Distributions

League-wide player histograms · 1368 games played · 1479 qualifying batters (26+ PA) · 969 qualifying pitchers (26+ outs)
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Marking Mariyon Entringer KL on every histogram below. Compare ↗

Batting distributions

PAVG n=1479 · μ=0.301 · σ=0.111
0.000
3
0.056
43
0.113
120
0.169
239
0.226
288
0.282
260
0.339
220
0.395
155
0.452
91
0.508
42
0.565
16
0.621
2
10th25th Median 75th90th 95th99th
0.162 0.217 0.293 0.373 0.454 0.500 0.572
OPS n=1479 · μ=0.964 · σ=0.358
0.139
16
0.331
108
0.524
292
0.717
313
0.909
278
1.102
197
1.294
131
1.487
90
1.680
34
1.872
17
2.065
2
2.257
1
10th25th Median 75th90th 95th99th
0.543 0.691 0.917 1.184 1.479 1.635 1.898
OPS+ n=1479 · μ=103 · σ=37.253
16
13
36
105
56
274
76
315
97
287
117
203
137
144
157
82
177
38
198
13
218
4
238
1
10th25th Median 75th90th 95th99th
59 75 98 126 155 172 204
wOBA n=1479 · μ=0.456 · σ=0.198
0.051
38
0.162
228
0.273
346
0.384
329
0.494
216
0.605
147
0.716
103
0.827
41
0.938
24
1.048
6
1.159
0
1.270
1
10th25th Median 75th90th 95th99th
0.229 0.304 0.421 0.571 0.735 0.826 1.007
BAVG n=1479 · μ=0.360 · σ=0.136
0.000
3
0.067
41
0.135
130
0.202
241
0.269
292
0.337
247
0.404
204
0.471
147
0.538
102
0.606
51
0.673
16
0.740
5
10th25th Median 75th90th 95th99th
0.194 0.258 0.348 0.452 0.553 0.603 0.687
ISO n=1479 · μ=0.209 · σ=0.145
0.000
294
0.082
380
0.165
325
0.247
199
0.329
123
0.411
81
0.494
48
0.576
19
0.658
8
0.741
1
0.823
0
0.905
1
10th25th Median 75th90th 95th99th
0.051 0.100 0.180 0.289 0.419 0.500 0.621
BABIP n=1479 · μ=0.464 · σ=0.136
0.000
2
0.076
9
0.152
41
0.227
114
0.303
246
0.379
319
0.455
272
0.530
241
0.606
152
0.682
60
0.758
19
0.833
4
10th25th Median 75th90th 95th99th
0.294 0.366 0.458 0.556 0.645 0.689 0.792
K% n=1479 · μ=23.9% · σ=10.3%
0.0%
23
5.6%
127
11.1%
259
16.7%
264
22.2%
279
27.8%
230
33.3%
179
38.9%
76
44.4%
25
50.0%
11
55.6%
2
61.1%
4
10th25th Median 75th90th 95th99th
10.9% 15.6% 23.5% 30.9% 37.5% 41.2% 50.0%
BB% n=1479 · μ=13.2% · σ=5.4%
0.0%
15
2.8%
73
5.6%
186
8.3%
269
11.1%
299
13.9%
257
16.7%
195
19.4%
91
22.2%
53
25.0%
32
27.8%
8
30.6%
1
10th25th Median 75th90th 95th99th
6.7% 9.4% 12.9% 16.7% 20.4% 23.1% 26.9%
2C-RBI% n=1479 · μ=3.7% · σ=6.7%
0.0%
1038
4.2%
146
8.3%
132
12.5%
69
16.7%
47
20.8%
16
25.0%
18
29.2%
1
33.3%
7
37.5%
3
41.7%
1
45.8%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 12.5% 17.9% 28.6%
2C-Conv% n=1479 · μ=36.7% · σ=47.5%
0.0%
919
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
21
58.3%
0
66.7%
14
75.0%
6
83.3%
2
91.7%
517
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1479 · μ=0.4% · σ=1.0%
0.0%
1254
0.6%
7
1.3%
79
1.9%
48
2.6%
32
3.2%
22
3.8%
21
4.5%
8
5.1%
1
5.8%
2
6.4%
3
7.1%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.8% 2.9% 4.5%
RISP-AVG n=1479 · μ=0.295 · σ=0.121
0.000
19
0.069
114
0.139
257
0.208
301
0.278
305
0.347
238
0.417
144
0.486
72
0.556
24
0.625
4
0.694
0
0.764
1
10th25th Median 75th90th 95th99th
0.143 0.200 0.286 0.379 0.464 0.500 0.579
RISP-OPS n=1479 · μ=0.952 · σ=0.376
0.071
11
0.283
118
0.495
315
0.706
311
0.918
294
1.130
191
1.341
125
1.553
72
1.765
32
1.976
7
2.188
2
2.399
1
10th25th Median 75th90th 95th99th
0.512 0.667 0.907 1.200 1.500 1.632 1.912
RISP-Conv n=1479 · μ=0.39 · σ=0.181
0.00
34
0.09
110
0.18
291
0.27
295
0.36
271
0.45
198
0.54
122
0.63
82
0.72
44
0.81
23
0.90
4
0.99
5
10th25th Median 75th90th 95th99th
0.18 0.25 0.36 0.50 0.64 0.72 0.88
WAR n=1479 · μ=0.23 · σ=0.590
-1.07
16
-0.65
261
-0.23
591
0.20
324
0.62
137
1.04
81
1.46
39
1.88
18
2.30
7
2.73
4
3.15
0
3.57
1
10th25th Median 75th90th 95th99th
-0.33 -0.16 0.09 0.46 1.04 1.43 2.15

