Billy Hamilton had the most runs per game with 162+ games played, with 1.06.

Interpreted as:

most runs per game by a player, minimum 162 games

	NAME	R/G	G	R	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	PA	TB	XBH	SH	GIDP	AVG	OBP	SLG	OPS	WRC	WRAA	WOBA	WRC+	BRAA
1	Billy Hamilton B. Hamilton	1.06	1,594	1,697	6,283	2,164	242	95	40	742	1,189	89	271	914	7,608	2,716	377	47		.344	.455	.432	.888	1716	578.6	.433	142	505.5
2	Ross Barnes R. Barnes	1.02	234	239	1,032	329	45	17	2		59				1,091	414	64			.319		.401		213	58.2	.349	133	54.1
3	George Gore G. Gore	1.01	1,310	1,327	5,357	1,612	262	94	46	358	717	30	56	170	6,104	2,200	402			.301	.386	.411	.797	1235	351	.377	131	282.3
4	Harry Stovey H. Stovey	1	1,486	1,492	6,138	1,771	347	174	122	675	663	22	134	509	6,832	2,832	643			.289	.361	.461	.822	1384	392.4	.380	132	326.1
5	Hub Collins H. Collins	0.96	680	653	2,779	790	127	38	11	319	332	19	76	335	3,130	1,026	176			.284	.365	.369	.734	545	77.8	.356	116	72.2
6	King Kelly K. Kelly	0.93	1,455	1,357	5,894	1,813	359	102	69	550	549	12	77	368	6,455	2,583	530			.308	.368	.438	.806	1302	371.1	.375	130	291.8
7	John McGraw J. McGraw	0.93	1,100	1,024	3,924	1,309	121	70	13	462	836	134	155	436	4,940	1,609	204	46		.334	.466	.410	.876	1083	354	.433	141	309
8	Mike Griffin M. Griffin	0.93	1,513	1,406	5,923	1,755	314	108	42	720	809	78	185	473	6,848	2,411	464	38		.296	.388	.407	.795	1294	256.4	.383	122	238.9
9	Dan Brouthers D. Brouthers	0.91	1,673	1,523	6,711	2,296	460	205	106	994	840	105	83	256	7,676	3,484	771	20		.342	.423	.519	.942	1874	728.6	.436	155	655.7
10	Arlie Latham A. Latham	0.91	1,629	1,481	6,832	1,836	245	85	27	560	589	68	163	742	7,524	2,332	357	18		.269	.334	.341	.676	1158	19.6	.326	95	-53.7
11	Bill Joyce B. Joyce	0.91	906	822	3,310	971	153	106	70	609	721	108	303	266	4,163	1,546	329	24		.293	.435	.467	.902	933	302.4	.430	139	267.6
12	Hugh Duffy H. Duffy	0.89	1,737	1,554	7,044	2,293	325	119	106	1,302	664	29	186	574	7,841	3,174	550	104		.326	.386	.451	.837	1526	360.4	.395	118	242.5
13	Sam Thompson S. Thompson	0.89	1,410	1,261	5,998	1,988	343	161	126	1,305	451	63	101	232	6,525	3,031	630	13		.331	.384	.505	.890	1414	415	.410	135	375.3
14	Mike Tiernan M. Tiernan	0.89	1,478	1,316	5,915	1,838	257	162	106	853	748	41	218	428	6,732	2,737	525	28		.311	.392	.463	.855	1365	343.1	.402	131	326.1
15	Eddie Burke E. Burke	0.87	855	747	3,516	983	142	57	30	413	319	76	196	293	3,938	1,329	229	27		.280	.352	.378	.730	619	-1.6	.352	96	-27.4
16	Lou Gehrig L. Gehrig	0.87	2,164	1,888	8,001	2,721	534	163	493	1,995	1,508	45	790	102	9,660	5,060	1,190	106	2	.340	.447	.632	1.080	2265	1,046.8	.477	173	980
17	Jud Birchall J. Birchall	0.87	225	196	1,007	254	24	4	1		32				1,044	289	29			.252	.279	.287	.566	137	-15.8	.262	86	-21.6
18	Ed Delahanty E. Delahanty	0.87	1,837	1,600	7,511	2,597	522	186	101	1,466	741	94	366	455	8,400	3,794	809	54		.346	.411	.505	.916	1836	616.8	.428	144	559.3
19	Babe Ruth B. Ruth	0.87	2,503	2,174	8,399	2,873	506	136	714	2,214	2,062	43	1,330	123	10,617	5,793	1,356	113		.342	.474	.690	1.164	2727	1,436.8	.513	197	1,369.6
20	Jake Stenzel J. Stenzel	0.86	768	664	3,031	1,024	190	71	32	533	300	58	110	292	3,425	1,452	293	36		.338	.408	.479	.887	718	185.3	.415	129	170.1
21	Buck Ewing B. Ewing	0.86	1,315	1,129	5,363	1,625	250	178	71	742	392	9	93	354	5,772	2,444	499	8		.303	.351	.456	.807	1109	243.9	.372	122	194
22	Cal McVey C. McVey	0.86	265	227	1,199	393	52	17	3		23				1,222	488	72			.328		.407		234	60.4	.343	131	56.5
23	Abner Dalrymple A. Dalrymple	0.85	951	813	4,172	1,202	217	81	43	154	204	8	18	58	4,384	1,710	341			.288	.323	.410	.732	777	153.5	.335	117	104.7
24	Jim McTamany J. McTamany	0.85	813	693	3,102	794	135	58	19	334	535	35	92	255	3,682	1,102	212			.256	.373	.355	.728	659	111	.358	118	100.4
25	Tom Brown T. Brown	0.85	1,788	1,521	7,372	1,951	238	138	64	649	748	33	508	657	8,205	2,657	440	39		.265	.336	.360	.697	1268	26.6	.334	100	-9.8