Distributions

League-wide player histograms · 642 games played · 321 qualifying batters (53+ PA) · 196 qualifying pitchers (53+ outs)
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Player ID 6838 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=321 · μ=0.252 · σ=0.094
0.052
5
0.098
24
0.145
58
0.191
68
0.237
70
0.284
41
0.330
18
0.376
16
0.423
14
0.469
4
0.515
1
0.562
2
10th25th Median 75th90th 95th99th
0.147 0.186 0.241 0.300 0.385 0.430 0.504
OPS n=321 · μ=0.815 · σ=0.294
0.182
3
0.331
24
0.480
66
0.630
78
0.779
64
0.928
35
1.077
17
1.227
15
1.376
11
1.525
4
1.674
2
1.824
1
10th25th Median 75th90th 95th99th
0.500 0.610 0.759 0.955 1.259 1.405 1.674
OPS+ n=321 · μ=104 · σ=37.732
24
3
43
25
62
70
82
75
101
65
121
33
140
17
159
15
179
10
198
4
217
2
237
2
10th25th Median 75th90th 95th99th
64 78 97 121 160 182 217
wOBA n=321 · μ=0.413 · σ=0.168
0.079
4
0.165
39
0.251
80
0.337
73
0.423
52
0.509
30
0.595
17
0.681
12
0.767
7
0.853
3
0.939
2
1.025
2
10th25th Median 75th90th 95th99th
0.237 0.293 0.374 0.489 0.654 0.728 0.944
BAVG n=321 · μ=0.302 · σ=0.114
0.056
5
0.114
23
0.172
65
0.230
72
0.288
67
0.345
36
0.403
15
0.461
19
0.519
12
0.577
5
0.634
1
0.692
1
10th25th Median 75th90th 95th99th
0.178 0.217 0.286 0.358 0.472 0.527 0.617
ISO n=321 · μ=0.155 · σ=0.110
0.000
44
0.056
94
0.112
75
0.168
42
0.224
24
0.281
19
0.337
11
0.393
3
0.449
3
0.505
3
0.561
2
0.617
1
10th25th Median 75th90th 95th99th
0.047 0.077 0.125 0.200 0.302 0.353 0.520
BABIP n=321 · μ=0.413 · σ=0.112
0.105
1
0.162
9
0.220
26
0.277
40
0.334
62
0.391
82
0.448
39
0.506
24
0.563
20
0.620
14
0.677
3
0.734
1
10th25th Median 75th90th 95th99th
0.273 0.340 0.407 0.472 0.574 0.633 0.676
K% n=321 · μ=27.2% · σ=8.6%
3.7%
5
7.4%
4
11.1%
19
14.7%
32
18.4%
27
22.1%
49
25.8%
47
29.4%
62
33.1%
33
36.8%
23
40.5%
17
44.1%
3
10th25th Median 75th90th 95th99th
15.3% 21.3% 27.7% 32.9% 38.5% 41.6% 43.8%
BB% n=321 · μ=13.7% · σ=4.2%
2.7%
3
4.9%
10
7.2%
32
9.4%
54
11.6%
80
13.8%
58
16.0%
40
18.2%
23
20.4%
12
22.6%
5
24.8%
0
27.0%
4
10th25th Median 75th90th 95th99th
9.0% 10.8% 13.3% 16.2% 19.6% 21.0% 26.5%
2C-RBI% n=321 · μ=2.7% · σ=4.9%
0.0%
220
2.3%
18
4.5%
33
6.8%
12
9.1%
17
11.4%
5
13.6%
6
15.9%
1
18.2%
6
20.5%
1
22.7%
0
25.0%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 4.5% 9.4% 13.2% 19.9%
2C-Conv% n=321 · μ=37.0% · σ=47.9%
0.0%
200
8.3%
0
16.7%
0
25.0%
0
33.3%
1
41.7%
0
50.0%
2
58.3%
0
66.7%
2
75.0%
0
83.3%
0
91.7%
116
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=321 · μ=0.2% · σ=0.6%
0.0%
278
0.3%
0
0.6%
5
1.0%
16
1.3%
9
1.6%
6
1.9%
2
2.2%
1
2.6%
0
2.9%
2
3.2%
0
3.5%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.0% 1.5% 2.9%
RISP-AVG n=321 · μ=0.244 · σ=0.101
0.022
3
0.071
26
0.120
47
0.169
70
0.219
64
0.268
41
0.317
30
0.366
14
0.415
20
0.464
2
0.513
3
0.562
1
10th25th Median 75th90th 95th99th
0.123 0.172 0.235 0.299 0.391 0.438 0.521
RISP-OPS n=321 · μ=0.809 · σ=0.303
0.200
6
0.340
29
0.480
61
0.619
62
0.759
61
0.899
41
1.039
20
1.179
17
1.319
11
1.458
6
1.598
4
1.738
2
10th25th Median 75th90th 95th99th
0.469 0.589 0.763 0.957 1.226 1.400 1.683
RISP-Conv n=321 · μ=0.32 · σ=0.138
0.06
20
0.13
38
0.20
73
0.27
62
0.33
55
0.40
28
0.47
20
0.53
13
0.60
3
0.67
5
0.73
3
0.80
1
10th25th Median 75th90th 95th99th
0.16 0.22 0.30 0.39 0.49 0.56 0.74
WAR n=321 · μ=0.37 · σ=0.902
-1.24
18
-0.61
115
0.01
100
0.63
41
1.26
20
1.88
17
2.50
7
3.13
1
3.75
1
4.37
0
4.99
0
5.62
1
10th25th Median 75th90th 95th99th
-0.45 -0.22 0.17 0.72 1.68 2.15 2.99

