Distributions

League-wide player histograms · 638 games played · 505 qualifying batters (35+ PA) · 350 qualifying pitchers (35+ outs)
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Marking Wen Tianyi COL on every histogram below. Compare ↗

Batting distributions

PAVG n=505 · μ=0.403 · σ=0.142
0.057
4
0.115
11
0.174
46
0.233
80
0.292
58
0.351
66
0.410
61
0.469
73
0.528
46
0.587
38
0.645
20
0.704
2
10th25th Median 75th90th 95th99th
0.218 0.282 0.398 0.511 0.600 0.640 0.672
OPS n=505 · μ=1.196 · σ=0.436
0.308
9
0.467
35
0.625
64
0.784
64
0.943
61
1.102
50
1.261
65
1.420
44
1.579
37
1.738
43
1.897
26
2.055
7
10th25th Median 75th90th 95th99th
0.668 0.811 1.158 1.549 1.830 1.921 2.078
OPS+ n=505 · μ=101 · σ=36.760
26
9
39
35
52
60
66
70
79
57
92
51
105
61
118
42
131
36
144
44
158
31
171
8
10th25th Median 75th90th 95th99th
56 69 98 130 155 163 173
wOBA n=505 · μ=0.535 · σ=0.209
0.140
18
0.217
39
0.295
88
0.372
60
0.449
63
0.527
51
0.604
49
0.682
42
0.759
44
0.836
32
0.914
16
0.991
3
10th25th Median 75th90th 95th99th
0.286 0.353 0.512 0.700 0.838 0.902 0.980
BAVG n=505 · μ=0.464 · σ=0.168
0.068
5
0.140
17
0.212
52
0.283
93
0.355
53
0.427
69
0.498
68
0.570
64
0.642
47
0.713
29
0.785
5
0.857
3
10th25th Median 75th90th 95th99th
0.248 0.317 0.463 0.594 0.696 0.747 0.800
ISO n=505 · μ=0.263 · σ=0.165
0.000
45
0.064
74
0.127
86
0.191
77
0.255
55
0.318
40
0.382
44
0.445
40
0.509
19
0.573
12
0.636
10
0.700
3
10th25th Median 75th90th 95th99th
0.069 0.134 0.229 0.383 0.496 0.565 0.677
BABIP n=505 · μ=0.594 · σ=0.164
0.125
2
0.210
10
0.295
44
0.379
65
0.464
73
0.549
97
0.634
95
0.719
73
0.804
30
0.888
12
0.973
2
1.058
2
10th25th Median 75th90th 95th99th
0.375 0.471 0.595 0.708 0.800 0.849 0.967
K% n=505 · μ=22.8% · σ=10.6%
3.6%
30
8.2%
67
12.8%
82
17.4%
78
22.0%
73
26.6%
75
