Distributions

League-wide player histograms · 1586 games played · 1420 qualifying batters (31+ PA) · 929 qualifying pitchers (31+ outs)
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Player ID 5250 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1420 · μ=0.296 · σ=0.110
0.050
30
0.106
104
0.161
240
0.217
274
0.273
258
0.328
207
0.384
138
0.440
100
0.495
47
0.551
18
0.607
3
0.662
1
10th25th Median 75th90th 95th99th
0.163 0.212 0.284 0.369 0.449 0.494 0.562
OPS n=1420 · μ=0.952 · σ=0.358
0.222
34
0.404
165
0.585
295
0.766
302
0.947
227
1.129
161
1.310
111
1.491
67
1.673
36
1.854
17
2.035
2
2.217
3
10th25th Median 75th90th 95th99th
0.541 0.678 0.895 1.176 1.455 1.632 1.919
OPS+ n=1420 · μ=103 · σ=37.486
27
39
46
171
65
294
84
271
102
228
121
168
140
126
159
70
178
30
197
15
216
6
234
2
10th25th Median 75th90th 95th99th
59 75 98 127 155 174 204
wOBA n=1420 · μ=0.453 · σ=0.203
0.077
67
0.184
264
0.292
333
0.399
278
0.506
182
0.613
137
0.720
85
0.827
39
0.934
23
1.042
8
1.149
2
1.256
2
10th25th Median 75th90th 95th99th
0.225 0.300 0.414 0.572 0.740 0.836 1.033
BAVG n=1420 · μ=0.354 · σ=0.135
0.056
26
0.122
100
0.188
244
0.254
277
0.320
238
0.386
206
0.452
137
0.518
103
0.584
56
0.650
26
0.716
6
0.782
1
10th25th Median 75th90th 95th99th
0.196 0.250 0.335 0.444 0.543 0.598 0.679
ISO n=1420 · μ=0.206 · σ=0.145
0.000
290
0.083
393
0.167
286
0.250
197
0.333
111
0.417
83
0.500
30
0.583
18
0.667
9
0.750
1
0.833
0
0.917
2
10th25th Median 75th90th 95th99th
0.053 0.097 0.174 0.286 0.419 0.480 0.650
BABIP n=1420 · μ=0.459 · σ=0.130
0.050
3
0.120
19
0.189
56
0.259
134
0.328
263
0.398
297
0.467
250
0.537
194
0.606
130
0.676
58
0.746
11
0.815
5
10th25th Median 75th90th 95th99th
0.291 0.364 0.455 0.552 0.636 0.677 0.765
K% n=1420 · μ=24.3% · σ=10.2%
2.6%
39
7.6%
154
12.6%
206
17.6%
256
22.6%
224
27.6%
227
32.6%
176
37.6%
83
42.5%
33
47.5%
15
52.5%
3
57.5%
4
10th25th Median 75th90th 95th99th
11.1% 16.2% 23.8% 31.5% 37.5% 40.9% 49.8%
BB% n=1420 · μ=13.1% · σ=5.0%
0.0%
12
2.7%
51
5.4%
161
8.1%
264
10.9%
320
13.6%
267
16.3%
166
19.0%
96
21.7%
52
24.4%
25
27.1%
4
29.8%
2
10th25th Median 75th90th 95th99th
7.1% 9.5% 12.8% 16.1% 20.0% 21.9% 26.2%
2C-RBI% n=1420 · μ=3.6% · σ=6.1%
0.0%
953
3.7%
160
7.4%
132
11.1%
88
14.8%
35
18.5%
24
22.2%
15
25.9%
8
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=1420 · μ=39.4% · σ=48.0%
0.0%
840
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%
13
83.3%
1
91.7%
526
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1420 · μ=0.4% · σ=0.9%
0.0%
1175
0.6%
19
1.2%
92
1.8%
44
2.4%
39
3.0%
22
3.6%
19
4.2%
1
4.8%
7
5.4%
0
6.0%
1
6.5%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.7% 2.6% 3.8%
RISP-AVG n=1420 · μ=0.290 · σ=0.119
0.000
20
0.072
123
0.145
292
0.217
325
0.290
290
0.362
176
0.435
131
0.507
51
0.580
9
0.652
2
0.725
0
0.797
1
10th25th Median 75th90th 95th99th
0.143 0.200 0.280 0.366 0.462 0.500 0.565
RISP-OPS n=1420 · μ=0.940 · σ=0.375
0.097
14
0.310
144
0.523
328
0.736
314
0.949
271
1.162
148
1.374
112
1.587
58
1.800
24
2.013
3
2.226
2
2.439
2
10th25th Median 75th90th 95th99th
0.500 0.658 0.879 1.154 1.482 1.636 1.910
RISP-Conv n=1420 · μ=0.38 · σ=0.178
0.00
39
0.10
141
0.20
357
0.30
307
0.40
242
0.50
157
0.60
99
0.70
42
0.80
27
0.90
5
1.00
3
1.10
1
10th25th Median 75th90th 95th99th
0.18 0.25 0.35 0.48 0.63 0.72 0.85
WAR n=1420 · μ=0.28 · σ=0.711
-1.09
41
-0.62
381
-0.14
506
0.34
239
0.81
112
1.29
74
1.77
38
2.25
16
2.72
7
3.20
5
3.68
0
4.16
1
10th25th Median 75th90th 95th99th
-0.40 -0.20 0.10 0.58 1.28 1.73 2.61

