Distributions

League-wide player histograms · 703 games played · 504 qualifying batters (39+ PA) · 350 qualifying pitchers (39+ outs)
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Marking Kotkan Medel BAL on every histogram below. Compare ↗

Batting distributions

PAVG n=504 · μ=0.401 · σ=0.141
0.054
2
0.107
10
0.161
36
0.215
55
0.268
71
0.322
52
0.376
70
0.429
42
0.483
61
0.537
48
0.590
35
0.644
22
10th25th Median 75th90th 95th99th
0.220 0.282 0.397 0.515 0.595 0.637 0.669
OPS n=504 · μ=1.194 · σ=0.438
0.296
10
0.462
33
0.628
72
0.795
62
0.961
68
1.127
53
1.293
52
1.459
45
1.625
48
1.791
42
1.957
16
2.123
3
10th25th Median 75th90th 95th99th
0.651 0.814 1.153 1.556 1.813 1.914 2.040
OPS+ n=504 · μ=101 · σ=36.907
25
10
39
33
53
68
66
63
80
66
94
55
108
53
121
41
135
47
149
44
162
22
176
2
10th25th Median 75th90th 95th99th
55 69 97 131 154 161 173
wOBA n=504 · μ=0.535 · σ=0.212
0.134
20
0.216
48
0.298
82
0.380
63
0.462
63
0.544
58
0.626
48
0.708
42
0.790
46
0.872
27
0.954
5
1.036
1
10th25th Median 75th90th 95th99th
0.278 0.355 0.503 0.702 0.838 0.897 0.961
BAVG n=504 · μ=0.463 · σ=0.168
0.065
2
0.135
18
0.204
45
0.274
91
0.343
58
0.413
58
0.483
62
0.552
67
0.622
50
0.691
38
0.761
13
0.830
2
10th25th Median 75th90th 95th99th
0.246 0.321 0.460 0.598 0.696 0.735 0.787
ISO n=504 · μ=0.263 · σ=0.164
0.000
45
0.065
78
0.129
85
0.194
77
0.259
52
0.323
41
0.388
48
0.453
38
0.518
20
0.582
11
0.647
7
0.712
2
10th25th Median 75th90th 95th99th
0.070 0.132 0.230 0.388 0.493 0.566 0.650
BABIP n=504 · μ=0.592 · σ=0.161
0.111
1
0.193
7
0.275
33
0.358
55
0.440
81
0.522
81
0.604
92
0.686
85
0.768
46
0.850
14
0.932
7
1.015
2
10th25th Median 75th90th 95th99th
0.375 0.473 0.599 0.709 0.789 0.839 0.972
K% n=504 · μ=22.9% · σ=10.5%
3.2%
27
7.8%
61
12.5%
81
17.2%
84
21.8%
71
26.5%
73
