Distributions

League-wide player histograms · 1632 games played · 1414 qualifying batters (32+ PA) · 942 qualifying pitchers (32+ outs)
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Player ID 6304 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1414 · μ=0.297 · σ=0.110
0.050
29
0.103
93
0.157
219
0.210
257
0.263
259
0.317
205
0.370
143
0.424
117
0.477
54
0.530
30
0.584
7
0.637
1
10th25th Median 75th90th 95th99th
0.163 0.212 0.283 0.370 0.453 0.500 0.566
OPS n=1414 · μ=0.952 · σ=0.360
0.222
31
0.402
161
0.581
299
0.760
287
0.940
227
1.119
157
1.299
116
1.478
76
1.657
33
1.837
22
2.016
3
2.196
2
10th25th Median 75th90th 95th99th
0.538 0.673 0.893 1.183 1.464 1.627 1.901
OPS+ n=1414 · μ=103 · σ=37.693
27
35
46
170
64
297
83
268
102
219
121
170
139
121
158
71
177
43
195
13
214
6
233
1
10th25th Median 75th90th 95th99th
59 74 98 128 156 174 203
wOBA n=1414 · μ=0.452 · σ=0.204
0.077
61
0.184
269
0.290
332
0.397
274
0.503
183
0.610
129
0.716
83
0.823
48
0.929
23
1.035
8
1.142
3
1.248
1
10th25th Median 75th90th 95th99th
0.226 0.296 0.413 0.575 0.747 0.835 1.024
BAVG n=1414 · μ=0.354 · σ=0.135
0.056
23
0.118
84
0.181
213
0.243
251
0.306
257
0.368
192
0.431
147
0.493
117
0.556
77
0.618
36
0.681
14
0.743
3
10th25th Median 75th90th 95th99th
0.195 0.250 0.335 0.444 0.548 0.600 0.686
ISO n=1414 · μ=0.206 · σ=0.145
0.000
268
0.080
386
0.160
291
0.240
194
0.319
111
0.399
91
0.479
37
0.559
19
0.639
11
0.719
4
0.799
0
0.878
2
10th25th Median 75th90th 95th99th
0.053 0.096 0.172 0.281 0.416 0.483 0.645
BABIP n=1414 · μ=0.460 · σ=0.130
0.045
1
0.115
18
0.185
49
0.255
155
0.324
238
0.394
284
0.464
256
0.534
201
0.603
140
0.673
56
0.743
12
0.813
4
10th25th Median 75th90th 95th99th
0.292 0.364 0.455 0.552 0.636 0.675 0.757
K% n=1414 · μ=24.4% · σ=10.1%
2.5%
36
7.5%
159
12.5%
208
17.5%
230
22.5%
250
27.5%
207
32.5%
190
37.5%
82
42.5%
30
47.5%
15
52.5%
4
57.5%
3
10th25th Median 75th90th 95th99th
11.4% 16.3% 23.8% 31.5% 37.5% 40.9% 49.1%
BB% n=1414 · μ=13.1% · σ=4.9%
0.0%
11
2.7%
51
5.4%
154
8.1%
258
10.9%
340
13.6%
252
16.3%
184
19.0%
93
21.7%
46
24.4%
20
27.1%
2
29.8%
3
10th25th Median 75th90th 95th99th
7.1% 9.4% 12.7% 16.2% 19.5% 21.6% 25.3%
2C-RBI% n=1414 · μ=3.6% · σ=6.1%
0.0%
943
3.7%
165
7.4%
141
11.1%
78
14.8%
33
18.5%
26
22.2%
14
25.9%
9
29.6%
0
33.3%
2
37.0%
2
40.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 11.8% 16.7% 25.0%
2C-Conv% n=1414 · μ=39.7% · σ=48.0%
0.0%
831
8.3%
0
16.7%
0
25.0%
0
33.3%
2
41.7%
0
50.0%
23
58.3%
1
66.7%
14
75.0%
14
83.3%
1
91.7%
528
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1414 · μ=0.4% · σ=0.9%
0.0%
1165
0.6%
24
1.2%
92
1.8%
46
2.4%
42
3.0%
19
3.6%
16
4.2%
1
4.8%
7
5.4%
1
6.0%
0
6.5%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.7% 2.5% 3.8%
RISP-AVG n=1414 · μ=0.290 · σ=0.120
0.000
19
0.070
116
0.140
279
0.210
291
0.280
288
0.350
197
0.420
135
0.490
69
0.560
17
0.630
1
0.700
1
0.770
0
10th25th Median 75th90th 95th99th
0.143 0.200 0.280 0.367 0.463 0.507 0.571
RISP-OPS n=1414 · μ=0.938 · σ=0.376
0.097
13
0.299
137
0.501
289
0.703
301
0.905
260
1.106
174
1.308
115
1.510
71
1.712
40
1.914
10
2.116
3
2.318
1
10th25th Median 75th90th 95th99th
0.500 0.655 0.876 1.165 1.481 1.639 1.897
RISP-Conv n=1414 · μ=0.38 · σ=0.178
0.00
29
0.09
135
0.19
313
0.28
294
0.38
259
0.47
162
0.56
104
0.66
64
0.75
38
0.84
11
0.94
2
1.03
3
10th25th Median 75th90th 95th99th
0.18 0.25 0.35 0.48 0.63 0.72 0.85
WAR n=1414 · μ=0.29 · σ=0.732
-1.14
39
-0.65
374
-0.16
499
0.33
248
0.82
107
1.31
77
1.80
38
2.29
18
2.78
6
3.27
7
3.76
0
4.25
0
10th25th Median 75th90th 95th99th
-0.40 -0.20 0.09 0.60 1.33 1.78 2.66

