Distributions

League-wide player histograms · 1945 games played · 1402 qualifying batters (38+ PA) · 925 qualifying pitchers (38+ outs)
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Player ID 5385 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1402 · μ=0.290 · σ=0.109
0.045
18
0.098
92
0.151
208
0.204
295
0.257
243
0.310
194
0.363
145
0.416
108
0.468
56
0.521
38
0.574
4
0.627
1
10th25th Median 75th90th 95th99th
0.161 0.208 0.274 0.363 0.447 0.491 0.557
OPS n=1402 · μ=0.934 · σ=0.356
0.209
21
0.386
153
0.562
316
0.739
291
0.915
217
1.092
146
1.269
111
1.445
83
1.622
34
1.798
26
1.975
1
2.151
3
10th25th Median 75th90th 95th99th
0.540 0.667 0.868 1.156 1.458 1.593 1.895
OPS+ n=1402 · μ=102 · σ=37.484
26
28
43
138
61
285
79
273
97
223
114
162
132
121
150
82
168
54
185
23
203
10
221
3
10th25th Median 75th90th 95th99th
59 74 95 126 157 173 201
wOBA n=1402 · μ=0.446 · σ=0.202
0.092
81
0.202
329
0.311
341
0.421
244
0.530
161
0.640
112
0.750
79
0.859
28
0.969
22
1.078
3
1.188
1
1.298
0
10th25th Median 75th90th 95th99th
0.228 0.294 0.400 0.562 0.744 0.827 1.015
BAVG n=1402 · μ=0.345 · σ=0.134
0.051
18
0.113
88
0.175
215
0.236
271
0.298
234
0.359
188
0.421
156
0.483
104
0.544
64
0.606
48
0.667
14
0.729
2
10th25th Median 75th90th 95th99th
0.188 0.243 0.323 0.435 0.534 0.600 0.672
ISO n=1402 · μ=0.201 · σ=0.142
0.000
310
0.092
464
0.183
283
0.275
155
0.366
107
0.458
46
0.549
24
0.641
10
0.732
1
0.824
1
0.915
0
1.007
1
10th25th Median 75th90th 95th99th
0.052 0.100 0.165 0.273 0.410 0.471 0.627
BABIP n=1402 · μ=0.454 · σ=0.127
0.074
4
0.136
16
0.198
66
0.260
142
0.322
193
0.384
267
0.446
232
0.508
216
0.570
141
0.632
78
0.694
38
0.756
9
10th25th Median 75th90th 95th99th
0.290 0.365 0.449 0.542 0.623 0.667 0.744
K% n=1402 · μ=25.1% · σ=10.2%
3.2%
46
8.0%
127
12.7%
187
17.5%
210
22.3%
225
27.1%
226
31.8%
186
36.6%
117
41.4%
54
46.1%
16
50.9%
4
55.7%
4
10th25th Median 75th90th 95th99th
11.7% 17.3% 25.0% 32.6% 38.2% 41.8% 48.8%
BB% n=1402 · μ=13.2% · σ=4.6%
0.0%
6
2.4%
32
4.9%
101
7.3%
188
9.8%
281
12.2%
291
14.7%
227
17.1%
148
19.5%
78
22.0%
32
24.4%
13
26.9%
5
10th25th Median 75th90th 95th99th
7.4% 10.0% 13.0% 16.2% 19.2% 20.8% 25.0%
2C-RBI% n=1402 · μ=3.6% · σ=5.6%
0.0%
914
3.7%
199
7.4%
140
11.1%
82
14.8%
27
18.5%
16
22.2%
15
25.9%
5
29.6%
1
33.3%
2
37.0%
0
40.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 11.1% 14.3% 25.0%
2C-Conv% n=1402 · μ=42.6% · σ=48.4%
0.0%
779
8.3%
0
16.7%
0
25.0%
0
33.3%
3
41.7%
0
50.0%
28
58.3%
1
66.7%
12
75.0%
18
83.3%
6
91.7%
555
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1402 · μ=0.4% · σ=0.8%
0.0%
1144
0.5%
36
1.1%
83
1.6%
56
2.2%
49
2.7%
15
3.2%
8
3.8%
2
4.3%
5
4.9%
2
5.4%
1
6.0%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.6% 2.2% 3.4%
RISP-AVG n=1402 · μ=0.281 · σ=0.118
0.000
18
0.069
118
0.138
274
0.207
335
0.276
267
0.345
166
0.414
138
0.483
68
0.552
16
0.621
1
0.690
0
0.759
1
10th25th Median 75th90th 95th99th
0.140 0.194 0.265 0.357 0.447 0.493 0.562
RISP-OPS n=1402 · μ=0.916 · σ=0.370
0.088
12
0.296
148
0.505
321
0.713
308
0.921
261
1.129
145
1.337
115
1.545
54
1.754
30
1.962
6
2.170
0
2.378
2
10th25th Median 75th90th 95th99th
0.500 0.645 0.850 1.133 1.470 1.609 1.906
RISP-Conv n=1402 · μ=0.37 · σ=0.173
0.00
28
0.09
147
0.19
311
0.28
358
0.38
219
0.47
139
0.57
101
0.66
60
0.76
24
0.85
11
0.95
2
1.04
2
10th25th Median 75th90th 95th99th
0.18 0.25 0.34 0.47 0.62 0.70 0.86
WAR n=1402 · μ=0.34 · σ=0.890
-1.31
30
-0.80
293
-0.29
489
0.23
262
0.74
124
1.25
80
1.76
70
2.27
26
2.78
14
3.29
8
3.80
4
4.31
2
10th25th Median 75th90th 95th99th
-0.49 -0.26 0.08 0.68 1.64 2.12 3.29

