Distributions

League-wide player histograms · 591 games played · 503 qualifying batters (32+ PA) · 353 qualifying pitchers (32+ outs)
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Player ID 1815 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=503 · μ=0.404 · σ=0.140
0.045
2
0.105
10
0.165
42
0.225
72
0.285
65
0.344
65
0.404
68
0.464
68
0.524
49
0.584
40
0.644
19
0.703
3
10th25th Median 75th90th 95th99th
0.224 0.285 0.400 0.510 0.602 0.642 0.680
OPS n=503 · μ=1.196 · σ=0.429
0.295
6
0.450
27
0.605
58
0.759
69
0.914
56
1.069
62
1.223
55
1.378
41
1.532
44
1.687
41
1.842
28
1.996
16
10th25th Median 75th90th 95th99th
0.660 0.830 1.151 1.552 1.823 1.911 2.045
OPS+ n=503 · μ=101 · σ=36.116
25
6
38
28
51
59
64
67
77
61
91
58
104
57
117
43
130
37
144
48
157
31
170
8
10th25th Median 75th90th 95th99th
56 70 97 130 155 162 170
wOBA n=503 · μ=0.535 · σ=0.206
0.143
18
0.219
38
0.296
79
0.372
66
0.449
62
0.525
60
0.601
43
0.678
42
0.754
39
0.830
36
0.907
17
0.983
3
10th25th Median 75th90th 95th99th
0.286 0.367 0.508 0.703 0.843 0.894 0.970
BAVG n=503 · μ=0.465 · σ=0.165
0.056
2
0.124
13
0.193
41
0.261
76
0.330
55
0.399
66
0.467
73
0.536
64
0.604
49
0.673
40
0.742
19
0.810
4
10th25th Median 75th90th 95th99th
0.250 0.326 0.467 0.591 0.695 0.737 0.804
ISO n=503 · μ=0.261 · σ=0.164
0.000
45
0.064
72
0.129
95
0.193
73
0.258
60
0.322
41
0.387
35
0.451
42
0.516
18
0.580
13
0.645
7
0.709
2
10th25th Median 75th90th 95th99th
0.069 0.135 0.227 0.373 0.500 0.562 0.663
BABIP n=503 · μ=0.595 · σ=0.163
0.125
2
0.204
10
0.283
26
0.362
62
0.441
65
0.520
85
0.600
96
0.679
73
0.758
51
0.837
22
0.916
7
0.995
4
10th25th Median 75th90th 95th99th
0.375 0.476 0.600 0.714 0.800 0.846 0.964
K% n=503 · μ=22.7% · σ=10.5%
3.7%
31
8.5%
75
13.3%
82
18.1%
85
22.9%
87
27.7%
60
32.5%
29
37.3%
33
42.1%
12
46.9%
5
51.8%
3
56.6%
0
10th25th Median 75th90th 95th99th
10.0% 14.7% 21.8% 28.6% 37.8% 41.2% 50.0%
BB% n=503 · μ=10.9% · σ=4.3%
0.0%
7
2.1%
15
4.2%
58
6.4%
68
8.5%
102
10.6%
92
12.7%
81
14.9%
31
17.0%
27
19.1%
15
21.2%
4
23.4%
3
10th25th Median 75th90th 95th99th
5.6% 7.9% 10.6% 13.5% 16.7% 18.8% 22.2%
2C-RBI% n=503 · μ=18.5% · σ=14.5%
0.0%
124
8.3%
122
16.7%
115
25.0%
68
33.3%
36
41.7%
14
50.0%
20
58.3%
2
66.7%
0
75.0%
0
83.3%
0
91.7%
2
10th25th Median 75th90th 95th99th
0.0% 8.3% 16.7% 25.9% 37.1% 48.7% 57.1%
2C-Conv% n=503 · μ=64.7% · σ=29.4%
0.0%
33
8.3%
5
16.7%
15
25.0%
30
33.3%
33
41.7%
11
50.0%
52
58.3%
37
66.7%
43
75.0%
69
83.3%
71
91.7%
104
10th25th Median 75th90th 95th99th
22.2% 46.2% 71.4% 88.9% 100.0% 100.0% 100.0%
MhAB% n=503 · μ=2.9% · σ=3.0%
0.0%
187
1.4%
103
2.7%
76
4.1%
47
5.4%
28
6.8%
31
8.1%
12
9.5%
11
10.9%
4
12.2%
2
13.6%
1
14.9%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.3% 4.3% 7.2% 8.7% 12.1%
RISP-AVG n=503 · μ=0.426 · σ=0.181
0.000
2
0.083
25
0.167
52
0.250
89
0.333
93
0.417
68
0.500
67
0.583
48
0.667
37
0.750
11
0.833
7
0.917
4
10th25th Median 75th90th 95th99th
0.200 0.286 0.404 0.547 0.674 0.721 0.869
RISP-OPS n=503 · μ=1.254 · σ=0.520
0.217
17
0.442
47
0.666
82
0.890
83
1.115
71
1.339
62
1.563
49
1.788
46
2.012
28
2.236
12
2.460
5
2.685
1
10th25th Median 75th90th 95th99th
0.619 0.852 1.211 1.634 2.000 2.161 2.525
RISP-Conv n=503 · μ=0.49 · σ=0.232
0.06
25
0.18
85
0.30
109
0.42
111
0.54
53
0.66
61
0.78
22
0.90
29
1.02
6
1.14
1
1.26
0
1.38
1
10th25th Median 75th90th 95th99th
0.23 0.31 0.44 0.64 0.82 0.94 1.04
WAR n=503 · μ=0.19 · σ=0.617
-1.07
8
-0.81
31
-0.54
85
-0.28
97
-0.02
92
0.24
57
0.51
42
0.77
31
1.03
26
1.30
18
1.56
9
1.82
7
10th25th Median 75th90th 95th99th
-0.48 -0.28 0.06 0.55 1.13 1.39 1.83

