Distributions

League-wide player histograms · 688 games played · 505 qualifying batters (38+ PA) · 350 qualifying pitchers (38+ outs)
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Batting distributions

PAVG n=505 · μ=0.401 · σ=0.142
0.057
2
0.115
14
0.174
43
0.233
80
0.292
66
0.351
66
0.410
57
0.469
63
0.528
58
0.587
31
0.645
24
0.704
1
10th25th Median 75th90th 95th99th
0.222 0.282 0.395 0.513 0.600 0.640 0.675
OPS n=505 · μ=1.192 · σ=0.438
0.296
8
0.462
36
0.628
72
0.795
63
0.961
67
1.127
57
1.293
47
1.459
52
1.625
43
1.791
40
1.957
17
2.123
3
10th25th Median 75th90th 95th99th
0.659 0.812 1.153 1.562 1.824 1.921 2.079
OPS+ n=505 · μ=100 · σ=36.867
25
8
39
35
53
70
66
65
80
62
94
57
107
50
121
46
135
44
148
42
162
22
176
4
10th25th Median 75th90th 95th99th
55 69 97 131 154 162 173
wOBA n=505 · μ=0.533 · σ=0.211
0.135
18
0.216
50
0.298
87
0.379
62
0.461
63
0.543
56
0.624
47
0.706
42
0.787
41
0.869
30
0.950
7
1.032
1
10th25th Median 75th90th 95th99th
0.281 0.352 0.502 0.703 0.840 0.894 0.979
BAVG n=505 · μ=0.463 · σ=0.169
0.068
3
0.138
18
0.207
47
0.276
94
0.345
55
0.415
61
0.484
63
0.553
62
0.623
47
0.692
38
0.761
13
0.831
3
10th25th Median 75th90th 95th99th
0.250 0.321 0.455 0.596 0.701 0.743 0.802
ISO n=505 · μ=0.261 · σ=0.165
0.000
46
0.065
82
0.129
84
0.194
76
0.259
53
0.323
42
0.388
42
0.453
40
0.518
20
0.582
11
0.647
7
0.712
2
10th25th Median 75th90th 95th99th
0.070 0.126 0.231 0.381 0.492 0.573 0.673
BABIP n=505 · μ=0.593 · σ=0.161
0.125
1
0.206
10
0.287
36
0.368
54
0.449
81
0.530
88
0.611
90
0.692
74
0.773
47
0.854
15
0.935
7
1.016
2
10th25th Median 75th90th 95th99th
0.377 0.477 0.596 0.710 0.795 0.849 0.972
K% n=505 · μ=23.0% · σ=10.6%
3.3%
26
7.9%
64
12.6%
78
17.3%
86
21.9%
74
26.6%
71
31.2%
34
35.9%
37
40.5%
22
45.2%
7
49.9%
3
54.5%
3
10th25th Median 75th90th 95th99th
10.0% 14.8% 21.7% 29.7% 37.7% 42.1% 49.9%
BB% n=505 · μ=11.0% · σ=4.2%
1.3%
15
3.4%
34
5.5%
61
7.6%
85
9.7%
111
11.8%
80
13.9%
58
16.0%
35
18.1%
13
20.1%
9
22.2%
2
24.3%
2
10th25th Median 75th90th 95th99th
5.9% 8.0% 10.6% 13.7% 16.7% 18.1% 22.0%
2C-RBI% n=505 · μ=18.0% · σ=13.0%
0.0%
82
5.6%
74
11.1%
98
16.7%
84
22.2%
69
27.8%
29
33.3%
30
38.9%
14
44.4%
9
50.0%
12
55.6%
3
61.1%
1
10th25th Median 75th90th 95th99th
0.0% 9.1% 16.2% 25.0% 35.1% 44.0% 54.5%
2C-Conv% n=505 · μ=62.9% · σ=29.7%
0.0%
35
8.3%
7
16.7%
16
25.0%
30
33.3%
35
41.7%
31
50.0%
46
58.3%
30
66.7%
