Distributions

League-wide player histograms · 1143 games played · 1478 qualifying batters (22+ PA) · 948 qualifying pitchers (22+ outs)
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Marking Bryan Castrovilli BRP on every histogram below. Compare ↗

Batting distributions

PAVG n=1478 · μ=0.305 · σ=0.113
0.000
7
0.054
34
0.108
93
0.161
199
0.215
249
0.269
276
0.323
229
0.377
185
0.431
107
0.484
●
57
0.538
32
0.592
10
10th25th Median 75th90th 95th99th
0.167 0.222 0.297 0.384 0.455 0.500 0.577
Highlighted player: 0.514 · approximate percentile: 95–99th
OPS n=1478 · μ=0.977 · σ=0.360
0.133
18
0.317
89
0.501
208
0.685
316
0.868
305
1.052
204
1.236
160
1.420
83
1.604
●
65
1.787
20
1.971
9
2.155
1
10th25th Median 75th90th 95th99th
0.553 0.716 0.933 1.208 1.485 1.654 1.933
Highlighted player: 1.614 · approximate percentile: 90–95th
OPS+ n=1478 · μ=103 · σ=36.841
15
17
34
74
53
218
72
318
91
270
110
241
129
161
148
87
167
57
186
●
25
205
7
223
3
10th25th Median 75th90th 95th99th
58 76 98 126 154 171 197
Highlighted player: 187 · approximate percentile: 95–99th
wOBA n=1478 · μ=0.456 · σ=0.197
0.047
34
0.148
161
0.249
289
0.349
325
0.450
250
0.550
173
0.651
118
0.752
●
68
0.852
36
0.953
14
1.053
9
1.154
1
10th25th Median 75th90th 95th99th
0.229 0.311 0.423 0.575 0.727 0.832 0.993
Highlighted player: 0.782 · approximate percentile: 90–95th
BAVG n=1478 · μ=0.365 · σ=0.138
0.000
7
0.065
36
0.131
105
0.196
207
0.261
267
0.327
267
0.392
215
0.458
172
0.523
90
0.588
●
82
0.654
18
0.719
12
10th25th Median 75th90th 95th99th
0.199 0.263 0.353 0.459 0.556 0.613 0.706
Highlighted player: 0.590 · approximate percentile: 90–95th
ISO n=1478 · μ=0.212 · σ=0.147
0.000
252
0.073
321
0.145
300
0.218
222
0.290
147
0.363
97
0.435
●
70
0.508
37
0.581
20
0.653
8
0.726
3
0.798
1
10th25th Median 75th90th 95th99th
0.045 0.102 0.183 0.296 0.429 0.500 0.635
Highlighted player: 0.457 · approximate percentile: 90–95th
BABIP n=1478 · μ=0.468 · σ=0.140
0.000
2
0.076
16
0.152
44
0.227
105
0.303
227
0.379
299
0.455
287
0.530
255
0.606
●
148
0.682
68
0.758
22
0.833
5
10th25th Median 75th90th 95th99th
0.294 0.375 0.465 0.562 0.648 0.700 0.783
Highlighted player: 0.660 · approximate percentile: 90–95th
K% n=1478 · μ=23.4% · σ=10.6%
0.0%
30
5.5%
145
10.9%
●
249
16.4%
268
21.8%
264
27.3%
246
32.8%
156
38.2%
66
43.7%
