Distributions

League-wide player histograms · 1452 games played · 1451 qualifying batters (28+ PA) · 953 qualifying pitchers (28+ outs)
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Player ID 5311 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1451 · μ=0.299 · σ=0.111
0.000
3
0.056
40
0.113
126
0.169
244
0.226
273
0.282
261
0.339
215
0.395
139
0.452
87
0.508
48
0.565
12
0.621
3
10th25th Median 75th90th 95th99th
0.163 0.214 0.289 0.374 0.453 0.500 0.564
OPS n=1451 · μ=0.960 · σ=0.360
0.143
11
0.329
107
0.514
281
0.700
290
0.886
276
1.072
187
1.257
140
1.443
85
1.629
46
1.815
23
2.001
3
2.186
2
10th25th Median 75th90th 95th99th
0.538 0.683 0.904 1.191 1.464 1.635 1.899
OPS+ n=1451 · μ=103 · σ=37.587
15
9
35
91
55
259
75
304
94
267
114
217
134
149
153
83
173
46
193
18
212
7
232
1
10th25th Median 75th90th 95th99th
59 75 98 127 155 173 206
wOBA n=1451 · μ=0.455 · σ=0.200
0.054
33
0.160
213
0.265
330
0.371
299
0.477
232
0.583
149
0.689
98
0.795
53
0.900
25
1.006
15
1.112
2
1.218
2
10th25th Median 75th90th 95th99th
0.227 0.302 0.416 0.574 0.738 0.831 1.022
BAVG n=1451 · μ=0.358 · σ=0.137
0.000
3
0.067
38
0.135
139
0.202
248
0.269
266
0.337
252
0.404
200
0.471
138
0.538
93
0.606
53
0.673
14
0.740
7
10th25th Median 75th90th 95th99th
0.192 0.250 0.344 0.449 0.551 0.606 0.689
ISO n=1451 · μ=0.208 · σ=0.146
0.000
269
0.078
363
0.155
314
0.233
195
0.310
122
0.388
96
0.465
47
0.543
25
0.620
14
0.698
4
0.775
1
0.853
1
10th25th Median 75th90th 95th99th
0.051 0.099 0.174 0.287 0.415 0.490 0.646
BABIP n=1451 · μ=0.463 · σ=0.135
0.000
2
0.074
6
0.147
37
0.221
104
0.294
216
0.368
294
0.441
272
0.515
248
0.588
157
0.662
90
0.735
18
0.809
7
10th25th Median 75th90th 95th99th
0.292 0.367 0.458 0.558 0.643 0.687 0.772
K% n=1451 · μ=24.1% · σ=10.3%
0.0%
18
5.6%
131
11.1%
238
16.7%
253
22.2%
282
27.8%
239
33.3%
176
38.9%
75
44.4%
21
50.0%
13
55.6%
1
61.1%
4
10th25th Median 75th90th 95th99th
10.9% 16.0% 23.8% 31.2% 37.5% 40.6% 50.0%
BB% n=1451 · μ=13.2% · σ=5.2%
0.0%
10
2.7%
60
5.4%
166
8.1%
256
10.8%
305
13.5%
258
16.2%
201
18.9%
95
21.6%
55
24.3%
34
27.0%
9
29.7%
2
10th25th Median 75th90th 95th99th
6.9% 9.5% 12.8% 16.7% 20.3% 22.6% 26.7%
2C-RBI% n=1451 · μ=3.7% · σ=6.4%
0.0%
993
3.7%
139
7.4%
126
11.1%
99
14.8%
33
18.5%
26
22.2%
16
25.9%
8
29.6%
2
33.3%
6
37.0%
2
40.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 12.5% 17.3% 28.6%
2C-Conv% n=1451 · μ=37.8% · σ=47.7%
0.0%
884
8.3%
0
16.7%
0
25.0%
0
33.3%
1
41.7%
0
50.0%
22
58.3%
0
66.7%
15
75.0%
9
83.3%
1
91.7%
519
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1451 · μ=0.4% · σ=1.0%
0.0%
1222
0.6%
19
1.3%
81
1.9%
45
2.6%
33
3.2%
21
3.8%
19
4.5%
4
5.1%
2
5.8%
1
6.4%
2
7.1%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.8% 2.8% 4.3%
RISP-AVG n=1451 · μ=0.293 · σ=0.121
0.000
21
0.069
120
0.139
250
0.208
303
0.278
296
0.347
226
0.417
135
0.486
70
0.556
23
0.625
6
0.694
0
0.764
1
10th25th Median 75th90th 95th99th
0.143 0.200 0.286 0.379 0.458 0.500 0.581
RISP-OPS n=1451 · μ=0.948 · σ=0.377
0.100
17
0.309
133
0.519
332
0.728
294
0.937
269
1.146
192
1.356
117
1.565
56
1.774
29
1.983
8
2.193
2
2.402
2
10th25th Median 75th90th 95th99th
0.500 0.656 0.897 1.182 1.490 1.641 1.938
RISP-Conv n=1451 · μ=0.38 · σ=0.180
0.00
33
0.09
105
0.18
257
0.26
307
0.35
262
0.44
190
0.53
127
0.61
88
0.70
39
0.79
27
0.88
10
0.96
6
10th25th Median 75th90th 95th99th
0.18 0.25 0.36 0.49 0.63 0.72 0.88
WAR n=1451 · μ=0.25 · σ=0.632
-1.02
31
-0.60
334
-0.17
523
0.25
286
0.68
120
1.10
86
1.53
38
1.95
19
2.38
8
2.80
4
3.23
1
3.65
1
10th25th Median 75th90th 95th99th
-0.34 -0.18 0.09 0.50 1.15 1.52 2.35