Pitching distributions

wERA n=942 · μ=11.43 · σ=4.177
2.76
21
5.17
132
7.58
238
9.99
234
12.41
157
14.82
73
17.23
48
19.64
18
22.05
12
24.46
3
26.87
2
29.28
4
10th25th Median 75th90th 95th99th
6.76 8.49 10.76 13.54 17.06 19.11 24.25
xRA n=942 · μ=11.43 · σ=4.177
2.76
21
5.17
132
7.58
238
9.99
234
12.41
157
14.82
73
17.23
48
19.64
18
22.05
12
24.46
3
26.87
2
29.28
4
10th25th Median 75th90th 95th99th
6.76 8.49 10.76 13.54 17.06 19.11 24.25
Decay n=720 · μ=+0.9 · σ=20.666
-77.6
5
-64.7
5
-51.8
9
-38.8
40
-25.9
105
-13.0
182
-0.1
198
+12.8
103
+25.7
51
+38.7
14
+51.6
3
+64.5
5
10th25th Median 75th90th 95th99th
-23.3 -11.0 +0.9 +12.2 +26.0 +35.1 +52.1
GSc avg n=942 · μ=49.5 · σ=5.252
30.6
2
33.6
7
36.6
25
39.6
67
42.6
103
45.6
179
48.6
234
51.6
190
54.6
79
57.6
39
60.6
13
63.5
4
10th25th Median 75th90th 95th99th
42.4 46.5 49.7 52.8 56.0 57.8 61.5
GSc+ n=942 · μ=102 · σ=10.432
64
2
70
6
76
23
82
51
88
105
94
162
99
240
105
184
111
98
117
50
123
14
129
7
10th25th Median 75th90th 95th99th
88 96 103 109 115 119 127
FOP n=942 · μ=62 · σ=9.668
25
2
30
5
35
15
39
27
44
53
49
101
54
119
59
174
64
215
69
151
74
60
79
20
10th25th Median 75th90th 95th99th
49 56 63 68 73 75 80
OS+ n=942 · μ=121 · σ=56.538
41
100
65
217
89
223
114
143
138
68
162
44
187
55
211
36
235
27
260
18
284
6
308
5
10th25th Median 75th90th 95th99th
64 80 105 144 206 243 286
GE n=942 · μ=2.5 · σ=1.317
1.2
359
1.8
203
2.3
147
2.9
77
3.5
44
4.1
27
4.7
26
5.2
28
5.8
11
6.4
12
7.0
7
7.6
1
10th25th Median 75th90th 95th99th
1.3 1.5 2.1 2.9 4.4 5.4 6.9
K% n=942 · μ=33.3% · σ=8.5%
12.9%
19
17.3%
58
21.6%
109
26.0%
173
30.4%
188
34.7%
167
39.1%
117
43.5%
60
47.8%
38
52.2%
7
56.6%
5
60.9%
1
10th25th Median 75th90th 95th99th
22.9% 27.5% 33.1% 38.9% 44.5% 48.0% 53.2%
BB% n=942 · μ=13.3% · σ=4.3%
2.0%
13
4.1%
28
6.2%
65
8.3%
154
10.5%
160
12.6%
182
14.7%
148
16.8%
93
18.9%
64
21.0%
21
23.1%
8
25.2%
6
10th25th Median 75th90th 95th99th
8.2% 10.2% 13.1% 15.9% 19.0% 20.3% 23.9%
HR% n=942 · μ=2.6% · σ=2.4%
0.0%
282
1.2%
224
2.3%
161
3.5%
115
4.6%
66
5.8%
45
6.9%
22
8.1%
6
9.2%
10
10.4%
6
11.5%
3
12.7%
2
10th25th Median 75th90th 95th99th
0.0% 0.9% 2.1% 3.8% 5.7% 7.1% 10.6%
K-BB% n=942 · μ=12.9% · σ=10.1%
-13.0%
14
-8.0%
33
-2.9%
88
2.2%
144
7.2%
187
12.3%
176
17.4%
136
22.5%
91
27.5%
42
32.6%
17
37.7%
8
42.8%
6
10th25th Median 75th90th 95th99th
0.0% 5.9% 12.4% 19.4% 26.2% 29.2% 40.4%
oAVG n=942 · μ=0.326 · σ=0.085
0.095
6
0.141
31
0.187
85
0.233
159
0.279
203
0.324
195
0.370
136
0.416
62
0.462
37
0.508
21
0.554
4
0.599
3
10th25th Median 75th90th 95th99th
0.220 0.268 0.321 0.379 0.433 0.475 0.547
WAR n=942 · μ=0.43 · σ=0.636
-1.12
12
-0.77
37
-0.43
99
-0.08
247
0.26
288
0.61
109
0.95
63
1.30
35
1.64
21
1.99
13
2.33
13
2.68
4
10th25th Median 75th90th 95th99th
-0.25 0.05 0.34 0.65 1.25 1.70 2.49
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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