31.2%
38
35.8%
33
40.5%
24
45.2%
6
49.8%
3
54.5%
3
10th25th Median 75th90th 95th99th
10.1% 14.6% 21.8% 29.4% 37.9% 42.3% 49.9%
BB% n=504 · μ=11.0% · σ=4.2%
1.3%
16
3.4%
29
5.5%
67
7.6%
86
9.6%
101
11.7%
86
13.8%
60
15.9%
35
18.0%
13
20.1%
8
22.2%
1
24.3%
2
10th25th Median 75th90th 95th99th
5.9% 7.9% 10.8% 13.7% 16.4% 17.9% 21.3%
2C-RBI% n=504 · μ=18.0% · σ=12.7%
0.0%
77
5.6%
78
11.1%
97
16.7%
85
22.2%
69
27.8%
30
33.3%
32
38.9%
13
44.4%
8
50.0%
12
55.6%
2
61.1%
1
10th25th Median 75th90th 95th99th
0.0% 9.3% 16.4% 25.4% 34.8% 42.9% 53.3%
2C-Conv% n=504 · μ=63.0% · σ=29.5%
0.0%
33
8.3%
7
16.7%
18
25.0%
29
33.3%
36
41.7%
29
50.0%
47
58.3%
30
66.7%
47
75.0%
56
83.3%
76
91.7%
96
10th25th Median 75th90th 95th99th
20.0% 42.0% 66.7% 87.5% 100.0% 100.0% 100.0%
MhAB% n=504 · μ=2.9% · σ=2.9%
0.0%
168
1.2%
96
2.3%
80
3.5%
42
4.7%
34
5.8%
27
7.0%
28
8.1%
13
9.3%
7
10.5%
3
11.6%
2
12.8%
4
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.2% 4.4% 7.1% 8.3% 11.7%
RISP-AVG n=504 · μ=0.424 · σ=0.179
0.029
7
0.104
36
0.180
53
0.256
76
0.332
78
0.408
77
0.484
53
0.560
52
0.636
44
0.712
17
0.788
6
0.863
4
10th25th Median 75th90th 95th99th
0.196 0.286 0.410 0.556 0.667 0.718 0.863
RISP-OPS n=504 · μ=1.251 · σ=0.518
0.257
21
0.466
46
0.674
76
0.883
76
1.091
70
1.299
55
1.508
46
1.716
55
1.925
35
2.133
15
2.342
6
2.550
3
10th25th Median 75th90th 95th99th
0.606 0.833 1.193 1.669 1.958 2.124 2.439
RISP-Conv n=504 · μ=0.49 · σ=0.232
0.06
21
0.17
98
0.29
93
0.41
94
0.52
66
0.64
52
0.75
47
0.87
18
0.99
12
1.10
2
1.22
0
1.33
1
10th25th Median 75th90th 95th99th
0.22 0.30 0.44 0.65 0.82 0.90 1.06
WAR n=504 · μ=0.23 · σ=0.751
-1.26
9
-0.95
32
-0.64
89
-0.33
96
-0.02
89
0.29
44
0.60
50
0.91
32
1.22
24
1.53
22
1.84
11
2.14
6
10th25th Median 75th90th 95th99th
-0.59 -0.34 0.06 0.68 1.36 1.71 2.15