Pitching distributions

wERA n=353 · μ=10.20 · σ=3.751
2.61
10
4.25
33
5.88
49
7.52
59
9.15
54
10.78
57
12.42
34
14.05
27
15.69
15
17.32
10
18.95
1
20.59
4
10th25th Median 75th90th 95th99th
5.55 7.41 9.88 12.44 15.06 16.72 20.03
xRA n=353 · μ=10.25 · σ=3.277
3.55
6
5.00
36
6.45
58
7.90
62
9.35
41
10.80
53
12.25
40
13.70
29
15.15
16
16.60
6
18.05
3
19.50
3
10th25th Median 75th90th 95th99th
6.34 7.71 9.84 12.51 14.75 15.86 18.24
Decay n=269 · μ=+2.6 · σ=18.616
-76.1
2
-65.5
0
-54.8
0
-44.2
5
-33.5
8
-22.9
40
-12.3
56
-1.6
58
+9.0
53
+19.7
25
+30.3
20
+41.0
1
10th25th Median 75th90th 95th99th
-18.4 -8.5 +2.4 +14.2 +26.7 +33.9 +39.1
GSc avg n=353 · μ=49.8 · σ=5.130
34.0
2
36.5
11
39.1
11
41.7
24
44.2
38
46.8
74
49.4
70
51.9
61
54.5
35
57.1
19
59.6
6
62.2
2
10th25th Median 75th90th 95th99th
43.0 46.8 49.9 53.2 56.3 57.6 60.5
GSc+ n=353 · μ=101 · σ=10.335
69
5
75
9
80
9
85
24
90
41
95
59
100
72
105
64
110
40
115
22
120
6
125
2
10th25th Median 75th90th 95th99th
87 95 101 108 114 117 122
FOP n=353 · μ=52 · σ=9.778
23
1
27
4
32
16
36
35
41
33
45
52
50
68
54
61
59
38
64
31
68
11
73
3
10th25th Median 75th90th 95th99th
38 45 52 59 65 67 72
OS+ n=353 · μ=120 · σ=55.764
43
56
69
87
94
74
120
50
145
25
170
22
196
14
221
10
247
7
272
6
297
1
323
1
10th25th Median 75th90th 95th99th
63 78 107 142 205 241 282
GE n=353 · μ=2.4 · σ=1.229
1.2
139
1.8
91
2.4
45
3.0
22
3.7
25
4.3
15
4.9
7
5.5
5
6.1
0
6.8
1
7.4
1
8.0
2
10th25th Median 75th90th 95th99th
1.3 1.6 2.0 2.9 4.0 4.8 6.5
K% n=353 · μ=30.2% · σ=7.4%
8.5%
4
12.6%
4
16.7%
25
20.8%
44
24.9%
86
29.1%
67
33.2%
66
37.3%
28
41.4%
20
45.5%
7
49.7%
0
53.8%
2
10th25th Median 75th90th 95th99th
21.3% 25.4% 29.5% 35.0% 40.2% 42.8% 47.2%
BB% n=353 · μ=11.0% · σ=4.0%
2.6%
15
4.6%
27
6.6%
61
8.6%
73
10.6%
70
12.6%
51
14.6%
25
16.6%
17
18.6%
8
20.5%
3
22.5%
1
24.5%
2
10th25th Median 75th90th 95th99th
6.3% 8.2% 10.6% 13.3% 16.2% 18.0% 21.2%
HR% n=353 · μ=3.6% · σ=2.7%
0.0%
62
1.2%
67
2.3%
53
3.5%
65
4.7%
36
5.8%
32
7.0%
9
8.2%
16
9.3%
6
10.5%
5
11.7%
0
12.8%
2
10th25th Median 75th90th 95th99th
0.0% 1.7% 3.4% 5.1% 7.2% 9.1% 10.9%
K-BB% n=353 · μ=12.4% · σ=8.2%
-14.1%
1
-9.4%
6
-4.7%
16
0.1%
33
4.8%
75
9.5%
74
14.2%
72
18.9%
49
23.6%
20
28.4%
3
33.1%
3
37.8%
0
10th25th Median 75th90th 95th99th
2.6% 6.6% 11.8% 17.9% 22.4% 25.5% 32.9%
oAVG n=353 · μ=0.446 · σ=0.092
0.140
2
0.185
0
0.230
5
0.275
20
0.321
45
0.366
59
0.411
60
0.456
64
0.501
46
0.546
27
0.591
19
0.636
6
10th25th Median 75th90th 95th99th
0.334 0.379 0.446 0.508 0.569 0.603 0.667
WAR n=353 · μ=0.40 · σ=0.615
-0.58
29
-0.22
110
0.14
106
0.50
44
0.86
31
1.22
17
1.58
6
1.94
6
2.30
1
2.66
1
3.02
0
3.38
2
10th25th Median 75th90th 95th99th
-0.20 0.02 0.26 0.63 1.16 1.53 2.27
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 wERA. K-BB% is plain (K - BB) / BF.
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