Pitching distributions

wERA n=953 · μ=11.66 · σ=4.418
2.39
23
5.12
152
7.84
256
10.56
244
13.28
143
16.00
72
18.72
28
21.44
20
24.16
9
26.88
2
29.60
3
32.32
1
10th25th Median 75th90th 95th99th
6.78 8.59 11.06 13.91 17.63 19.59 25.89
xRA n=953 · μ=11.66 · σ=4.418
2.39
23
5.12
152
7.84
256
10.56
244
13.28
143
16.00
72
18.72
28
21.44
20
24.16
9
26.88
2
29.60
3
32.32
1
10th25th Median 75th90th 95th99th
6.78 8.59 11.06 13.91 17.63 19.59 25.89
Decay n=693 · μ=+1.7 · σ=21.358
-77.6
5
-64.7
5
-51.9
11
-39.0
31
-26.2
92
-13.3
177
-0.5
182
+12.4
104
+25.2
56
+38.1
21
+50.9
3
+63.8
6
10th25th Median 75th90th 95th99th
-23.7 -10.4 +1.5 +14.7 +27.7 +35.8 +58.7
GSc avg n=953 · μ=49.6 · σ=5.478
30.2
3
33.2
9
36.2
16
39.3
64
42.3
108
45.4
164
48.4
246
51.4
183
54.5
93
57.5
48
60.5
12
63.6
7
10th25th Median 75th90th 95th99th
42.4 46.2 49.9 53.0 56.4 58.5 62.7
GSc+ n=953 · μ=102 · σ=10.938
62
4
69
6
75
17
81
48
87
119
93
172
99
225
105
193
111
100
117
45
123
16
130
8
10th25th Median 75th90th 95th99th
88 95 102 109 115 120 128
FOP n=953 · μ=62 · σ=9.860
24
3
29
3
34
15
39
30
44
51
49
120
54
127
59
192
64
206
69
137
75
54
80
15
10th25th Median 75th90th 95th99th
49 55 63 68 74 76 81
OS+ n=953 · μ=121 · σ=57.209
42
116
67
250
93
212
118
127
144
62
169
58
195
51
220
33
246
21
271
16
297
4
323
3
10th25th Median 75th90th 95th99th
64 79 105 146 209 244 289
GE n=953 · μ=2.2 · σ=1.185
1.0
346
1.5
215
2.1
161
2.6
71
3.1
38
3.6
32
4.1
29
4.6
24
5.1
15
5.6
10
6.1
6
6.6
6
10th25th Median 75th90th 95th99th
1.1 1.3 1.8 2.6 4.0 4.8 6.3
K% n=953 · μ=33.1% · σ=8.9%
6.2%
2
11.0%
16
15.8%
50
20.5%
112
25.3%
179
30.1%
200
34.8%
181
39.6%
108
44.4%
63
49.1%
29
53.9%
9
58.7%
4
10th25th Median 75th90th 95th99th
22.0% 26.9% 32.6% 38.8% 45.1% 48.6% 55.0%
BB% n=953 · μ=13.3% · σ=4.5%
0.0%
7
2.4%
19
4.7%
53
7.1%
99
9.4%
186
11.8%
192
14.1%
177
16.5%
113
18.8%
68
21.2%
27
23.5%
7
25.9%
5
10th25th Median 75th90th 95th99th
7.7% 10.3% 13.2% 16.1% 19.2% 20.5% 23.9%
HR% n=953 · μ=2.7% · σ=2.4%
0.0%
346
1.5%
256
2.9%
146
4.4%
108
5.9%
52
7.4%
26
8.8%
10
10.3%
8
11.8%
0
13.2%
0
14.7%
0
16.2%
1
10th25th Median 75th90th 95th99th
0.0% 0.9% 2.2% 3.9% 6.0% 7.2% 9.9%
K-BB% n=953 · μ=12.7% · σ=10.6%
-14.1%
18
-8.1%
53
-2.2%
113
3.7%
200
9.7%
226
15.6%
162
21.5%
96
27.5%
62
33.4%
9
39.3%
7
45.3%
6
51.2%
1
10th25th Median 75th90th 95th99th
-1.1% 5.6% 12.4% 19.4% 26.5% 29.6% 41.2%
oAVG n=953 · μ=0.330 · σ=0.090
0.071
4
0.123
28
0.174
82
0.225
150
0.277
228
0.328
200
0.379
140
0.431
70
0.482
31
0.533
15
0.585
3
0.636
2
10th25th Median 75th90th 95th99th
0.217 0.271 0.325 0.385 0.444 0.483 0.565
WAR n=953 · μ=0.38 · σ=0.585
-1.16
10
-0.81
24
-0.46
111
-0.11
284
0.24
275
0.59
116
0.94
61
1.30
29
1.65
23
2.00
11
2.35
8
2.70
1
10th25th Median 75th90th 95th99th
-0.23 0.04 0.30 0.61 1.16 1.57 2.31
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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