31.2%
30
35.8%
37
40.3%
16
44.9%
11
49.5%
2
54.1%
4
10th25th Median 75th90th 95th99th
10.3% 14.8% 21.7% 29.3% 38.0% 41.6% 50.9%
BB% n=505 · μ=10.9% · σ=4.3%
1.4%
14
3.5%
39
5.5%
57
7.5%
82
9.5%
97
11.5%
102
13.5%
44
15.6%
36
17.6%
18
19.6%
7
21.6%
6
23.6%
3
10th25th Median 75th90th 95th99th
5.4% 8.0% 10.6% 13.3% 16.7% 18.3% 22.2%
2C-RBI% n=505 · μ=18.2% · σ=13.5%
0.0%
83
5.6%
72
11.1%
97
16.7%
85
22.2%
61
27.8%
33
33.3%
31
38.9%
15
44.4%
7
50.0%
17
55.6%
2
61.1%
2
10th25th Median 75th90th 95th99th
0.0% 8.3% 16.7% 25.9% 36.4% 45.3% 54.5%
2C-Conv% n=505 · μ=63.9% · σ=29.7%
0.0%
34
8.3%
6
16.7%
17
25.0%
31
33.3%
33
41.7%
21
50.0%
49
58.3%
32
66.7%
41
75.0%
64
83.3%
76
91.7%
101
10th25th Median 75th90th 95th99th
20.0% 42.9% 71.4% 88.9% 100.0% 100.0% 100.0%
MhAB% n=505 · μ=2.8% · σ=2.9%
0.0%
179
1.2%
94
2.5%
83
3.7%
43
4.9%
30
6.1%
31
7.4%
21
8.6%
10
9.8%
6
11.0%
3
12.3%
3
13.5%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.3% 4.4% 7.2% 8.5% 12.2%
RISP-AVG n=505 · μ=0.425 · σ=0.183
0.030
8
0.108
37
0.187
61
0.265
74
0.343
88
0.421
64
0.499
61
0.577
51
0.655
35
0.733
12
0.812
9
0.890
5
10th25th Median 75th90th 95th99th
0.200 0.286 0.410 0.550 0.677 0.733 0.880
RISP-OPS n=505 · μ=1.253 · σ=0.523
0.273
26
0.492
52
0.712
86
0.932
67
1.152
81
1.371
53
1.591
53
1.811
44
2.030
27
2.250
11
2.470
4
2.689
1
10th25th Median 75th90th 95th99th
0.615 0.829 1.200 1.647 2.000 2.145 2.450
RISP-Conv n=505 · μ=0.49 · σ=0.235
0.06
24
0.18
101
0.30
97
0.42
103
0.54
63
0.66
51
0.78
33
0.90
23
1.02
8
1.14
1
1.26
0
1.38
1
10th25th Median 75th90th 95th99th
0.22 0.31 0.45 0.65 0.82 0.94 1.08
WAR n=505 · μ=0.20 · σ=0.672
-1.15
7
-0.86
38
-0.56
97
-0.27
92
0.02
90
0.31
54
0.61
45
0.90
29
1.19
21
1.49
19
1.78
11
2.07
2
10th25th Median 75th90th 95th99th
-0.52 -0.31 0.06 0.61 1.22 1.51 1.96

