Distributions

League-wide player histograms · 1276 games played · 1444 qualifying batters (25+ PA) · 941 qualifying pitchers (25+ outs)
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Player ID 6796 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1444 · μ=0.304 · σ=0.111
0.030
15
0.084
65
0.138
158
0.192
237
0.246
261
0.300
249
0.354
187
0.408
147
0.462
76
0.516
33
0.570
13
0.623
3
10th25th Median 75th90th 95th99th
0.167 0.222 0.296 0.377 0.451 0.500 0.571
OPS n=1444 · μ=0.974 · σ=0.356
0.121
8
0.307
71
0.492
236
0.678
306
0.863
285
1.048
206
1.234
156
1.419
87
1.605
60
1.790
23
1.976
5
2.161
1
10th25th Median 75th90th 95th99th
0.547 0.709 0.929 1.198 1.481 1.645 1.921
OPS+ n=1444 · μ=104 · σ=36.926
14
8
34
76
53
215
72
315
92
270
111
236
131
151
150
89
169
53
189
22
208
8
227
1
10th25th Median 75th90th 95th99th
59 76 99 127 154 173 198
wOBA n=1444 · μ=0.460 · σ=0.197
0.044
23
0.148
170
0.252
302
0.356
309
0.460
254
0.564
157
0.668
107
0.772
77
0.876
26
0.980
16
1.084
2
1.188
1
10th25th Median 75th90th 95th99th
0.231 0.310 0.428 0.579 0.738 0.826 1.010
BAVG n=1444 · μ=0.364 · σ=0.136
0.032
13
0.097
64
0.161
154
0.226
255
0.291
256
0.355
229
0.420
186
0.485
132
0.549
93
0.614
42
0.678
14
0.743
6
10th25th Median 75th90th 95th99th
0.196 0.261 0.350 0.453 0.554 0.604 0.694
ISO n=1444 · μ=0.212 · σ=0.144
0.000
242
0.074
321
0.149
307
0.223
219
0.298
138
0.372
99
0.447
66
0.521
33
0.596
12
0.670
6
0.744
0
0.819
1
10th25th Median 75th90th 95th99th
0.049 0.103 0.182 0.292 0.425 0.492 0.612
BABIP n=1444 · μ=0.468 · σ=0.137
0.059
4
0.130
32
0.201
64
0.271
172
0.342
250
0.413
283
0.484
242
0.555
217
0.626
112
0.697
45
0.767
19
0.838
3
10th25th Median 75th90th 95th99th
0.295 0.375 0.460 0.567 0.647 0.692 0.795
K% n=1444 · μ=23.7% · σ=10.4%
0.0%
22
5.6%
131
11.1%
257
16.7%
255
22.2%
268
27.8%
236
33.3%
159
38.9%
74
44.4%
21
50.0%
15
55.6%
2
61.1%
4
10th25th Median 75th90th 95th99th
10.7% 15.4% 23.3% 30.6% 37.4% 42.2% 50.6%
BB% n=1444 · μ=13.2% · σ=5.5%
0.0%
17
2.8%
79
5.6%
179
8.3%
248
11.1%
299
13.9%
256
16.7%
176
19.4%
94
22.2%
53
25.0%
29
27.8%
11
30.6%
3
10th25th Median 75th90th 95th99th
6.7% 9.3% 12.8% 16.7% 20.5% 23.1% 27.6%
2C-RBI% n=1444 · μ=3.8% · σ=6.9%
0.0%
1010
4.2%
141
8.3%
127
12.5%
71
16.7%
40
20.8%
22
25.0%
21
29.2%
1
33.3%
5
37.5%
3
41.7%
1
45.8%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 12.5% 18.8% 28.6%
2C-Conv% n=1444 · μ=36.2% · σ=47.4%
0.0%
906
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
19
58.3%
0
66.7%
13
75.0%
5
83.3%
2
91.7%
499
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1444 · μ=0.4% · σ=1.1%
0.0%
1231
0.7%
7
1.4%
85
2.1%
40
2.9%
29
3.6%
26
4.3%
17
5.0%
2
5.7%
1
6.4%
2
7.1%
2
7.9%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.9% 3.0% 4.6%
RISP-AVG n=1444 · μ=0.297 · σ=0.122
0.000
17
0.069
112
0.139
241
0.208
289
0.278
306
0.347
226
0.417
156
0.486
68
0.556
21
0.625
6
0.694
0
0.764
2
10th25th Median 75th90th 95th99th
0.143 0.207 0.291 0.381 0.464 0.500 0.591
RISP-OPS n=1444 · μ=0.960 · σ=0.377
0.074
12
0.285
99
0.497
307
0.708
315
0.920
281
1.131
195
1.343
121
1.554
79
1.765
23
1.977
9
2.188
2
2.400
1
10th25th Median 75th90th 95th99th
0.522 0.679 0.909 1.207 1.500 1.653 1.935
RISP-Conv n=1444 · μ=0.39 · σ=0.184
0.00
42
0.10
132
0.20
337
0.29
310
0.39
245
0.49
171
0.59
108
0.69
53
0.79
30
0.88
11
0.98
3
1.08
2
10th25th Median 75th90th 95th99th
0.18 0.26 0.37 0.50 0.64 0.73 0.89
WAR n=1444 · μ=0.23 · σ=0.538
-0.93
19
-0.58
224
-0.22
526
0.13
338
0.49
151
0.84
90
1.20
55
1.55
23
1.90
10
2.26
5
2.61
2
2.97
1
10th25th Median 75th90th 95th99th
-0.30 -0.14 0.11 0.44 0.99 1.31 1.96