Pitching distributions

wERA n=929 · μ=11.44 · σ=4.176
2.76
23
5.17
127
7.58
233
9.99
232
12.40
153
14.81
73
17.22
52
19.63
15
22.04
11
24.45
5
26.86
1
29.27
4
10th25th Median 75th90th 95th99th
6.75 8.57 10.80 13.53 17.12 19.01 24.57
xRA n=929 · μ=11.44 · σ=4.176
2.76
23
5.17
127
7.58
233
9.99
232
12.40
153
14.81
73
17.22
52
19.63
15
22.04
11
24.45
5
26.86
1
29.27
4
10th25th Median 75th90th 95th99th
6.75 8.57 10.80 13.53 17.12 19.01 24.57
Decay n=702 · μ=+1.0 · σ=20.502
-77.6
4
-64.8
6
-51.9
5
-39.1
39
-26.2
103
-13.4
172
-0.5
202
+12.3
95
+25.2
50
+38.0
18
+50.9
3
+63.7
5
10th25th Median 75th90th 95th99th
-23.1 -10.6 +0.9 +12.1 +26.2 +34.9 +52.4
GSc avg n=929 · μ=49.4 · σ=5.269
30.6
3
33.6
6
36.6
23
39.6
70
42.6
101
45.6
180
48.6
229
51.6
185
54.6
73
57.6
42
60.6
13
63.5
4
10th25th Median 75th90th 95th99th
42.3 46.4 49.6 52.7 56.0 58.1 61.4
GSc+ n=929 · μ=102 · σ=10.482
64
2
70
7
76
23
82
57
88
108
94
180
100
251
106
156
112
86
118
43
124
11
130
5
10th25th Median 75th90th 95th99th
88 96 103 108 115 119 127
FOP n=929 · μ=62 · σ=9.660
25
1
30
4
35
17
40
25
45
57
50
116
55
129
60
170
65
204
69
134
74
61
79
11
10th25th Median 75th90th 95th99th
49 55 63 68 73 76 80
OS+ n=929 · μ=121 · σ=56.637
41
97
65
220
89
216
114
140
138
67
162
44
187
57
211
33
236
26
260
19
284
5
309
5
10th25th Median 75th90th 95th99th
64 79 105 145 206 244 284
GE n=929 · μ=2.4 · σ=1.284
1.1
351
1.7
204
2.3
158
2.9
66
3.5
42
4.1
30
4.6
25
5.2
26
5.8
10
6.4
12
7.0
4
7.6
1
10th25th Median 75th90th 95th99th
1.3 1.5 2.0 2.9 4.3 5.3 6.7
K% n=929 · μ=33.3% · σ=8.6%
12.9%
18
17.3%
61
21.6%
107
26.0%
170
30.4%
185
34.7%
162
39.1%
111
43.5%
62
47.8%
39
52.2%
9
56.6%
4
60.9%
1
10th25th Median 75th90th 95th99th
22.5% 27.4% 32.9% 38.9% 44.9% 48.8% 54.0%
BB% n=929 · μ=13.3% · σ=4.3%
0.0%
6
2.4%
15
4.7%
43
7.1%
110
9.4%
168
11.8%
208
14.1%
172
16.5%
109
18.8%
66
21.2%
21
23.5%
6
25.9%
5
10th25th Median 75th90th 95th99th
8.2% 10.3% 13.1% 16.0% 19.1% 20.3% 24.1%
HR% n=929 · μ=2.6% · σ=2.3%
0.0%
273
1.2%
219
2.3%
163
3.5%
108
4.6%
68
5.8%
49
6.9%
23
8.1%
12
9.2%
6
10.4%
4
11.5%
2
12.7%
2
10th25th Median 75th90th 95th99th
0.0% 0.9% 2.1% 3.8% 5.9% 7.0% 10.0%
K-BB% n=929 · μ=12.9% · σ=10.4%
-13.6%
14
-8.4%
30
-3.3%
80
1.8%
145
6.9%
177
12.0%
178
17.1%
137
22.2%
89
27.4%
45
32.5%
19
37.6%
8
42.7%
7
10th25th Median 75th90th 95th99th
0.0% 5.7% 12.5% 19.4% 26.3% 30.1% 40.5%
oAVG n=929 · μ=0.326 · σ=0.086
0.071
5
0.119
19
0.167
56
0.214
126
0.262
200
0.310
214
0.357
150
0.405
85
0.452
40
0.500
22
0.548
9
0.595
3
10th25th Median 75th90th 95th99th
0.220 0.267 0.321 0.380 0.434 0.477 0.550
WAR n=929 · μ=0.42 · σ=0.623
-1.23
8
-0.87
22
-0.52
87
-0.16
225
0.19
296
0.55
141
0.90
62
1.26
40
1.61
17
1.97
16
2.32
11
2.68
4
10th25th Median 75th90th 95th99th
-0.25 0.05 0.33 0.64 1.21 1.64 2.48
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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