Distributions

League-wide player histograms · 1143 games played · 1478 qualifying batters (22+ PA) · 948 qualifying pitchers (22+ outs)
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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
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
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
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
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
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
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
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%
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%
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%
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%
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%
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
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
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
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

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
Highlighted player: 8.24 · approximate percentile: 10–25th
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
Highlighted player: 8.24 · approximate percentile: 10–25th
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
Highlighted player: +14.0 · approximate percentile: 50–75th
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
Highlighted player: 55.7 · approximate percentile: 75–90th
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
Highlighted player: 109 · approximate percentile: 75–90th
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
Highlighted player: 69 · approximate percentile: 50–75th
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
Highlighted player: 167 · approximate percentile: 75–90th
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
Highlighted player: 2.8 · approximate percentile: 75–90th
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%
Highlighted player: 41.7% · approximate percentile: 75–90th
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%
Highlighted player: 15.7% · approximate percentile: 50–75th
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%
Highlighted player: 0.9% · approximate percentile: 25–50th
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%
Highlighted player: 18.5% · approximate percentile: 50–75th
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
Highlighted player: 0.207 · approximate percentile: ≤ 10th
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
Highlighted player: 0.91 · approximate percentile: 75–90th
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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