Pitching distributions

wERA n=941 · μ=11.88 · σ=4.675
1.15
8
3.95
87
6.75
220
9.55
262
12.35
184
15.15
85
17.95
43
20.75
26
23.55
13
26.35
9
29.15
3
31.95
1
10th25th Median 75th90th 95th99th
6.72 8.60 11.11 14.13 17.97 21.04 27.02
xRA n=941 · μ=11.88 · σ=4.675
1.15
8
3.95
87
6.75
220
9.55
262
12.35
184
15.15
85
17.95
43
20.75
26
23.55
13
26.35
9
29.15
3
31.95
1
10th25th Median 75th90th 95th99th
6.72 8.60 11.11 14.13 17.97 21.04 27.02
Decay n=662 · μ=+2.2 · σ=22.077
-82.0
4
-68.8
6
-55.5
9
-42.3
23
-29.0
83
-15.8
138
-2.5
179
+10.7
115
+23.9
74
+37.2
23
+50.4
4
+63.7
4
10th25th Median 75th90th 95th99th
-23.8 -10.6 +2.7 +16.0 +28.9 +36.6 +51.8
GSc avg n=941 · μ=49.8 · σ=5.697
30.7
5
35.0
31
39.2
84
43.4
187
47.6
310
51.8
208
56.1
87
60.3
21
64.5
7
68.7
0
72.9
0
77.2
0
10th25th Median 75th90th 95th99th
42.6 46.2 50.1 53.5 56.7 58.6 63.6
GSc+ n=941 · μ=102 · σ=11.433
63
10
72
21
80
87
89
214
98
292
106
218
115
75
123
19
132
4
141
0
149
0
158
1
10th25th Median 75th90th 95th99th
88 94 102 110 115 120 130
FOP n=941 · μ=62 · σ=10.186
24
2
29
8
34
15
39
26
44
60
49
97
54
148
59
169
64
194
69
147
75
61
80
14
10th25th Median 75th90th 95th99th
48 55 63 69 73 76 80
OS+ n=941 · μ=123 · σ=57.654
41
106
67
237
93
220
119
135
144
71
170
49
196
50
222
29
248
24
274
11
300
4
326
5
10th25th Median 75th90th 95th99th
65 81 109 147 209 243 296
GE n=941 · μ=2.0 · σ=1.007
0.9
332
1.4
202
1.8
146
2.2
98
2.7
49
3.1
24
3.6
35
4.0
21
4.5
14
4.9
8
5.3
9
5.8
3
10th25th Median 75th90th 95th99th
1.0 1.2 1.6 2.3 3.4 4.1 5.4
K% n=941 · μ=32.8% · σ=9.2%
6.2%
3
11.0%
19
15.8%
55
20.5%
112
25.3%
179
30.1%
198
34.8%
159
39.6%
103
44.4%
74
49.1%
27
53.9%
8
58.7%
4
10th25th Median 75th90th 95th99th
21.1% 26.3% 32.3% 38.9% 45.1% 48.3% 56.3%
BB% n=941 · μ=13.2% · σ=4.6%
0.0%
9
2.5%
23
4.9%
56
7.4%
137
9.8%
192
12.3%
171
14.8%
167
17.2%
114
19.7%
38
22.2%
26
24.6%
4
27.1%
4
10th25th Median 75th90th 95th99th
7.7% 10.0% 13.0% 16.3% 19.2% 20.9% 24.5%
HR% n=941 · μ=2.7% · σ=2.6%
0.0%
349
1.4%
234
2.9%
142
4.3%
98
5.8%
66
7.2%
17
8.7%
15
10.1%
13
11.6%
6
13.0%
0
14.5%
0
15.9%
1
10th25th Median 75th90th 95th99th
0.0% 0.8% 2.2% 4.1% 6.2% 7.5% 11.3%
K-BB% n=941 · μ=12.4% · σ=10.9%
-18.2%
4
-12.7%
21
-7.2%
67
-1.7%
111
3.8%
183
9.3%
197
14.8%
143
20.3%
92
25.8%
83
31.3%
26
36.8%
7
42.3%
6
10th25th Median 75th90th 95th99th
-1.7% 5.2% 11.9% 19.4% 27.5% 30.8% 40.7%
oAVG n=941 · μ=0.333 · σ=0.093
0.050
6
0.101
6
0.152
54
0.202
109
0.253
195
0.304
209
0.355
169
0.405
99
0.456
55
0.507
23
0.558
12
0.608
4
10th25th Median 75th90th 95th99th
0.216 0.270 0.326 0.389 0.455 0.490 0.574
WAR n=941 · μ=0.34 · σ=0.515
-1.03
10
-0.72
33
-0.41
106
-0.10
258
0.21
263
0.51
136
0.82
60
1.13
41
1.44
14
1.75
14
2.06
3
2.36
3
10th25th Median 75th90th 95th99th
-0.22 0.03 0.26 0.59 0.99 1.31 1.99
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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