Distributions

League-wide player histograms · 554 games played · 1200 qualifying batters (14+ PA) · 784 qualifying pitchers (14+ outs)
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Player ID 869 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1200 · μ=0.365 · σ=0.124
0.000
10
0.063
20
0.127
54
0.190
149
0.253
209
0.317
209
0.380
222
0.443
176
0.507
88
0.570
43
0.633
18
0.697
2
10th25th Median 75th90th 95th99th
0.208 0.278 0.364 0.452 0.528 0.571 0.652
OPS n=1200 · μ=1.114 · σ=0.390
0.125
11
0.318
44
0.511
104
0.704
208
0.897
238
1.090
219
1.282
157
1.475
113
1.668
57
1.861
32
2.054
13
2.247
4
10th25th Median 75th90th 95th99th
0.645 0.838 1.083 1.360 1.630 1.783 2.133
OPS+ n=1200 · μ=101 · σ=35.315
11
11
29
45
47
107
64
208
82
246
100
203
117
173
135
110
153
50
171
30
188
14
206
3
10th25th Median 75th90th 95th99th
59 77 98 124 149 164 192
wOBA n=1200 · μ=0.485 · σ=0.233
0.014
44
0.129
120
0.244
222
0.358
255
0.473
212
0.588
136
0.702
100
0.817
64
0.931
21
1.046
14
1.161
8
1.275
4
10th25th Median 75th90th 95th99th
0.214 0.313 0.453 0.630 0.798 0.901 1.158
BAVG n=1200 · μ=0.417 · σ=0.142
0.000
10
0.071
13
0.142
56
0.212
131
0.283
201
0.354
224
0.425
203
0.496
180
0.567
105
0.637
47
0.708
22
0.779
8
10th25th Median 75th90th 95th99th
0.241 0.315 0.414 0.512 0.601 0.650 0.758
ISO n=1200 · μ=0.262 · σ=0.178
0.000
197
0.088
228
0.176
268
0.265
180
0.353
141
0.441
78
0.529
63
0.618
17
0.706
15
0.794
11
0.882
0
0.971
2
10th25th Median 75th90th 95th99th
0.062 0.128 0.231 0.364 0.501 0.587 0.816
BABIP n=1200 · μ=0.496 · σ=0.151
0.000
7
0.083
12
0.167
35
0.250
92
0.333
202
0.417
219
0.500
284
0.583
179
0.667
111
0.750
45
0.833
12
0.917
2
10th25th Median 75th90th 95th99th
0.300 0.400 0.500 0.600 0.688 0.741 0.833
K% n=1200 · μ=18.1% · σ=9.3%
0.0%
68
4.9%
158
9.8%
239
14.7%
248
19.6%
218
24.5%
130
29.4%
69
34.3%
37
39.2%
22
44.1%
4
49.0%
5
53.9%
2
10th25th Median 75th90th 95th99th
6.8% 11.5% 17.4% 23.5% 30.0% 35.1% 42.9%
BB% n=1200 · μ=10.4% · σ=6.5%
0.0%
126
3.0%
199
6.0%
215
8.9%
212
11.9%
179
14.9%
107
17.9%
79
20.8%
44
23.8%
23
26.8%
6
29.8%
8
32.7%
2
10th25th Median 75th90th 95th99th
2.9% 5.7% 10.0% 14.3% 19.3% 22.2% 28.6%
2C-RBI% n=1200 · μ=4.7% · σ=10.1%
0.0%
932
8.3%
135
16.7%
71
25.0%
28
33.3%
20
41.7%
1
50.0%
9
58.3%
1
66.7%
0
75.0%
0
83.3%
0
91.7%
3
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.7% 16.7% 25.0% 50.0%
2C-Conv% n=1200 · μ=31.8% · σ=46.0%
0.0%
806
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
20
58.3%
0
66.7%
6
75.0%
2
83.3%
0
91.7%
366
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1200 · μ=0.4% · σ=1.5%
0.0%
1073
1.4%
34
2.8%
44
4.2%
29
5.6%
10
6.9%
5
8.3%
1
9.7%
2
11.1%
0
12.5%
0
13.9%
0
15.3%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 2.1% 3.6% 6.3%
RISP-AVG n=1200 · μ=0.355 · σ=0.144
0.000
15
0.071
54
0.143
131
0.214
177
0.286
233
0.357
211
0.429
160
0.500
130
0.571
56
0.643
21
0.714
10
0.786
2
10th25th Median 75th90th 95th99th
0.167 0.250 0.350 0.455 0.545 0.611 0.700
RISP-OPS n=1200 · μ=1.091 · σ=0.433
0.000
12
0.226
56
0.452
135
0.679
233
0.905
246
1.131
214
1.357
138
1.583
90
1.810
51
2.036
17
2.262
5
2.488
3
10th25th Median 75th90th 95th99th
0.562 0.778 1.067 1.361 1.680 1.833 2.182
RISP-Conv n=1200 · μ=0.43 · σ=0.206
0.00
43
0.10
97
0.19
181
0.29
217
0.39
219
0.49
169
0.58
113
0.68
95
0.78
37
0.88
13
0.97
12
1.07
4
10th25th Median 75th90th 95th99th
0.18 0.29 0.42 0.57 0.71 0.78 1.00
WAR n=1200 · μ=0.13 · σ=0.328
-0.47
70
-0.25
377
-0.02
381
0.20
191
0.43
95
0.65
42
0.88
20
1.10
14
1.32
7
1.55
1
1.77
1
2.00
1
10th25th Median 75th90th 95th99th
-0.19 -0.08 0.06 0.27 0.55 0.72 1.26