Pitching distributions

wERA n=969 · μ=11.86 · σ=4.580
1.14
5
3.66
54
6.17
186
8.68
242
11.20
215
13.71
●
121
16.22
70
18.73
31
21.25
22
23.76
9
26.27
9
28.79
5
10th25th Median 75th90th 95th99th
6.82 8.62 11.15 14.11 17.85 20.89 26.72
Highlighted player: 15.30 · approximate percentile: 75–90th
xRA n=969 · μ=11.86 · σ=4.580
1.14
5
3.66
54
6.17
186
8.68
242
11.20
215
13.71
●
121
16.22
70
18.73
31
21.25
22
23.76
9
26.27
9
28.79
5
10th25th Median 75th90th 95th99th
6.82 8.62 11.15 14.11 17.85 20.89 26.72
Highlighted player: 15.30 · approximate percentile: 75–90th
Decay n=688 · μ=+1.8 · σ=21.945
-80.1
5
-67.1
6
-54.0
9
-40.9
29
-27.8
90
-14.8
156
-1.7
185
+11.4
111
+24.5
68
+37.5
20
+50.6
4
+63.7
●
4
10th25th Median 75th90th 95th99th
-24.0 -10.7 +2.0 +15.1 +29.2 +35.9 +53.3
Highlighted player: +999.9 · approximate percentile: ≥ 99th
GSc avg n=969 · μ=49.5 · σ=5.604
30.2
6
34.5
22
38.7
●
89
43.0
190
47.2
320
51.4
231
55.7
82
59.9
22
64.2
6
68.4
0
72.6
0
76.9
1
10th25th Median 75th90th 95th99th
42.4 46.0 49.8 53.1 56.2 58.3 63.5
Highlighted player: 41.4 · approximate percentile: ≤ 10th
GSc+ n=969 · μ=102 · σ=11.275
63
9
71
18
80
82
89
●
223
98
317
106
225
115
68
124
20
132
6
141
0
150
0
159
1
10th25th Median 75th90th 95th99th
88 95 102 109 115 120 130
Highlighted player: 90 · approximate percentile: 10–25th
FOP n=969 · μ=61 · σ=10.119
23
3
29
5
34
13
39
29
44
●
59
49
118
54
132
59
184
64
208
69
143
75
58
80
17
10th25th Median 75th90th 95th99th
48 55 63 69 74 76 81
Highlighted player: 45 · approximate percentile: ≤ 10th
OS+ n=969 · μ=121 · σ=57.836
42
130
67
248
93
221
119
●
127
145
63
170
50
196
54
222
29
247
24
273
14
299
4
324
5
10th25th Median 75th90th 95th99th
63 80 106 145 209 246 294
Highlighted player: 124 · approximate percentile: 50–75th
GE n=969 · μ=2.1 · σ=1.097
1.0
372
1.5
211
2.0
151
2.4
●
86
2.9
34
3.4
23
3.9
35
4.4
25
4.9
15
5.4
11
5.9
4
6.4
2
10th25th Median 75th90th 95th99th
1.1 1.3 1.7 2.4 3.8 4.6 5.7
Highlighted player: 2.5 · approximate percentile: 75–90th
K% n=969 · μ=33.0% · σ=9.1%
6.2%
3
11.0%
17
15.8%
58
20.5%
114
25.3%
187
30.1%
●
192
34.8%
170
39.6%
116
44.4%
70
49.1%
29
53.9%
7
58.7%
6
10th25th Median 75th90th 95th99th
21.4% 26.7% 32.5% 39.1% 45.0% 48.6% 56.2%
Highlighted player: 31.7% · approximate percentile: 25–50th
BB% n=969 · μ=13.3% · σ=4.6%
0.0%
10
2.5%
19
4.9%
66
7.4%
119
9.8%
210
12.3%
●
183
14.8%
176
17.2%
101
19.7%
51
22.2%
24
