Distributions

League-wide player histograms · 638 games played · 506 qualifying batters (35+ PA) · 350 qualifying pitchers (35+ outs)
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Batting distributions

PAVG n=506 · μ=0.402 · σ=0.142
0.057
4
0.115
12
0.174
46
0.233
81
0.292
57
0.351
66
0.410
62
0.469
72
0.528
46
0.587
38
0.645
20
0.704
2
10th25th Median 75th90th 95th99th
0.217 0.281 0.397 0.510 0.600 0.640 0.672
OPS n=506 · μ=1.193 · σ=0.438
0.308
10
0.467
36
0.625
63
0.784
65
0.943
61
1.102
49
1.261
65
1.420
44
1.579
37
1.738
43
1.897
26
2.055
7
10th25th Median 75th90th 95th99th
0.665 0.810 1.157 1.549 1.830 1.921 2.078
OPS+ n=506 · μ=101 · σ=36.928
26
10
39
36
52
61
66
69
79
56
92
52
105
60
118
41
131
37
145
45
158
30
171
9
10th25th Median 75th90th 95th99th
56 69 98 130 155 163 173
wOBA n=506 · μ=0.534 · σ=0.210
0.140
19
0.217
40
0.295
87
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
0.285 0.353 0.509 0.698 0.836 0.902 0.980
BAVG n=506 · μ=0.464 · σ=0.169
0.068
5
0.140
18
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
0.246 0.317 0.463 0.594 0.696 0.747 0.800
ISO n=506 · μ=0.262 · σ=0.165
0.000
46
0.064
75
0.127
86
0.191
77
0.255
55
0.318
39
0.382
44
0.445
40
0.509
19
0.573
12
0.636
10
0.700
3
10th25th Median 75th90th 95th99th
0.069 0.133 0.227 0.383 0.495 0.565 0.677
BABIP n=506 · μ=0.592 · σ=0.165
0.125
2
0.210
10
0.295
45
0.379
68
0.464
73
0.549
95
0.634
94
0.719
73
0.804
30
0.888
12
0.973
2
1.058
2
10th25th Median 75th90th 95th99th
0.373 0.469 0.594 0.708 0.800 0.849 0.967
K% n=506 · μ=22.9% · σ=10.6%
3.6%
30
8.2%
67
12.8%
82
17.4%
79
22.0%
72
26.6%
75
31.2%
31
35.8%
36
40.3%
17
44.9%
11
49.5%
2
54.1%
4
10th25th Median 75th90th 95th99th
10.3% 14.8% 21.7% 29.3% 38.1% 41.9% 50.8%
BB% n=506 · μ=10.9% · σ=4.3%
1.4%
15
3.5%
40
5.5%
57
7.5%
81
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% 7.9% 10.6% 13.3% 16.7% 18.2% 22.2%
2C-RBI% n=506 · μ=18.1% · σ=13.5%
0.0%
84
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% 16.4% 25.9% 36.4% 45.3% 54.5%
2C-Conv% n=506 · μ=63.8% · σ=29.8%
0.0%
35
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=506 · μ=2.8% · σ=2.9%
0.0%
180
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=506 · μ=0.425 · σ=0.183
0.030
8
0.108
38
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 0.283 0.410 0.550 0.677 0.733 0.879
RISP-OPS n=506 · μ=1.251 · σ=0.524
0.273
27
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
0.613 0.828 1.198 1.646 2.000 2.145 2.450
RISP-Conv n=506 · μ=0.49 · σ=0.236
0.06
25
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 0.30 0.45 0.65 0.82 0.94 1.08
WAR n=506 · μ=0.20 · σ=0.673
-1.15
8
-0.85
39
-0.56
96
-0.27
93
0.02
89
0.32
54
0.61
45
0.90
29
1.20
21
1.49
19
1.78
11
2.07
1
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: 7.93 · approximate percentile: 25–50th
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: 8.02 · approximate percentile: 25–50th
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: -2.4 · approximate percentile: 25–50th
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: 47.5 · approximate percentile: 25–50th
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: 95 · approximate percentile: 25–50th
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: 62 · approximate percentile: 75–90th
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: 190 · approximate percentile: 75–90th
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: 3.1 · 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: 30.6% · approximate percentile: 50–75th
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: 8.1% · 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: 0.9% · approximate percentile: 10–25th
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: 15.3% · approximate percentile: 50–75th
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: 0.480 · approximate percentile: 50–75th
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: 0.71 · 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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