33
49.1%
12
54.6%
3
60.1%
6
10th25th Median 75th90th 95th99th
10.3% 15.4% 22.7% 30.4% 37.0% 41.0% 51.8%
Highlighted player: 12.9% · approximate percentile: 10–25th
BB% n=1478 · μ=13.3% · σ=5.8%
0.0%
29
2.8%
103
5.6%
159
8.3%
242
11.1%
●
304
13.9%
226
16.7%
188
19.4%
118
22.2%
55
25.0%
37
27.8%
9
30.6%
8
10th25th Median 75th90th 95th99th
6.0% 9.1% 13.0% 17.0% 21.0% 23.3% 28.2%
Highlighted player: 12.9% · approximate percentile: 25–50th
2C-RBI% n=1478 · μ=3.7% · σ=7.0%
0.0%
1066
4.2%
127
8.3%
106
12.5%
●
83
16.7%
44
20.8%
16
25.0%
22
29.2%
0
33.3%
6
37.5%
5
41.7%
1
45.8%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 5.9% 13.3% 18.2% 28.6%
Highlighted player: 16.1% · approximate percentile: 90–95th
2C-Conv% n=1478 · μ=33.5% · σ=46.6%
0.0%
968
8.3%
0
16.7%
0
25.0%
0
33.3%
1
41.7%
0
50.0%
19
58.3%
0
66.7%
12
75.0%
4
83.3%
0
91.7%
●
474
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
Highlighted player: 100.0% · approximate percentile: 50–75th
MhAB% n=1478 · μ=0.4% · σ=1.1%
0.0%
1281
0.7%
1
1.3%
58
2.0%
53
2.7%
●
22
3.3%
22
4.0%
22
4.7%
8
5.3%
6
6.0%
1
6.7%
2
7.3%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.9% 2.9% 4.9%
Highlighted player: 3.3% · approximate percentile: 95–99th
RISP-AVG n=1478 · μ=0.298 · σ=0.124
0.000
22
0.068
97
0.135
247
0.203
284
0.271
307
0.339
234
0.406
158
0.474
82
0.542
●
35
0.609
9
0.677
1
0.745
2
10th25th Median 75th90th 95th99th
0.143 0.205 0.294 0.382 0.467 0.519 0.594
Highlighted player: 0.571 · approximate percentile: 95–99th
RISP-OPS n=1478 · μ=0.960 · σ=0.383
0.000
12
0.219
76
0.438
245
0.656
341
0.875
321
1.094
227
1.312
113
1.531
92
1.750
●
40
1.969
8
2.188
2
2.406
1
10th25th Median 75th90th 95th99th
0.517 0.680 0.912 1.188 1.522 1.668 1.953
Highlighted player: 1.771 · approximate percentile: 95–99th
RISP-Conv n=1478 · μ=0.39 · σ=0.188
0.00
41
0.09
124
0.18
270
0.27
310
0.37
262
0.46
196
0.55
116
0.64
●
81
0.73
35
0.82
29
0.91
11
1.01
3
10th25th Median 75th90th 95th99th
0.17 0.25 0.36 0.50 0.65 0.73 0.90
Highlighted player: 0.71 · approximate percentile: 90–95th
WAR n=1478 · μ=0.20 · σ=0.476
-0.86
15
-0.57
114
-0.28
482
0.01
409
0.30
203
0.58
117
0.87
59
1.16
●
46
1.45
16
1.74
9
2.03
4
2.32
4
10th25th Median 75th90th 95th99th
-0.27 -0.12 0.08 0.38 0.84 1.18 1.79
Highlighted player: 1.33 · approximate percentile: 95–99th