Pitching distributions

wERA n=350 · μ=10.27 · σ=3.760
2.60
10
4.32
31
6.04
53
7.76
●
62
9.47
71
11.19
41
12.91
39
14.63
15
16.35
14
18.06
11
19.78
2
21.50
1
10th25th Median 75th90th 95th99th
5.83 7.56 9.90 12.64 15.44 17.65 19.64
Highlighted player: 8.31 · approximate percentile: 25–50th
xRA n=350 · μ=10.28 · σ=3.130
3.47
5
4.92
25
6.37
52
7.82
70
9.28
●
56
10.73
52
12.18
35
13.63
32
15.08
8
16.53
11
17.98
1
19.43
3
10th25th Median 75th90th 95th99th
6.54 7.99 9.79 12.30 14.59 16.09 17.92
Highlighted player: 10.31 · approximate percentile: 50–75th
Decay n=277 · μ=+2.5 · σ=17.589
-75.3
2
-61.1
0
-46.9
3
-32.6
21
-18.4
66
-4.2
97
+10.0
61
+24.2
26
+38.4
0
+52.6
0
+66.9
0
+81.1
●
0
10th25th Median 75th90th 95th99th
-18.3 -8.2 +2.4 +12.8 +22.6 +30.1 +36.7
Highlighted player: +999.9 · approximate percentile: ≥ 99th
GSc avg n=350 · μ=49.7 · σ=5.039
33.2
2
35.9
8
38.7
14
41.5
26
44.3
52
47.1
73
49.9
●
78
52.7
54
55.5
34
58.2
4
61.0
4
63.8
1
10th25th Median 75th90th 95th99th
43.0 46.7 49.9 53.1 56.1 56.9 61.4
Highlighted player: 52.1 · approximate percentile: 50–75th
GSc+ n=350 · μ=101 · σ=10.192
68
2
73
8
79
15
84
25
90
51
95
64
101
●
84
107
55
112
39
118
2
123
3
129
2
10th25th Median 75th90th 95th99th
87 95 102 108 114 116 124
Highlighted player: 106 · approximate percentile: 50–75th
FOP n=350 · μ=52 · σ=9.034
23
1
27
0
32
18
36
27
41
44
45
56
50
60
54
62
59
44
63
26
68
●
11
72
1
10th25th Median 75th90th 95th99th
39 45 52 58 64 66 70
Highlighted player: 70 · approximate percentile: ≥ 99th
OS+ n=350 · μ=119 · σ=55.380
44
54
70
●
93
95
77
121
47
147
29
172
11
198
17
224
7
249
7
275
6
301
1
326
1
10th25th Median 75th90th 95th99th
64 80 103 142 206 242 291
Highlighted player: 95 · approximate percentile: 25–50th
GE n=350 · μ=2.9 · σ=1.406
1.4
●
136
2.2
97
3.0
45
3.7
30
4.5
19
5.2
10
6.0
3
6.8
4
7.5
4
8.3
0
9.0
1
9.8
1
10th25th Median 75th90th 95th99th
1.6 1.9 2.4 3.4 4.7 5.5 7.8
Highlighted player: 1.8 · approximate percentile: 10–25th
K% n=350 · μ=30.1% · σ=7.0%
10.3%
2
13.8%
6
17.4%
19
20.9%
50
24.4%
69
28.0%
●
66
31.5%
55
35.1%
40
38.6%
23
42.1%
15
45.7%
3
49.2%
2
10th25th Median 75th90th 95th99th
21.9% 25.0% 29.5% 34.8% 40.0% 42.8% 46.2%
Highlighted player: 28.9% · approximate percentile: 25–50th
BB% n=350 · μ=11.0% · σ=3.6%
3.8%
●
13
5.5%
45
7.2%
49
9.0%
68
10.7%
62
12.5%
46
14.2%
35
15.9%
13
17.7%
12
19.4%
4
21.1%
1
22.9%
2
10th25th Median 75th90th 95th99th
6.5% 8.4% 10.7% 13.4% 15.5% 17.7% 20.4%
Highlighted player: 5.3% · approximate percentile: ≤ 10th
HR% n=350 · μ=3.7% · σ=2.4%
0.0%
●
54
1.1%
63
2.3%
64
3.4%
52
4.6%
49
5.7%
29
6.9%
22
8.0%
11
9.2%
3
10.3%
1
11.5%
1
12.6%
1
10th25th Median 75th90th 95th99th
0.8% 1.8% 3.3% 5.2% 7.1% 7.9% 9.9%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
K-BB% n=350 · μ=12.4% · σ=7.8%
-7.5%
5
-3.5%
13
0.6%
43
4.7%
58
8.7%
69
12.8%
●
63
16.9%
45
20.9%
38
25.0%
8
29.1%
6
33.2%
1
37.2%
1
10th25th Median 75th90th 95th99th
2.9% 6.7% 12.1% 17.9% 22.2% 24.5% 32.7%
Highlighted player: 14.5% · approximate percentile: 50–75th
oAVG n=350 · μ=0.444 · σ=0.087
0.179
3
0.222
1
0.265
16
0.308
28
0.351
55
0.394
63
0.437
●
68
0.479
50
0.522
31
0.565
27
0.608
4
0.651
4
10th25th Median 75th90th 95th99th
0.330 0.385 0.443 0.500 0.565 0.590 0.642
Highlighted player: 0.444 · approximate percentile: 50–75th
WAR n=350 · μ=0.48 · σ=0.725
-0.84
25
-0.36
86
0.12
●
124
0.60
61
1.08
29
1.56
12
2.04
6
2.52
5
3.00
0
3.48
1
3.96
0
4.44
1
10th25th Median 75th90th 95th99th
-0.26 0.01 0.33 0.74 1.31 1.95 2.85
Highlighted player: 0.39 · approximate percentile: 50–75th
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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