43
75.0%
59
83.3%
78
91.7%
95
10th25th Median 75th90th 95th99th
20.0% 42.3% 66.7% 87.5% 100.0% 100.0% 100.0%
MhAB% n=505 · μ=2.9% · σ=2.9%
0.0%
170
1.2%
93
2.3%
86
3.5%
38
4.7%
34
5.8%
23
7.0%
30
8.1%
16
9.3%
5
10.5%
3
11.6%
2
12.8%
5
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.2% 4.5% 7.2% 8.6% 12.0%
RISP-AVG n=505 · μ=0.424 · σ=0.181
0.029
7
0.107
38
0.185
61
0.263
77
0.342
82
0.420
69
0.498
58
0.576
54
0.655
35
0.733
10
0.811
12
0.889
2
10th25th Median 75th90th 95th99th
0.200 0.286 0.406 0.550 0.677 0.727 0.869
RISP-OPS n=505 · μ=1.250 · σ=0.519
0.257
19
0.459
47
0.661
70
0.863
76
1.064
67
1.266
58
1.468
41
1.670
59
1.871
33
2.073
19
2.275
11
2.477
5
10th25th Median 75th90th 95th99th
0.604 0.829 1.194 1.671 2.000 2.124 2.440
RISP-Conv n=505 · μ=0.49 · σ=0.233
0.06
16
0.16
85
0.27
86
0.37
99
0.48
63
0.58
47
0.69
53
0.80
27
0.90
16
1.01
10
1.11
2
1.22
1
10th25th Median 75th90th 95th99th
0.23 0.30 0.44 0.65 0.81 0.91 1.06
WAR n=505 · μ=0.22 · σ=0.733
-1.30
6
-0.99
26
-0.69
76
-0.38
106
-0.07
93
0.24
52
0.55
47
0.86
33
1.17
27
1.48
19
1.79
15
2.10
5
10th25th Median 75th90th 95th99th
-0.56 -0.33 0.06 0.67 1.34 1.66 2.06

Pitching distributions

wERA n=350 · μ=10.29 · σ=3.812
2.60
10
4.32
32
6.04
48
7.76
67
9.47
68
11.19
41
12.91
41
14.63
15
16.35
13
18.06
11
19.78
3
21.50
1
10th25th Median 75th90th 95th99th
5.70 7.63 9.88 12.68 15.44 17.70 20.36
Highlighted player: 10.89 · approximate percentile: 50–75th
xRA n=350 · μ=10.31 · σ=3.163
3.47
4
4.91
26
6.36
50
7.81
72
9.26
56
10.70
49
12.15
41
13.60
26
15.05
9
16.49
11
17.94
2
19.39
4
10th25th Median 75th90th 95th99th
6.61 8.03 9.80 12.29 14.73 16.46 19.00
Highlighted player: 9.00 · approximate percentile: 25–50th
Decay n=275 · μ=+2.3 · σ=17.954
-75.3
2
-61.1
0
-46.9
5
-32.7
22
-18.5
63
-4.3
94
+10.0
62
+24.2
26
+38.4
0
+52.6
0
+66.8
0
+81.0
1
10th25th Median 75th90th 95th99th
-18.7 -7.7 +2.0 +12.8 +22.9 +31.5 +36.6
Highlighted player: +20.9 · approximate percentile: 75–90th
GSc avg n=350 · μ=49.6 · σ=5.062
33.1
2
35.9
8
38.7
15
41.5
23
44.3
52
47.1
80
49.9
72
52.7
53
55.5
37
58.2
3
61.0
4
63.8
1
10th25th Median 75th90th 95th99th
43.0 46.6 49.8 53.1 56.0 56.9 61.4
Highlighted player: 52.0 · approximate percentile: 50–75th
GSc+ n=350 · μ=101 · σ=10.248
68
2
73
8
79
16
84
22
90
54
95
69
101
78
107
53
112
40
118
3
123
3
129
2
10th25th Median 75th90th 95th99th
87 94 101 108 114 115 124