Pitching distributions

wERA n=784 · μ=13.82 · σ=5.600
0.00
4
3.74
67
7.48
218
11.21
212
14.95
147
18.69
76
22.43
31
26.16
22
29.90
4
33.64
2
37.38
0
41.11
1
10th25th Median 75th90th 95th99th
7.64 9.94 12.91 17.14 21.16 24.79 29.02
xRA n=784 · μ=13.82 · σ=5.600
0.00
4
3.74
67
7.48
218
11.21
212
14.95
147
18.69
76
22.43
31
26.16
22
29.90
4
33.64
2
37.38
0
41.11
1
10th25th Median 75th90th 95th99th
7.64 9.94 12.91 17.14 21.16 24.79 29.02
Decay n=372 · μ=+3.5 · σ=22.809
-81.5
3
-67.8
1
-54.0
5
-40.2
25
-26.5
42
-12.7
91
+1.1
90
+14.9
73
+28.6
30
+42.4
7
+56.2
3
+69.9
2
10th25th Median 75th90th 95th99th
-25.3 -9.7 +2.5 +19.1 +30.6 +37.7 +59.2
GSc avg n=784 · μ=50.5 · σ=6.429
27.2
3
31.4
10
35.5
23
39.7
61
43.8
151
47.9
214
52.1
200
56.2
85
60.4
25
64.5
2
68.6
8
72.8
2
10th25th Median 75th90th 95th99th
42.5 46.8 50.7 54.4 58.2 60.1 69.5
GSc+ n=784 · μ=102 · σ=12.933
55
4
64
12
73
27
81
73
90
170
98
229
107
175
116
65
124
18
133
3
141
7
150
1
10th25th Median 75th90th 95th99th
86 94 102 110 118 122 139
FOP n=784 · μ=63 · σ=10.850
18
1
23
3
29
7
35
15
41
30
46
65
52
100
58
126
64
175
69
161
75
82
81
19
10th25th Median 75th90th 95th99th
49 57 65 71 76 79 82
OS+ n=784 · μ=124 · σ=64.274
43
129
72
216
101
166
130
108
158
45
187
38
216
30
245
19
274
14
302
6
331
5
360
8
10th25th Median 75th90th 95th99th
65 77 107 148 216 259 357
GE n=784 · μ=1.1 · σ=0.556
0.5
308
0.8
191
1.0
112
1.3
72
1.6
27
1.8
29
2.1
12
2.4
10
2.6
8
2.9
6
3.2
5
3.4
4
10th25th Median 75th90th 95th99th
0.6 0.7 0.9 1.3 1.8 2.3 3.3
K% n=784 · μ=25.0% · σ=8.9%
0.0%
5
4.9%
25
9.8%
60
14.7%
121
19.6%
194
24.5%
144
29.4%
121
34.3%
62
39.2%
35
44.1%
11
49.0%
5
53.9%
1
10th25th Median 75th90th 95th99th
13.7% 19.2% 24.2% 30.8% 37.1% 40.5% 46.7%
BB% n=784 · μ=10.4% · σ=5.1%
0.0%
27
2.4%
82
4.8%
93
7.1%
159
9.5%
134
11.9%
110
14.3%
77
16.7%
61
19.0%
21
21.4%
15
23.8%
3
26.2%
2
10th25th Median 75th90th 95th99th
4.0% 7.0% 10.0% 13.6% 17.1% 19.4% 22.5%
HR% n=784 · μ=3.3% · σ=3.5%
0.0%
305
1.6%
124
3.1%
132
4.7%
75
6.2%
67
7.8%
37
9.4%
11
10.9%
14
12.5%
6
14.1%
6
15.6%
5
17.2%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.8% 5.3% 7.9% 9.8% 15.4%
K-BB% n=784 · μ=8.7% · σ=10.3%
-22.9%
3
-17.1%
11
-11.3%
38
-5.5%
135
0.3%
151
6.1%
176
11.9%
124
17.7%
78
23.5%
41
29.3%
18
35.1%
8
40.9%
1
10th25th Median 75th90th 95th99th
-3.3% 1.9% 8.0% 15.1% 22.2% 26.3% 35.3%
oAVG n=784 · μ=0.393 · σ=0.102
0.000
1
0.061
0
0.122
14
0.183
36
0.244
95
0.304
162
0.365
190
0.426
144
0.487
93
0.548
35
0.609
12
0.670
2
10th25th Median 75th90th 95th99th
0.267 0.325 0.388 0.462 0.526 0.562 0.617
WAR n=784 · μ=0.20 · σ=0.332
-0.70
5
-0.48
38
-0.26
110
-0.04
254
0.19
224
0.41
90
0.63
30
0.86
15
1.08
9
1.30
5
1.52
1
1.75
3
10th25th Median 75th90th 95th99th
-0.16 -0.00 0.17 0.35 0.57 0.76 1.31
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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