Pitching distributions

wERA n=925 · μ=11.19 · σ=3.933
3.71
51
6.02
174
8.34
250
10.65
196
12.96
123
15.28
64
17.59
38
19.90
18
22.22
6
24.53
2
26.84
2
29.16
1
10th25th Median 75th90th 95th99th
6.88 8.39 10.58 13.28 16.49 18.87 22.92
xRA n=925 · μ=11.19 · σ=3.933
3.71
51
6.02
174
8.34
250
10.65
196
12.96
123
15.28
64
17.59
38
19.90
18
22.22
6
24.53
2
26.84
2
29.16
1
10th25th Median 75th90th 95th99th
6.88 8.39 10.58 13.28 16.49 18.87 22.92
Decay n=739 · μ=+1.1 · σ=18.954
-77.6
3
-65.0
4
-52.4
3
-39.8
28
-27.2
93
-14.6
179
-2.0
231
+10.5
121
+23.1
49
+35.7
19
+48.3
5
+60.9
4
10th25th Median 75th90th 95th99th
-21.4 -10.3 +0.7 +11.6 +24.0 +32.1 +50.1
GSc avg n=925 · μ=49.2 · σ=5.126
33.0
7
35.7
13
38.4
41
41.2
83
43.9
127
46.6
188
49.3
210
52.1
140
54.8
72
57.5
25
60.2
14
62.9
5
10th25th Median 75th90th 95th99th
42.4 46.1 49.4 52.4 55.5 57.4 61.4
GSc+ n=925 · μ=102 · σ=10.191
69
4
74
14
80
37
86
67
91
131
97
216
102
215
108
129
114
69
119
27
125
12
131
4
10th25th Median 75th90th 95th99th
89 96 102 108 114 119 127
FOP n=925 · μ=62 · σ=9.475
26
2
31
3
35
20
40
27
45
40
49
100
54
118
59
174
64
207
68
134
73
74
78
26
10th25th Median 75th90th 95th99th
49 56 63 68 73 75 80
OS+ n=925 · μ=120 · σ=55.900
37
70
61
207
85
228
109
142
133
77
158
59
182
42
206
41
230
30
254
18
278
9
302
2
10th25th Median 75th90th 95th99th
63 80 104 147 209 242 279
GE n=925 · μ=3.0 · σ=1.584
1.4
351
2.1
210
2.9
131
3.6
88
4.3
42
5.0
23
5.8
37
6.5
19
7.2
8
7.9
11
8.7
3
9.4
2
10th25th Median 75th90th 95th99th
1.5 1.8 2.5 3.6 5.3 6.4 8.2
K% n=925 · μ=33.9% · σ=8.2%
9.5%
2
13.7%
16
17.9%
45
22.1%
98
26.3%
163
30.6%
197
34.8%
158
39.0%
123
43.2%
71
47.4%
33
51.6%
13
55.8%
6
10th25th Median 75th90th 95th99th
23.8% 28.0% 33.3% 39.3% 44.3% 48.0% 53.6%
BB% n=925 · μ=13.4% · σ=4.0%
2.2%
11
4.2%
20
6.2%
47
8.2%
120
10.2%
167
12.2%
180
14.2%
161
16.2%
108
18.2%
67
20.2%
27
22.2%
13
24.2%
4
10th25th Median 75th90th 95th99th
8.4% 10.6% 13.2% 16.0% 18.5% 20.1% 23.3%
HR% n=925 · μ=2.6% · σ=2.2%
0.0%
285
1.3%
253
2.5%
178
3.8%
99
5.1%
56
6.4%
26
7.6%
11
8.9%
11
10.2%
3
11.5%
2
12.7%
0
14.0%
1
10th25th Median 75th90th 95th99th
0.0% 1.1% 2.1% 3.6% 5.3% 6.7% 9.7%
K-BB% n=925 · μ=13.5% · σ=9.8%
-11.4%
13
-6.5%
41
-1.6%
88
3.4%
153
8.3%
181
13.3%
166
18.2%
128
23.1%
88
28.1%
42
33.0%
14
38.0%
8
42.9%
3
10th25th Median 75th90th 95th99th
1.4% 6.5% 13.0% 19.8% 26.5% 29.5% 39.1%
oAVG n=925 · μ=0.320 · σ=0.082
0.119
20
0.164
55
0.209
118
0.253
192
0.298
199
0.343
157
0.388
101
0.433
51
0.477
20
0.522
10
0.567
0
0.612
2
10th25th Median 75th90th 95th99th
0.220 0.263 0.317 0.371 0.426 0.461 0.530
WAR n=925 · μ=0.50 · σ=0.743
-1.23
14
-0.82
44
-0.41
142
0.00
291
0.42
222
0.83
84
1.24
53
1.65
34
2.07
18
2.48
13
2.89
4
3.30
6
10th25th Median 75th90th 95th99th
-0.26 0.06 0.38 0.77 1.51 1.99 2.90
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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