Highlighted player: 105 · approximate percentile: 50–75th
FOP n=350 · μ=52 · σ=9.112
23
1
27
0
31
13
35
24
39
34
43
41
47
53
51
59
55
54
59
35
64
25
68
11
10th25th Median 75th90th 95th99th
39 45 52 58 64 66 70
Highlighted player: 51 · approximate percentile: 25–50th
OS+ n=350 · μ=120 · σ=55.887
44
54
70
91
95
73
121
50
147
31
172
13
198
14
224
8
249
9
275
5
300
1
326
1
10th25th Median 75th90th 95th99th
64 80 105 144 206 244 291
Highlighted player: 95 · approximate percentile: 25–50th
GE n=350 · μ=2.8 · σ=1.392
1.4
139
2.2
94
2.9
48
3.7
28
4.5
20
5.2
9
6.0
4
6.7
3
7.5
3
8.3
0
9.0
1
9.8
1
10th25th Median 75th90th 95th99th
1.5 1.8 2.4 3.3 4.6 5.5 7.8
Highlighted player: 1.8 · approximate percentile: 10–25th
K% n=350 · μ=30.2% · σ=6.9%
10.3%
2
13.8%
6
17.4%
17
20.9%
49
24.4%
71
28.0%
65
31.5%
56
35.1%
43
38.6%
21
42.1%
15
45.7%
4
49.2%
1
10th25th Median 75th90th 95th99th
22.2% 25.0% 29.5% 34.9% 40.0% 42.7% 46.2%
Highlighted player: 33.8% · approximate percentile: 50–75th
BB% n=350 · μ=11.1% · σ=3.7%
2.4%
2
4.3%
20
6.1%
54
8.0%
64
9.8%
68
11.7%
54
13.5%
46
15.4%
18
17.2%
13
19.1%
8
20.9%
1
22.8%
2
10th25th Median 75th90th 95th99th
6.5% 8.3% 10.7% 13.6% 16.0% 17.8% 20.2%
Highlighted player: 14.7% · approximate percentile: 75–90th
HR% n=350 · μ=3.7% · σ=2.5%
0.0%
55
1.1%
65
2.3%
58
3.4%
53
4.6%
53
5.7%
24
6.9%
20
8.0%
14
9.2%
4
10.3%
2
11.5%
1
12.6%
1
10th25th Median 75th90th 95th99th
0.8% 1.8% 3.3% 5.2% 7.2% 8.3% 10.4%
Highlighted player: 2.9% · approximate percentile: 25–50th
K-BB% n=350 · μ=12.4% · σ=7.8%
-7.5%
5
-4.1%
9
-0.7%
17
2.7%
50
6.1%
50
9.5%
55
12.9%
63
16.3%
35
19.7%
43
23.1%
7
26.5%
9
29.9%
7
10th25th Median 75th90th 95th99th
3.0% 6.7% 12.2% 17.5% 22.2% 24.7% 32.2%
Highlighted player: 8.8% · approximate percentile: 25–50th
oAVG n=350 · μ=0.446 · σ=0.088
0.179
3
0.222
1
0.265
16
0.308
27
0.351
55
0.394
62
0.437
67
0.479
50
0.522
33
0.565
25
0.608
6
0.651
5
10th25th Median 75th90th 95th99th
0.329 0.386 0.443 0.506 0.566 0.594 0.659
Highlighted player: 0.418 · approximate percentile: 25–50th
WAR n=350 · μ=0.46 · σ=0.719
-0.84
23
-0.36
91
0.12
124
0.60
60
1.08
27
1.56
12
2.04
6
2.51
5
2.99
0
3.47
1
3.95
0
4.43
1
10th25th Median 75th90th 95th99th
-0.25 0.01 0.33 0.72 1.29 1.96 2.80
Highlighted player: 0.16 · approximate percentile: 25–50th
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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