The New York Giants had the most runs per game by a team in 1924, 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	Giants	5.56	857	154	1924	.608	93	60	5,445	1,634	269	81	95	781	467	28	479	82	53	6,067	2,350	445	127	.300	.358	.432	.790
2	Tigers	5.44	849	156	1924	.558	86	68	5,382	1,604	315	76	35	769	617	40	395	100	76	6,263	2,176	426	224	.298	.374	.404	.779
3	Yankees	5.22	799	153	1924	.586	89	63	5,226	1,519	249	86	98	731	479	27	418	69	67	5,918	2,234	433	186	.291	.353	.427	.781
4	White Sox	5.16	794	154	1924	.431	66	87	5,240	1,512	255	59	41	710	608	35	417	137	89	6,116	2,008	355	233	.289	.366	.383	.750
5	Browns	5	765	153	1924	.487	74	78	5,222	1,539	264	62	67	679	459	35	350	85	85	5,908	2,128	393	192	.295	.356	.408	.763
6	Indians	4.94	756	153	1924	.438	67	86	5,329	1,588	309	60	41	682	491	47	363	85	57	6,027	2,140	410	160	.298	.362	.402	.764
7	Senators	4.83	753	156	1924	.597	92	62	5,303	1,561	256	88	22	688	507	55	388	116	85	6,099	2,059	366	234	.294	.362	.388	.750
8	Cardinals	4.81	740	154	1924	.422	65	89	5,349	1,552	270	87	67	672	382	33	418	86	86	5,909	2,197	424	145	.290	.341	.411	.752
9	Pirates	4.73	724	153	1924	.588	90	63	5,288	1,517	222	122	44	658	366	28	396	181	92	5,833	2,115	388	151	.287	.336	.400	.736
10	Red Sox	4.7	738	157	1924	.435	67	87	5,336	1,479	302	63	30	668	603	46	424	78	61	6,180	1,997	395	195	.277	.356	.374	.730
11	Robins	4.66	717	154	1924	.597	92	62	5,339	1,534	227	54	72	662	447	22	357	34	46	5,951	2,085	353	143	.287	.345	.391	.735
12	Cubs	4.53	698	154	1924	.529	81	72	5,134	1,419	207	59	66	634	469	30	521	137	149	5,796	1,942	332	163	.276	.340	.378	.719
13	Athletics	4.49	683	152	1924	.467	71	81	5,187	1,460	250	59	63	608	384	39	480	77	68	5,767	2,017	372	157	.281	.336	.389	.725
14	Phillies	4.45	676	152	1924	.364	55	96	5,306	1,459	256	56	94	615	382	36	452	57	67	5,855	2,109	406	131	.275	.328	.397	.725
15	Reds	4.24	649	153	1924	.542	83	70	5,301	1,539	236	111	36	586	349	26	334	103	98	5,835	2,105	383	159	.290	.337	.397	.734
16	Braves	3.38	520	154	1924	.346	53	100	5,283	1,355	194	52	25	459	354	26	451	74	68	5,767	1,728	271	104	.256	.306	.327	.633