Distributions

League-wide player histograms · 1541 games played · 1426 qualifying batters (30+ PA) · 926 qualifying pitchers (30+ outs)
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Player ID 5351 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1426 · μ=0.297 · σ=0.110
0.033
13
0.088
70
0.142
201
0.196
258
0.251
255
0.305
229
0.360
164
0.414
131
0.468
61
0.523
34
0.577
7
0.631
3
10th25th Median 75th90th 95th99th
0.162 0.212 0.286 0.371 0.449 0.491 0.559
OPS n=1426 · μ=0.954 · σ=0.359
0.222
36
0.407
176
0.592
304
0.777
295
0.961
218
1.146
174
1.331
112
1.516
61
1.700
33
1.885
12
2.070
4
2.255
1
10th25th Median 75th90th 95th99th
0.545 0.680 0.897 1.182 1.458 1.631 1.910
OPS+ n=1426 · μ=103 · σ=37.520
27
43
46
181
66
302
85
273
104
230
123
175
143
116
162
61
181
30
201
10
220
4
239
1
10th25th Median 75th90th 95th99th
59 75 98 127 155 173 202
wOBA n=1426 · μ=0.454 · σ=0.203
0.077
71
0.187
276
0.296
331
0.406
284
0.515
186
0.625
132
0.734
78
0.844
39
0.954
20
1.063
5
1.173
3
1.282
1
10th25th Median 75th90th 95th99th
0.224 0.299 0.416 0.576 0.741 0.842 1.025
BAVG n=1426 · μ=0.355 · σ=0.136
0.045
17
0.111
86
0.176
208
0.241
266
0.306
269
0.371
194
0.437
157
0.502
118
0.567
66
0.632
32
0.697
11
0.762
2
10th25th Median 75th90th 95th99th
0.192 0.250 0.339 0.446 0.547 0.602 0.687
ISO n=1426 · μ=0.207 · σ=0.145
0.000
275
0.082
396
0.163
290
0.245
197
0.326
117
0.408
88
0.489
33
0.571
19
0.652
7
0.734
1
0.815
1
0.897
2
10th25th Median 75th90th 95th99th
0.052 0.099 0.173 0.286 0.411 0.478 0.643
BABIP n=1426 · μ=0.460 · σ=0.133
0.056
4
0.124
21
0.193
69
0.262
126
0.331
279
0.400
271
0.469
255
0.538
192
0.607
129
0.676
59
0.745
17
0.813
4
10th25th Median 75th90th 95th99th
0.289 0.367 0.455 0.553 0.636 0.682 0.776
K% n=1426 · μ=24.3% · σ=10.2%
2.8%
43
7.7%
149
12.6%
218
17.5%
233
22.4%
238
27.4%
209
32.3%
182
37.2%
95
42.1%
33
47.0%
19
51.9%
2
56.8%
5
10th25th Median 75th90th 95th99th
11.2% 16.1% 23.8% 31.7% 37.5% 41.2% 50.0%
BB% n=1426 · μ=13.2% · σ=5.1%
0.0%
10
2.6%
49
5.2%
149
7.9%
256
10.5%
275
13.1%
268
15.7%
208
18.3%
109
21.0%
57
23.6%
26
26.2%
16
28.8%
3
10th25th Median 75th90th 95th99th
6.8% 9.5% 12.9% 16.2% 20.0% 22.2% 26.3%
2C-RBI% n=1426 · μ=3.6% · σ=6.2%
0.0%
964
3.7%
157
7.4%
123
11.1%
95
14.8%
29
18.5%
29
22.2%
16
25.9%
7
29.6%
0
33.3%
3
37.0%
2
40.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 12.5% 16.7% 25.0%
2C-Conv% n=1426 · μ=38.4% · σ=47.8%
0.0%
858
8.3%
0
16.7%
0
25.0%
0
33.3%
2
41.7%
0
50.0%
21
58.3%
1
66.7%
15
75.0%
12
83.3%
1
91.7%
516
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1426 · μ=0.4% · σ=1.0%
0.0%
1188
0.6%
11
1.2%
90
1.8%
45
2.4%
40
3.0%
20
3.6%
20
4.2%
3
4.8%
3
5.4%
4
6.0%
0
6.5%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.7% 2.7% 4.1%
RISP-AVG n=1426 · μ=0.290 · σ=0.120
0.000
22
0.071
111
0.143
283
0.214
306
0.286
296
0.357
203
0.429
122
0.500
64
0.571
15
0.643
3
0.714
0
0.786
1
10th25th Median 75th90th 95th99th
0.143 0.200 0.281 0.367 0.458 0.500 0.580
RISP-OPS n=1426 · μ=0.941 · σ=0.375
0.100
17
0.314
145
0.528
328
0.742
317
0.956
264
1.169
168
1.383
101
1.597
57
1.811
21
2.025
4
2.239
3
2.453
1
10th25th Median 75th90th 95th99th
0.505 0.656 0.883 1.167 1.479 1.631 1.943
RISP-Conv n=1426 · μ=0.38 · σ=0.179
0.00
31
0.10
133
0.19
316
0.29
323
0.38
244
0.48
161
0.57
106
0.67
63
0.76
32
0.86
13
0.95
1
1.05
3
10th25th Median 75th90th 95th99th
0.18 0.25 0.35 0.48 0.62 0.71 0.87
WAR n=1426 · μ=0.27 · σ=0.682
-1.14
26
-0.66
339
-0.18
539
0.30
267
0.78
119
1.26
73
1.74
36
2.21
14
2.69
9
3.17
3
3.65
0
4.13
1
10th25th Median 75th90th 95th99th
-0.38 -0.19 0.10 0.53 1.24 1.65 2.57

