Distributions

League-wide player histograms · 1814 games played · 1406 qualifying batters (35+ PA) · 940 qualifying pitchers (35+ outs)
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Player ID 3699 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1406 · μ=0.293 · σ=0.110
0.026
12
0.082
60
0.137
195
0.192
274
0.247
265
0.302
213
0.358
166
0.413
122
0.468
60
0.523
29
0.578
8
0.634
2
10th25th Median 75th90th 95th99th
0.162 0.209 0.280 0.368 0.446 0.492 0.561
OPS n=1406 · μ=0.943 · σ=0.358
0.186
18
0.377
148
0.569
347
0.760
297
0.951
219
1.142
161
1.334
111
1.525
61
1.716
31
1.908
8
2.099
4
2.290
1
10th25th Median 75th90th 95th99th
0.546 0.667 0.885 1.168 1.454 1.612 1.898
OPS+ n=1406 · μ=102 · σ=37.403
21
19
41
125
60
305
79
296
99
230
118
176
137
121
157
77
176
36
195
13
215
6
234
2
10th25th Median 75th90th 95th99th
60 74 96 126 154 172 203
wOBA n=1406 · μ=0.449 · σ=0.201
0.066
51
0.184
320
0.302
362
0.420
266
0.538
180
0.657
120
0.775
61
0.893
30
1.011
11
1.129
3
1.247
1
1.365
1
10th25th Median 75th90th 95th99th
0.230 0.296 0.407 0.570 0.738 0.824 1.022
BAVG n=1406 · μ=0.349 · σ=0.135
0.036
11
0.099
72
0.162
183
0.226
278
0.289
244
0.352
197
0.415
166
0.479
118
0.542
70
0.605
42
0.668
22
0.732
3
10th25th Median 75th90th 95th99th
0.190 0.244 0.329 0.439 0.540 0.600 0.684
ISO n=1406 · μ=0.203 · σ=0.143
0.000
345
0.097
462
0.194
277
0.292
159
0.389
96
0.486
40
0.583
19
0.681
6
0.778
0
0.875
1
0.972
0
1.069
1
10th25th Median 75th90th 95th99th
0.054 0.100 0.169 0.275 0.414 0.482 0.642
BABIP n=1406 · μ=0.458 · σ=0.128
0.042
3
0.112
15
0.182
52
0.252
155
0.322
226
0.392
287
0.462
266
0.532
210
0.602
126
0.672
48
0.742
17
0.812
1
10th25th Median 75th90th 95th99th
0.294 0.366 0.455 0.548 0.631 0.667 0.750
K% n=1406 · μ=24.9% · σ=10.1%
3.4%
52
8.2%
135
13.0%
211
17.8%
196
22.6%
252
27.4%
197
32.2%
187
37.0%
116
41.8%
35
46.6%
16
51.4%
4
56.2%
5
10th25th Median 75th90th 95th99th
11.5% 16.9% 24.5% 32.5% 38.1% 40.7% 48.5%
BB% n=1406 · μ=13.2% · σ=4.8%
0.0%
10
2.8%
52
5.6%
147
8.3%
275
11.1%
320
13.9%
266
16.7%
187
19.4%
89
22.2%
41
25.0%
15
27.8%
2
30.6%
2
10th25th Median 75th90th 95th99th
7.4% 9.9% 12.9% 16.3% 19.5% 21.5% 25.6%
2C-RBI% n=1406 · μ=3.6% · σ=5.9%
0.0%
922
3.7%
185
7.4%
145
11.1%
72
14.8%
36
18.5%
20
22.2%
13
25.9%
8
29.6%
0
33.3%
4
37.0%
0
40.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 11.1% 15.4% 25.0%
2C-Conv% n=1406 · μ=41.4% · σ=48.2%
0.0%
798
8.3%
0
16.7%
0
25.0%
0
33.3%
2
41.7%
0
50.0%
30
58.3%
1
66.7%
12
75.0%
16
83.3%
5
91.7%
542
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1406 · μ=0.4% · σ=0.9%
0.0%
1153
0.6%
45
1.2%
86
1.8%
50
2.4%
36
3.0%
19
3.6%
4
4.2%
6
4.8%
2
5.4%
2
6.0%
2
6.5%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.6% 2.4% 3.7%
RISP-AVG n=1406 · μ=0.285 · σ=0.119
0.000
18
0.071
128
0.141
276
0.212
330
0.282
269
0.353
178
0.423
132
0.494
59
0.564
12
0.635
3
0.705
0
0.776
1
10th25th Median 75th90th 95th99th
0.140 0.197 0.270 0.360 0.453 0.500 0.567
RISP-OPS n=1406 · μ=0.927 · σ=0.373
0.094
13
0.308
160
0.523
333
0.737
307
0.951
252
1.166
152
1.380
109
1.595
47
1.809
25
2.023
5
2.238
1
2.452
2
10th25th Median 75th90th 95th99th
0.500 0.654 0.859 1.157 1.457 1.622 1.906
RISP-Conv n=1406 · μ=0.38 · σ=0.175
0.00
28
0.10
157
0.19
325
0.29
336
0.39
242
0.49
130
0.58
93
0.68
60
0.78
23
0.88
8
0.97
1
1.07
3
10th25th Median 75th90th 95th99th
0.18 0.25 0.35 0.47 0.62 0.71 0.86
WAR n=1406 · μ=0.32 · σ=0.830
-1.25
27
-0.75
305
-0.25
496
0.25
268
0.74
116
1.24
87
1.74
57
2.24
26
2.74
14
3.23
5
3.73
4
4.23
1
10th25th Median 75th90th 95th99th
-0.47 -0.24 0.09 0.63 1.48 1.99 3.06