Pitching distributions

wERA n=350 · μ=10.25 · σ=3.791
2.61
16
4.59
41
6.56
75
8.53
65
10.50
60
12.47
43
14.44
27
16.42
11
18.39
9
20.36
2
22.33
0
24.30
1
10th25th Median 75th90th 95th99th
5.64 7.50 9.93 12.84 15.23 16.83 19.19
Highlighted player: 11.60 · approximate percentile: 50–75th
xRA n=350 · μ=10.29 · σ=3.256
3.55
6
5.07
35
6.58
60
8.10
68
9.62
56
11.14
43
12.65
37
14.17
22
15.69
12
17.20
8
18.72
1
20.24
2
10th25th Median 75th90th 95th99th
6.48 7.80 9.82 12.43 14.80 16.15 18.24
Highlighted player: 12.89 · approximate percentile: 75–90th
Decay n=271 · μ=+2.2 · σ=18.270
-75.9
2
-65.3
0
-54.6
0
-44.0
5
-33.3
9
-22.7
40
-12.1
57
-1.4
60
+9.2
53
+19.9
25
+30.5
18
+41.2
2
10th25th Median 75th90th 95th99th
-19.1 -8.2 +2.3 +12.9 +24.8 +32.8 +38.8
Highlighted player: +5.9 · approximate percentile: 50–75th
GSc avg n=350 · μ=49.7 · σ=5.171
33.8
3
36.4
8
38.9
13
41.5
27
44.1
33
46.7
77
49.3
71
51.9
59
54.5
37
57.1
14
59.7
5
62.3
3
10th25th Median 75th90th 95th99th
42.9 46.8 49.8 53.2 56.3 57.5 61.2
Highlighted player: 50.3 · approximate percentile: 50–75th
GSc+ n=350 · μ=101 · σ=10.418
69
3
74
10
79
12
84
26
89
37
95
67
100
63
105
68
110
35
115
21
120
5
125
3
10th25th Median 75th90th 95th99th
87 94 101 107 113 116 123
Highlighted player: 101 · approximate percentile: 50–75th
FOP n=350 · μ=52 · σ=9.464
21
1
26
2
30
13
35
28
39
34
44
48
49
58
53
70
58
49
62
29
67
14
71
4
10th25th Median 75th90th 95th99th
39 45 52 59 64 67 71
Highlighted player: 48 · approximate percentile: 25–50th
OS+ n=350 · μ=120 · σ=56.062
43
52
69
88
94
70
120
57
145
26
171
19
196
13
222
8
248
9
273
6
299
1
324
1
10th25th Median 75th90th 95th99th
64 79 104 141 204 245 287
Highlighted player: 63 · approximate percentile: ≤ 10th
GE n=350 · μ=2.6 · σ=1.319
1.3
142
2.0
89
2.7
44
3.4
26
4.0
23
4.7
11
5.4
6
6.1
3
6.8
3
7.5
1
8.2
1
8.9
1
10th25th Median 75th90th 95th99th
1.4 1.7 2.2 3.1 4.5 5.1 6.9
Highlighted player: 2.2 · approximate percentile: 50–75th
K% n=350 · μ=30.3% · σ=7.1%
10.3%
3
14.3%
8
18.2%
25
22.2%
66
26.2%
82
30.1%
64
34.1%
57
38.1%
23
42.0%
16
46.0%
5
50.0%
0
53.9%
1
10th25th Median 75th90th 95th99th
22.1% 25.0% 29.8% 35.1% 40.2% 43.1% 46.3%
Highlighted player: 25.5% · approximate percentile: 25–50th
BB% n=350 · μ=11.0% · σ=3.9%
2.4%
7
4.5%
39
6.7%
58
8.8%
87
11.0%
72
13.2%
37
15.3%
25
17.5%
18
19.7%
4
21.8%
0
24.0%
2
26.1%
1
10th25th Median 75th90th 95th99th
6.2% 8.1% 10.6% 13.1% 16.3% 17.8% 20.4%
Highlighted player: 7.4% · approximate percentile: 10–25th
HR% n=350 · μ=3.7% · σ=2.6%
0.0%
60
1.2%
75
2.5%
66
3.7%
49
4.9%
42
6.1%
23
7.4%
17
8.6%
9
9.8%
6
11.0%
1
12.3%
1
13.5%
1
10th25th Median 75th90th 95th99th
0.7% 1.8% 3.3% 5.2% 7.3% 8.6% 10.6%
Highlighted player: 4.3% · approximate percentile: 50–75th
K-BB% n=350 · μ=12.5% · σ=8.0%
-12.6%
1
-8.5%
5
-4.3%
8
-0.2%
29
4.0%
63
8.2%
75
12.3%
65
16.5%
50
20.6%
36
24.8%
11
29.0%
5
33.1%
2
10th25th Median 75th90th 95th99th
3.0% 6.4% 12.0% 17.9% 22.4% 24.8% 32.1%
Highlighted player: 9.6% · approximate percentile: 25–50th
oAVG n=350 · μ=0.446 · σ=0.091
0.140
2
0.185
1
0.230
4
0.275
19
0.320
38
0.365
67
0.410
67
0.455
61
0.500
40
0.545
25
0.590
16
0.635
10
10th25th Median 75th90th 95th99th
0.330 0.387 0.439 0.507 0.568 0.602 0.669
Highlighted player: 0.524 · approximate percentile: 75–90th
WAR n=350 · μ=0.43 · σ=0.669
-0.85
16
-0.41
78
0.02
125
0.45
68
0.88
33
1.32
12
1.75
11
2.18
2
2.61
3
3.04
0
3.48
1
3.91
1
10th25th Median 75th90th 95th99th
-0.20 -0.01 0.28 0.72 1.22 1.75 2.64
Highlighted player: 0.12 · 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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