24.6%
5
27.1%
5
10th25th Median 75th90th 95th99th
7.6% 10.2% 13.1% 16.1% 19.4% 20.9% 24.9%
Highlighted player: 12.9% · approximate percentile: 25–50th
HR% n=969 · μ=2.7% · σ=2.5%
0.0%
350
1.5%
248
2.9%
151
4.4%
106
5.9%
61
7.4%
27
8.8%
●
14
10.3%
7
11.8%
3
13.2%
1
14.7%
0
16.2%
1
10th25th Median 75th90th 95th99th
0.0% 0.9% 2.2% 4.1% 6.2% 7.6% 10.7%
Highlighted player: 8.9% · approximate percentile: 95–99th
K-BB% n=969 · μ=12.5% · σ=11.0%
-18.2%
10
-11.9%
34
-5.6%
95
0.6%
160
6.9%
●
231
13.2%
197
19.5%
124
25.8%
84
32.0%
18
38.3%
9
44.6%
6
50.9%
1
10th25th Median 75th90th 95th99th
-1.4% 5.3% 12.3% 19.5% 27.0% 30.4% 41.0%
Highlighted player: 10.9% · approximate percentile: 25–50th
oAVG n=969 · μ=0.333 · σ=0.092
0.071
6
0.120
20
0.169
77
0.218
120
0.267
215
0.316
●
204
0.365
157
0.414
84
0.463
50
0.512
23
0.561
9
0.610
4
10th25th Median 75th90th 95th99th
0.217 0.273 0.328 0.389 0.455 0.491 0.568
Highlighted player: 0.356 · approximate percentile: 50–75th
WAR n=969 · μ=0.35 · σ=0.555
-1.15
9
-0.79
32
-0.44
●
125
-0.09
314
0.27
262
0.62
116
0.97
50
1.33
26
1.68
24
2.03
7
2.38
3
2.74
1
10th25th Median 75th90th 95th99th
-0.23 0.03 0.27 0.59 1.09 1.48 2.07
Highlighted player: -0.10 · approximate percentile: 10–25th
Methodology
Each histogram is a 12-bucket equal-width binning of the qualifying-player population's values. Bucket bounds run from min to max across the population — no fixed domain. The labels on the left are the bucket's lower bound; the count on the right is how many players fell into it. Bar widths are normalized to the largest-count bucket (so the longest bar = 100% of the panel width).

Qualifying thresholds are the same as on the Leaders page — ~1× games-per-team in PA for batters and outs for pitchers, scaled with games played.

Percentiles use linear interpolation (matches numpy percentile() default). σ is population standard deviation across the qualifying group.

The Decay distribution is restricted to pitchers with cross-arc sample (faced batters in both arc-1 and arc-3), so the n on that panel is lower than the rest of the pitching panels. Pitchers without enough sample to compute Decay aren't binned.

xRA is the non-negative linear-weights expected runs allowed (HR=1.4, single≈0.45, BB/HBP=0.32, K/out=0), multiplicatively anchored so league xRA matches league xRA. K-BB% is plain (K - BB) / BF.
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