Pitching distributions

wERA n=196 · μ=8.81 · σ=2.950
3.82
17
5.54
48
7.27
56
8.99
30
10.71
25
12.44
12
14.16
2
15.89
4
17.61
1
19.33
0
21.06
0
22.78
1
10th25th Median 75th90th 95th99th
5.60 6.72 8.33 10.16 12.50 13.93 17.02
xRA n=196 · μ=8.81 · σ=2.950
3.82
17
5.54
48
7.27
56
8.99
30
10.71
25
12.44
12
14.16
2
15.89
4
17.61
1
19.33
0
21.06
0
22.78
1
10th25th Median 75th90th 95th99th
5.60 6.72 8.33 10.16 12.50 13.93 17.02
Decay n=181 · μ=+2.3 · σ=16.731
-29.5
8
-20.8
28
-12.1
36
-3.4
39
+5.3
36
+13.9
18
+22.6
7
+31.3
5
+40.0
1
+48.7
0
+57.4
1
+66.0
2
10th25th Median 75th90th 95th99th
-16.9 -9.4 -0.1 +11.4 +21.0 +29.7 +64.9
GSc avg n=196 · μ=48.4 · σ=4.660
33.0
1
35.1
0
37.3
5
39.5
11
41.6
15
43.8
21
46.0
37
48.1
39
50.3
29
52.4
19
54.6
14
56.8
5
10th25th Median 75th90th 95th99th
42.1 45.6 48.5 51.4 54.6 56.1 57.9
GSc+ n=196 · μ=102 · σ=9.710
70
1
75
2
79
4
83
8
88
19
92
20
97
33
101
40
105
30
110
16
114
17
119
6
10th25th Median 75th90th 95th99th
89 96 102 109 115 117 122
FOP n=196 · μ=61 · σ=8.988
33
2
37
2
41
7
45
9
49
16
52
22
56
25
60
36
64
39
68
20
72
13
76
5
10th25th Median 75th90th 95th99th
49 55 62 67 71 74 79
OS+ n=196 · μ=118 · σ=46.108
45
15
61
28
77
28
93
31
109
17
125
12
141
21
157
18
173
7
189
11
205
4
221
3
10th25th Median 75th90th 95th99th
65 79 107 151 187 202 226
GE n=196 · μ=4.5 · σ=2.117
2.0
48
2.8
35
3.6
30
4.4
20
5.2
18
6.0
11
6.8
13
7.6
9
8.4
6
9.2
3
10.0
2
10.9
1
10th25th Median 75th90th 95th99th
2.3 2.8 4.0 5.9 7.7 8.6 10.1
K% n=196 · μ=34.9% · σ=7.7%
15.3%
2
18.5%
8
21.7%
8
24.9%
17
28.1%
32
31.3%
26
34.5%
25
37.7%
34
40.9%
20
44.1%
16
47.4%
6
50.6%
2
10th25th Median 75th90th 95th99th
25.4% 29.3% 34.9% 40.3% 45.0% 46.7% 50.6%
BB% n=196 · μ=13.7% · σ=3.7%
5.7%
6
7.5%
20
9.2%
23
11.0%
30
12.8%
34
14.5%
34
16.3%
29
18.0%
12
19.8%
3
21.5%
2
23.3%
2
25.0%
1
10th25th Median 75th90th 95th99th
8.9% 11.0% 14.0% 16.1% 18.0% 19.5% 23.7%
HR% n=196 · μ=1.9% · σ=1.4%
0.0%
38
0.6%
38
1.3%
41
1.9%
26
2.6%
21
3.2%
17
3.9%
3
4.5%
6
5.2%
1
5.8%
3
6.5%
1
7.1%
1
10th25th Median 75th90th 95th99th
0.0% 0.9% 1.6% 2.7% 3.6% 4.6% 6.2%
K-BB% n=196 · μ=14.8% · σ=9.0%
-16.1%
2
-11.8%
0
-7.5%
3
-3.3%
7
1.0%
18
5.2%
26
9.5%
30
13.8%
37
18.0%
33
22.3%
20
26.6%
15
30.8%
5
10th25th Median 75th90th 95th99th
3.8% 9.1% 15.0% 21.0% 26.5% 28.6% 32.4%
oAVG n=196 · μ=0.281 · σ=0.074
0.140
5
0.171
24
0.203
28
0.234
30
0.265
31
0.297
29
0.328
20
0.359
14
0.391
5
0.422
5
0.453
4
0.485
1
10th25th Median 75th90th 95th99th
0.190 0.223 0.276 0.329 0.379 0.422 0.466
WAR n=196 · μ=0.56 · σ=0.778
-2.03
1
-1.64
0
-1.24
3
-0.84
9
-0.45
30
-0.05
40
0.35
41
0.74
29
1.14
19
1.54
15
1.93
2
2.33
6
10th25th Median 75th90th 95th99th
-0.34 0.09 0.45 1.02 1.58 1.82 2.61
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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