Pitching distributions

wERA n=926 · μ=11.46 · σ=4.271
2.39
13
4.78
111
7.17
211
9.55
242
11.94
161
14.33
82
16.72
60
19.11
17
21.49
12
23.88
11
26.27
2
28.66
4
10th25th Median 75th90th 95th99th
6.74 8.57 10.78 13.52 17.30 19.02 25.31
xRA n=926 · μ=11.46 · σ=4.271
2.39
13
4.78
111
7.17
211
9.55
242
11.94
161
14.33
82
16.72
60
19.11
17
21.49
12
23.88
11
26.27
2
28.66
4
10th25th Median 75th90th 95th99th
6.74 8.57 10.78 13.52 17.30 19.02 25.31
Decay n=697 · μ=+1.1 · σ=20.872
-77.5
5
-64.7
7
-51.8
5
-39.0
36
-26.1
95
-13.3
181
-0.4
196
+12.4
95
+25.3
50
+38.1
19
+51.0
3
+63.8
5
10th25th Median 75th90th 95th99th
-23.5 -10.2 +0.9 +12.0 +27.1 +35.8 +52.7
GSc avg n=926 · μ=49.4 · σ=5.370
29.9
3
32.9
7
36.0
19
39.0
60
42.1
96
45.2
161
48.2
240
51.3
198
54.3
80
57.4
45
60.5
13
63.5
4
10th25th Median 75th90th 95th99th
42.2 46.5 49.7 52.8 56.2 58.2 61.4
GSc+ n=926 · μ=102 · σ=10.694
62
2
68
7
74
16
81
45
87
106
93
161
99
235
105
189
111
99
117
46
124
14
130
6
10th25th Median 75th90th 95th99th
88 96 103 109 115 119 127
FOP n=926 · μ=62 · σ=9.775
25
2
30
4
35
17
40
28
45
55
50
115
55
120
59
175
64
204
69
133
74
58
79
15
10th25th Median 75th90th 95th99th
48 55 63 68 73 75 80
OS+ n=926 · μ=121 · σ=57.009
45
132
69
225
93
198
117
119
141
70
165
43
189
53
213
31
237
26
261
18
286
6
310
5
10th25th Median 75th90th 95th99th
64 80 105 145 207 245 289
GE n=926 · μ=2.4 · σ=1.252
1.1
326
1.6
206
2.2
152
2.7
77
3.2
40
3.8
38
4.3
23
4.8
27
5.4
14
5.9
10
6.5
10
7.0
2
10th25th Median 75th90th 95th99th
1.3 1.5 2.0 2.8 4.2 5.3 6.6
K% n=926 · μ=33.3% · σ=8.6%
11.7%
14
16.1%
50
20.6%
100
25.1%
140
29.5%
205
34.0%
175
38.5%
116
43.0%
71
47.4%
40
51.9%
9
56.4%
5
60.8%
1
10th25th Median 75th90th 95th99th
22.6% 27.4% 32.9% 38.8% 44.9% 48.8% 54.2%
BB% n=926 · μ=13.3% · σ=4.4%
0.0%
8
2.6%
18
5.1%
56
7.7%
138
10.2%
204
12.8%
214
15.3%
146
17.9%
97
20.4%
31
23.0%
9
25.5%
3
28.1%
2
10th25th Median 75th90th 95th99th
8.0% 10.3% 13.2% 16.0% 19.1% 20.3% 24.5%
HR% n=926 · μ=2.6% · σ=2.4%
0.0%
282
1.2%
220
2.3%
158
3.5%
97
4.6%
68
5.8%
49
6.9%
22
8.1%
15
9.2%
6
10.4%
5
11.5%
2
12.7%
2
10th25th Median 75th90th 95th99th
0.0% 0.9% 2.1% 3.8% 5.9% 7.2% 10.0%
K-BB% n=926 · μ=12.9% · σ=10.4%
-13.6%
13
-8.4%
33
-3.3%
83
1.8%
134
6.9%
179
12.1%
188
17.2%
131
22.3%
86
27.4%
46
32.6%
19
37.7%
6
42.8%
8
10th25th Median 75th90th 95th99th
0.0% 6.0% 12.5% 19.3% 26.3% 29.8% 41.0%
oAVG n=926 · μ=0.326 · σ=0.087
0.071
5
0.119
19
0.167
62
0.214
116
0.262
207
0.310
205
0.357
156
0.405
82
0.452
38
0.500
24
0.548
9
0.595
3
10th25th Median 75th90th 95th99th
0.217 0.268 0.320 0.379 0.434 0.479 0.551
WAR n=926 · μ=0.41 · σ=0.614
-1.22
8
-0.87
27
-0.51
79
-0.16
231
0.20
297
0.55
140
0.91
62
1.26
35
1.62
18
1.97
15
2.33
11
2.69
2
10th25th Median 75th90th 95th99th
-0.25 0.06 0.33 0.63 1.18 1.63 2.40
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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