141	1919	.493	69	71	4,844	1,272	167	66	25	452	258	28	405	112	5,283	1,646	258	153	.263	.304	.340	.644
11	Phillies	3.7	510	138	1919	.343	47	90	4,746	1,191	208	50	42	436	323	28	469	114	5,220	1,625	300	123	.251	.303	.342	.645
12	Pirates	3.4	472	139	1919	.511	71	68	4,538	1,132	130	82	17	394	344	24	381	196	5,049	1,477	229	143	.249	.306	.325	.631
13	Cardinals	3.36	463	138	1919	.394	54	83	4,588	1,175	163	52	18	398	304	18	418	148	5,052	1,496	233	142	.256	.305	.326	.631
14	Braves	3.32	465	140	1919	.410	57	82	4,746	1,201	142	62	24	399	355	42	481	145	5,299	1,539	228	156	.253	.311	.324	.635
15	Athletics	3.28	459	140	1919	.257	36	104	4,730	1,156	175	71	35	396	349	30	565	103	5,234	1,578	281	125	.244	.300	.334	.634
16	Cubs	3.24	454	140	1919	.536	75	65	4,581	1,174	166	58	21	387	298	42	359	150	5,088	1,519	245	167	.256	.308	.332	.639