Pitching distributions

wERA n=948 · μ=12.10 · σ=4.868
1.15
11
4.00
93
6.86
232
9.72
249
12.58
180
15.43
95
18.29
35
21.15
21
24.00
20
26.86
6
29.72
4
32.57
2
10th25th Median 75th90th 95th99th
6.65 8.83 11.27 14.37 18.12 21.95 27.25
xRA n=948 · μ=12.10 · σ=4.868
1.15
11
4.00
93
6.86
232
9.72
249
12.58
180
15.43
95
18.29
35
21.15
21
24.00
20
26.86
6
29.72
4
32.57
2
10th25th Median 75th90th 95th99th
6.65 8.83 11.27 14.37 18.12 21.95 27.25
Decay n=633 · μ=+2.5 · σ=23.058
-97.4
2
-82.2
2
-66.9
9
-51.6
14
-36.3
56
-21.1
131
-5.8
182
+9.5
137
+24.8
75
+40.1
19
+55.3
2
+70.6
4
10th25th Median 75th90th 95th99th
-24.2 -11.6 +3.2 +16.5 +31.1 +36.1 +54.6
GSc avg n=948 · μ=50.3 · σ=5.773
31.4
8
35.6
30
39.8
89
44.0
184
48.3
313
52.5
206
56.7
85
60.9
25
65.1
7
69.3
0
73.5
0
77.7
1
10th25th Median 75th90th 95th99th
43.0 46.8 50.5 53.8 57.3 59.7 64.4
GSc+ n=948 · μ=102 · σ=11.444
64
9
72
23
81
89
89
208
98
308
106
206
115
77
124
24
132
3
141
0
149
0
158
1
10th25th Median 75th90th 95th99th
88 95 102 109 115 121 130
FOP n=948 · μ=62 · σ=10.330
25
5
30
11
35
13
40
30
45
71
50
95
55
143
60
176
65
195
70
126
75
66
80
17
10th25th Median 75th90th 95th99th
48 55 63 69 74 76 80
OS+ n=948 · μ=123 · σ=58.885
41
108
67
244
94
220
120
138
146
75
172
49
199
35
225
37
251
21
277
9
304
7
330
5
10th25th Median 75th90th 95th99th
66 81 106 147 212 245 313
GE n=948 · μ=1.7 · σ=0.890
0.8
305
1.2
234
1.6
151
2.0
79
2.4
55
2.7
36
3.1
22
3.5
22
3.9
26
4.3
11
4.7
2
5.1
5
10th25th Median 75th90th 95th99th
1.0 1.1 1.4 2.1 3.0 3.8 4.7
K% n=948 · μ=32.4% · σ=9.3%
6.2%
5
11.0%
24
15.8%
62
20.5%
126
25.3%
180
30.1%
193
34.8%
154
39.6%
101
44.4%
62
49.1%
29
53.9%
7
58.7%
5
10th25th Median 75th90th 95th99th
20.7% 25.9% 32.0% 38.5% 44.8% 48.6% 55.5%
BB% n=948 · μ=13.2% · σ=4.8%
0.0%
12
2.5%
29
4.9%
52
7.4%
132
9.8%
189
12.3%
185
14.8%
155
17.2%
111
19.7%
46
22.2%
27
24.6%
6
27.1%
4
10th25th Median 75th90th 95th99th
7.4% 10.1% 13.0% 16.4% 19.4% 21.5% 25.0%
HR% n=948 · μ=2.7% · σ=2.7%
0.0%
349
1.4%
239
2.9%
129
4.3%
112
5.8%
55
7.2%
25
8.7%
17
10.1%
13
11.6%
8
13.0%
0
14.5%
0
15.9%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.2% 4.2% 6.3% 7.9% 11.5%
K-BB% n=948 · μ=11.9% · σ=11.2%
-18.2%
7
-12.7%
28
-7.2%
75
-1.7%
118
3.8%
173
9.3%
202
14.8%
136
20.3%
96
25.8%
66
31.3%
29
36.8%
13
42.3%
4
10th25th Median 75th90th 95th99th
-2.2% 4.2% 11.4% 18.9% 26.7% 31.2% 40.3%
oAVG n=948 · μ=0.337 · σ=0.095
0.061
7
0.110
11
0.160
55
0.210
124
0.260
173
0.309
219
0.359
159
0.409
104
0.459
50
0.509
27
0.558
13
0.608
6
10th25th Median 75th90th 95th99th
0.219 0.273 0.333 0.397 0.459 0.500 0.583
WAR n=948 · μ=0.31 · σ=0.464
-0.96
9
-0.70
26
-0.43
79
-0.16
184
0.10
286
0.37
180
0.63
86
0.90
39
1.17
37
1.43
13
1.70
5
1.97
4
10th25th Median 75th90th 95th99th
-0.20 0.03 0.24 0.53 0.91 1.23 1.60
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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