The Cleveland Indians had the most runs per game by a team in 1920, with 5.56.

	TEAM	R/G	R	G	SEASON	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	AVG	OBP	SLG	OPS
1	Indians	5.56	856	154	1920	.636	98	56	5,203	1,575	301	95	35	757	574	36	376	73	93	6,067	2,171	431	254	.303	.376	.417	.793
2	Yankees	5.44	837	154	1920	.617	95	59	5,174	1,447	268	71	115	751	532	23	621	64	81	5,901	2,202	454	172	.280	.349	.426	.775
3	Browns	5.18	797	154	1920	.497	76	77	5,359	1,650	278	84	50	707	425	38	338	121	78	6,029	2,246	412	207	.308	.363	.419	.782
4	White Sox	5.16	794	154	1920	.623	96	58	5,330	1,574	263	98	37	694	474	38	350	109	94	6,030	2,144	398	188	.295	.357	.402	.759
5	Senators	4.73	724	153	1920	.447	68	84	5,252	1,525	232	81	36	616	435	54	538	160	110	5,940	2,027	349	199	.290	.351	.386	.737
6	Giants	4.4	682	155	1920	.558	86	68	5,309	1,427	210	76	46	590	432	26	545	131	113	5,891	1,927	332	124	.269	.327	.363	.690
7	Cardinals	4.35	675	155	1920	.487	75	79	5,495	1,589	238	96	32	600	373	26	484	126	114	6,086	2,115	366	192	.289	.337	.385	.722
8	Robins	4.26	660	155	1920	.604	93	61	5,399	1,493	205	99	28	566	359	19	391	70	80	5,966	1,980	332	189	.277	.324	.367	.691
9	Red Sox	4.22	650	154	1920	.471	72	81	5,189	1,397	216	71	22	569	527	45	428	98	110	5,980	1,821	309	219	.269	.342	.351	.693
10	Tigers	4.21	652	155	1920	.396	61	93	5,212	1,406	228	72	30	561	485	20	389	76	68	5,933	1,868	330	216	.270	.334	.358	.693
11	Reds	4.15	639	154	1920	.536	82	71	5,176	1,432	169	76	18	546	382	47	367	158	128	5,799	1,807	263	194	.277	.332	.349	.681
12	Cubs	4.02	619	154	1920	.487	75	79	5,117	1,350	223	67	34	535	428	46	421	115	129	5,811	1,809	324	220	.264	.326	.354	.680
13	Phillies	3.69	565	153	1920	.405	62	91	5,264	1,385	229	54	64	483	283	36	531	100	83	5,742	1,914	347	159	.263	.305	.364	.669
14	Athletics	3.58	558	156	1920	.312	48	106	5,263	1,325	219	49	44	465	352	45	575	50	67	5,829	1,774	312	169	.252	.304	.337	.641
15	Pirates	3.42	530	155	1920	.513	79	75	5,219	1,342	162	90	16	449	374	29	405	181	117	5,796	1,732	268	174	.257	.310	.332	.642
16	Braves	3.42	523	153	1920	.408	62	90	5,218	1,358	168	86	23	456	385	33	488	88	98	5,802	1,767	277	166	.260	.315	.339	.654