The Cincinnati Reds had the most runs per game by a team in 1918, with 4.11.

	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	Reds	4.11	530	129	1918	.531	68	60	4,265	1,185	165	84	15	447	304	31	303	128	4,762	1,563	264	162	.278	.330	.366	.697
2	Cubs	4.11	538	131	1918	.651	84	45	4,325	1,147	164	53	21	438	358	27	343	159	4,900	1,480	238	190	.265	.325	.342	.667
3	Indians	3.91	505	129	1918	.575	73	54	4,166	1,084	176	67	9	423	491	42	386	171	4,866	1,421	252	167	.260	.344	.341	.685
4	Yankees	3.91	493	126	1918	.488	60	63	4,224	1,085	160	45	20	406	367	23	370	92	4,783	1,395	225	169	.257	.320	.330	.650
5	Giants	3.87	480	124	1918	.573	71	53	4,164	1,081	150	53	13	400	271	33	365	130	4,589	1,376	216	121	.260	.310	.330	.640
6	Red Sox	3.75	473	126	1918	.595	75	51	3,982	990	159	54	15	385	407	27	324	110	4,607	1,302	228	191	.249	.322	.327	.649
7	Tigers	3.72	476	128	1918	.437	55	71	4,262	1,063	141	56	13	411	452	22	380	123	4,878	1,355	210	142	.249	.325	.318	.642
8	Pirates	3.7	466	126	1918	.520	65	60	4,091	1,016	107	72	15	391	371	25	285	200	4,667	1,312	194	180	.248	.315	.321	.635
9	White Sox	3.69	457	124	1918	.460	57	67	4,132	1,057	136	55	8	375	375	27	358	119	4,695	1,327	199	161	.256	.322	.321	.643
10	Senators	3.55	461	130	1918	.563	72	56	4,472	1,144	156	49	4	404	376	35	361	137	5,017	1,410	209	134	.256	.318	.315	.634
11	Cardinals	3.47	454	131	1918	.395	51	78	4,369	1,066	147	64	27	388	329	24	461	119	4,863	1,422	238	141	.244	.301	.325	.626
12	Browns	3.46	426	123	1918	.475	58	64	4,019	1,040	152	40	5	360	397	35	340	139	4,627	1,287	197	176	.259	.331	.320	.651
13	Phillies	3.44	430	125	1918	.447	55	68	4,192	1,022	158	28	25	376	346	20	400	97	4,677	1,311	211	119	.244	.305	.313	.617
14	Braves	3.42	424	124	1918	.427	53	71	4,162	1,014	107	59	13	353	350	28	438	83	4,691	1,278	179	151	.244	.307	.307	.614
15	Athletics	3.17	412	130	1918	.406	52	76	4,278	1,039	124	44	22	356	343	26	485	83	4,771	1,317	190	124	.243	.303	.308	.611
16	Robins	2.86	360	126	1918	.452	57	69	4,212	1,052	121	62	10	303	212	36	326	113	4,578	1,327	193	118	.250	.291	.315	.607