The Boston Red Sox had the most runs per game by a team in 2013, with 5.27.

	TEAM	R/G	R	G	SEASON	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Red Sox	5.27	853	162	2013	.599	97	65	5,651	1,566	363	29	178	819	581	72	1,308	123	19	6,378	2,521	570	24	50	51	137	.277	.349	.446	.795
2	Tigers	4.91	796	162	2013	.574	93	69	5,735	1,625	292	23	176	767	531	43	1,073	35	20	6,388	2,491	491	32	47	40	146	.283	.346	.434	.780
3	Cardinals	4.83	783	162	2013	.599	97	65	5,557	1,494	322	20	125	745	481	64	1,110	45	22	6,202	2,231	467	56	44	38	154	.269	.332	.401	.733
4	Athletics	4.73	767	162	2013	.593	96	66	5,521	1,403	301	25	186	725	573	45	1,178	74	28	6,209	2,312	512	21	49	29	108	.254	.327	.419	.745
5	Indians	4.6	745	162	2013	.568	92	70	5,465	1,391	290	23	171	711	562	51	1,283	117	36	6,165	2,240	484	31	56	19	106	.255	.327	.410	.737
6	Orioles	4.6	745	162	2013	.525	85	77	5,620	1,460	298	14	212	719	416	36	1,125	79	29	6,144	2,422	524	27	45	36	105	.260	.313	.431	.744
7	Angels	4.52	733	162	2013	.481	78	84	5,588	1,476	270	39	164	696	523	48	1,221	82	34	6,260	2,316	473	37	64	40	150	.264	.329	.414	.743
8	Rangers	4.48	730	163	2013	.558	91	72	5,585	1,465	262	23	176	691	462	61	1,067	149	46	6,195	2,301	461	45	42	26	124	.262	.323	.412	.735
9	Blue Jays	4.4	712	162	2013	.457	74	88	5,537	1,398	273	24	185	669	510	38	1,123	112	41	6,152	2,274	482	29	38	19	133	.252	.318	.411	.729
10	Rockies	4.36	706	162	2013	.457	74	88	5,599	1,511	283	36	159	673	427	26	1,204	112	32	6,152	2,343	478	65	35	26	111	.270	.323	.418	.741
11	Reds	4.31	698	162	2013	.556	90	72	5,499	1,370	274	20	155	664	585	76	1,245	67	35	6,291	2,149	449	85	46	65	129	.249	.327	.391	.718
12	Rays	4.29	700	163	2013	.564	92	71	5,538	1,421	296	23	165	670	589	36	1,171	73	38	6,242	2,258	484	24	55	31	140	.257	.329	.408	.737
13	Braves	4.25	688	162	2013	.593	96	66	5,441	1,354	247	21	181	656	542	55	1,384	64	31	6,131	2,186	449	58	35	36	119	.249	.321	.402	.723
14	Diamondbacks	4.23	685	162	2013	.500	81	81	5,676	1,468	302	31	130	647	519	43	1,142	62	41	6,331	2,222	463	50	43	51	160	.259	.323	.391	.715
15	Nationals	4.05	656	162	2013	.531	86	76	5,436	1,365	259	27	161	621	464	40	1,192	88	28	6,047	2,161	447	68	39	35	115	.251	.313	.398	.710
16	Yankees	4.01	650	162	2013	.525	85	77	5,449	1,321	247	24	144	614	466	57	1,214	115	31	6,044	2,048	415	36	36	33	121	.242	.307	.376	.683
17	Dodgers	4.01	649	162	2013	.568	92	70	5,491	1,447	281	17	138	618	476	57	1,146	78	28	6,143	2,176	436	71	48	45	130	.264	.326	.396	.722
18	Royals	4	648	162	2013	.531	86	76	5,549	1,443	254	34	112	620	422	42	1,048	153	32	6,092	2,101	400	37	42	38	131	.260	.315	.379	.694
19	Brewers	3.95	640	162	2013	.457	74	88	5,474	1,381	238	43	157	610	407	71	1,183	142	50	6,064	2,176	438	77	35	22	116	.252	.311	.398	.708
20	Pirates	3.91	634	162	2013	.580	94	68	5,486	1,346	273	35	161	603	469	88	1,330	94	42	6,134	2,172	469	62	29	41	120	.245	.313	.396	.709
21	Giants	3.88	629	162	2013	.469	76	86	5,552	1,446	280	35	107	596	469	39	1,078	67	26	6,168	2,117	422	66	42	40	131	.260	.320	.381	.702
22	Mariners	3.85	624	162	2013	.438	71	91	5,558	1,318	249	17	188	597	529	31	1,353	49	23	6,172	2,165	454	26	28	21	122	.237	.306	.390	.695
23	Mets	3.82	619	162	2013	.457	74	88	5,559	1,318	263	32	130	593	512	51	1,384	114	35	6,207	2,035	425	53	32	40	106	.237	.306	.366	.672
24	Padres	3.81	618	162	2013	.469	76	86	5,517	1,349	246	26	146	578	467	52	1,309	118	34	6,122	2,085	418	52	34	36	99	.245	.308	.378	.686
25	Twins	3.79	614	162	2013	.407	66	96	5,564	1,346	285	15	151	590	533	52	1,430	52	33	6,210	2,114	451	29	32	20	103	.242	.312	.380	.692