Pitching distributions

wERA n=940 · μ=11.32 · σ=4.088
3.32
34
5.67
154
8.02
257
10.37
208
12.72
134
15.07
76
17.42
42
19.77
19
22.12
9
24.47
2
26.82
1
29.17
3
10th25th Median 75th90th 95th99th
6.78 8.43 10.66 13.46 16.78 18.67 23.43
xRA n=940 · μ=11.32 · σ=4.088
3.32
34
5.67
154
8.02
257
10.37
208
12.72
134
15.07
76
17.42
42
19.77
19
22.12
9
24.47
2
26.82
1
29.17
3
10th25th Median 75th90th 95th99th
6.78 8.43 10.66 13.46 16.78 18.67 23.43
Decay n=734 · μ=+1.4 · σ=19.420
-77.6
4
-65.0
4
-52.5
4
-39.9
32
-27.3
91
-14.7
166
-2.1
228
+10.5
120
+23.1
52
+35.7
25
+48.2
4
+60.8
4
10th25th Median 75th90th 95th99th
-21.7 -9.9 +1.5 +12.1 +25.8 +33.0 +48.4
GSc avg n=940 · μ=49.3 · σ=5.157
33.2
5
35.9
19
38.7
38
41.4
83
44.1
133
46.8
193
49.5
209
52.3
143
55.0
66
57.7
34
60.4
11
63.1
6
10th25th Median 75th90th 95th99th
42.6 46.2 49.5 52.5 55.7 57.8 61.7
GSc+ n=940 · μ=102 · σ=10.263
69
4
75
17
80
32
86
81
91
146
97
208
103
214
108
125
114
70
120
24
125
15
131
4
10th25th Median 75th90th 95th99th
89 96 102 108 115 119 128
FOP n=940 · μ=62 · σ=9.658
24
3
29
2
34
24
39
16
44
47
49
105
54
118
59
189
64
203
69
151
74
66
79
16
10th25th Median 75th90th 95th99th
49 56 63 69 73 76 79
OS+ n=940 · μ=120 · σ=56.554
38
88
62
213
87
219
111
145
135
80
159
49
184
47
208
41
232
30
256
17
281
7
305
4
10th25th Median 75th90th 95th99th
63 78 105 146 210 244 287
GE n=940 · μ=2.8 · σ=1.463
1.3
349
2.0
214
2.6
149
3.3
67
3.9
48
4.6
28
5.2
30
5.9
28
6.5
8
7.2
15
7.8
3
8.5
1
10th25th Median 75th90th 95th99th
1.4 1.7 2.3 3.2 5.0 6.0 7.6
K% n=940 · μ=33.8% · σ=8.2%
13.2%
15
17.5%
53
21.9%
91
26.2%
188
30.6%
196
34.9%
163
39.3%
117
43.6%
69
47.9%
35
52.3%
9
56.6%
3
61.0%
1
10th25th Median 75th90th 95th99th
23.5% 27.9% 33.3% 39.2% 44.3% 48.0% 53.1%
BB% n=940 · μ=13.4% · σ=4.2%
2.0%
13
4.3%
25
6.5%
73
8.7%
161
10.9%
205
13.2%
189
15.4%
125
17.6%
87
19.9%
39
22.1%
15
24.3%
6
26.5%
2
10th25th Median 75th90th 95th99th
8.3% 10.4% 13.1% 16.0% 18.7% 20.3% 23.7%
HR% n=940 · μ=2.6% · σ=2.3%
0.0%
291
1.3%
244
2.5%
189
3.8%
100
5.1%
52
6.4%
32
7.6%
15
8.9%
8
10.2%
5
11.5%
3
12.7%
0
14.0%
1
10th25th Median 75th90th 95th99th
0.0% 1.0% 2.1% 3.6% 5.5% 6.8% 10.1%
K-BB% n=940 · μ=13.3% · σ=10.0%
-19.2%
1
-13.6%
6
-8.0%
45
-2.4%
84
3.2%
189
8.7%
209
14.3%
174
19.9%
123
25.5%
68
31.1%
29
36.7%
7
42.2%
5
10th25th Median 75th90th 95th99th
0.9% 6.3% 12.9% 19.8% 26.7% 30.1% 37.9%
oAVG n=940 · μ=0.322 · σ=0.083
0.101
8
0.148
41
0.194
100
0.240
179
0.286
202
0.333
176
0.379
128
0.425
62
0.472
33
0.518
9
0.564
0
0.610
2
10th25th Median 75th90th 95th99th
0.218 0.264 0.319 0.379 0.432 0.468 0.528
WAR n=940 · μ=0.47 · σ=0.696
-1.20
14
-0.82
36
-0.45
123
-0.07
261
0.31
260
0.69
96
1.07
63
1.45
39
1.82
16
2.20
17
2.58
10
2.96
4
10th25th Median 75th90th 95th99th
-0.25 0.06 0.37 0.70 1.35 1.84 2.77
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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