Distributions

League-wide player histograms · 782 games played · 502 qualifying batters (43+ PA) · 356 qualifying pitchers (43+ outs)
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Marking Landon Armstead MIL on every histogram below. Compare ↗

Batting distributions

PAVG n=502 · μ=0.400 · σ=0.142
0.074
5
0.125
16
0.177
38
0.228
74
0.279
57
0.331
45
0.382
60
0.433
45
0.485
50
0.536
55
0.587
38
0.639
19
10th25th Median 75th90th 95th99th
0.223 0.276 0.393 0.526 0.594 0.632 0.667
OPS n=502 · μ=1.193 · σ=0.442
0.296
6
0.460
36
0.623
76
0.786
63
0.949
57
1.113
60
1.276
43
1.439
44
1.602
47
1.766
49
1.929
16
2.092
5
10th25th Median 75th90th 95th99th
0.646 0.796 1.154 1.570 1.815 1.917 2.063
OPS+ n=502 · μ=101 · σ=37.346
25
6
39
37
52
75
66
62
79
55
93
57
106
43
120
43
133
48
147
49
160
21
174
6
10th25th Median 75th90th 95th99th
55 68 98 133 155 161 174
wOBA n=502 · μ=0.534 · σ=0.212
0.135
18
0.214
43
0.293
85
0.372
62
0.451
62
0.531
51
0.610
41
0.689
46
0.768
50
0.847
32
0.926
9
1.005
3
10th25th Median 75th90th 95th99th
0.278 0.349 0.505 0.713 0.836 0.889 0.977
BAVG n=502 · μ=0.463 · σ=0.169
0.083
6
0.150
29
0.217
48
0.283
82
0.350
49
0.417
58
0.484
59
0.550
57
0.617
58
0.684
38
0.750
16
0.817
2
10th25th Median 75th90th 95th99th
0.248 0.314 0.459 0.606 0.696 0.732 0.780
ISO n=502 · μ=0.264 · σ=0.165
0.000
38
0.062
82
0.124
78
0.186
77
0.248
54
0.310
39
0.372
38
0.434
43
0.496
28
0.558
13
0.620
9
0.682
3
10th25th Median 75th90th 95th99th
0.073 0.129 0.224 0.394 0.500 0.557 0.650
BABIP n=502 · μ=0.590 · σ=0.159
0.207
8
0.281
33
0.355
47
0.429
68
0.504
75
0.578
91
0.652
70
0.726
65
0.800
28
0.874
10
0.948
6
1.023
1
10th25th Median 75th90th 95th99th
0.371 0.478 0.594 0.707 0.789 0.837 0.967
K% n=502 · μ=22.9% · σ=10.6%
3.7%
26
8.2%
72
12.7%
72
17.1%
84
21.6%
61
26.1%
69
30.6%
43
35.0%
34
39.5%
22
44.0%
15
48.5%
2
52.9%
1
10th25th Median 75th90th 95th99th
10.0% 14.1% 21.2% 29.5% 38.1% 42.4% 47.1%
BB% n=502 · μ=11.1% · σ=3.9%
1.3%
11
3.4%
24
5.6%
69
7.7%
93
9.9%
110
12.0%
93
14.2%
57
16.4%
27
18.5%
14
20.7%
0
22.8%
2
25.0%
2
10th25th Median 75th90th 95th99th
6.2% 8.5% 11.1% 13.6% 16.1% 17.4% 20.4%
2C-RBI% n=502 · μ=18.2% · σ=12.8%
0.0%
79
5.6%
80
11.1%
84
16.7%
87
22.2%
67
27.8%
38
33.3%
34
38.9%
11
44.4%
6
50.0%
11
55.6%
4
61.1%
1
10th25th Median 75th90th 95th99th
0.0% 9.1% 16.7% 25.7% 34.5% 42.8% 54.5%
2C-Conv% n=502 · μ=63.2% · σ=29.6%
0.0%
33
8.3%
8
16.7%
26
25.0%
19
33.3%
31
41.7%
31
50.0%
45
58.3%
35
66.7%
43
75.0%
58
83.3%
78
91.7%
95
10th25th Median 75th90th 95th99th
20.0% 43.9% 69.0% 87.5% 100.0% 100.0% 100.0%
MhAB% n=502 · μ=2.9% · σ=2.8%
0.0%
160
1.2%
99
2.3%
78
3.5%
48
4.7%
38
5.8%
24
7.0%
29
8.2%
12
9.3%
6
10.5%
2
11.7%
2
12.8%
4
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.3% 4.4% 7.1% 8.2% 12.1%
RISP-AVG n=502 · μ=0.420 · σ=0.179
0.028
8
0.102
36
0.176
54
0.251
74
0.325
72
0.400
73
0.474
51
0.548
59
0.623
42
0.697
21
0.771
7
0.846
5
10th25th Median 75th90th 95th99th
0.195 0.286 0.409 0.557 0.666 0.708 0.842
RISP-OPS n=502 · μ=1.245 · σ=0.519
0.257
24
0.469
50
0.681
75
0.893
75
1.105
70
1.317
50
1.529
52
1.740
53
1.952
35
2.164
12
2.376
5
2.588
1
10th25th Median 75th90th 95th99th
0.607 0.806 1.180 1.676 1.962 2.105 2.384
RISP-Conv n=502 · μ=0.49 · σ=0.234
0.06
25
0.17
97
0.29
89
0.40
94
0.52
59
0.63
48
0.74
54
0.86
22
0.97
11
1.09
2
1.20
0
1.31
1
10th25th Median 75th90th 95th99th
0.22 0.29 0.44 0.66 0.82 0.91 1.04
WAR n=502 · μ=0.25 · σ=0.832
-1.49
4
-1.15
24
-0.81
66
-0.48
101
-0.14
89
0.20
51
0.54
53
0.87
39
1.21
25
1.55
22
1.88
22
2.22
6
10th25th Median 75th90th 95th99th
-0.64 -0.38 0.06 0.79 1.53 1.90 2.24

Pitching distributions

wERA n=356 · μ=10.26 · σ=3.788
2.60
11
4.19
26
5.79
●
52
7.38
58
8.97
63
10.57
45
12.16
36
13.76
27
15.35
18
16.94
8
18.54
10
20.13
1
10th25th Median 75th90th 95th99th
5.64 7.39 9.76 12.66 15.46 17.45 19.92
Highlighted player: 7.14 · approximate percentile: 10–25th
xRA n=356 · μ=10.28 · σ=3.132
3.24
5
4.82
29
6.40
60
7.98
●
66
9.56
72
11.13
50
12.71
28
14.29
28
15.87
11
17.45
5
19.02
0
20.60
1
10th25th Median 75th90th 95th99th
6.56 7.93 9.81 12.08 14.78 15.78 18.10
Highlighted player: 8.45 · approximate percentile: 25–50th
Decay n=286 · μ=+2.4 · σ=17.026
-72.4
1
-58.4
1
-44.4
5
-30.5
28
-16.5
70
-2.6
●
99
+11.4
63
+25.4
17
+39.3
1
+53.3
0
+67.2
0
+81.2
0
10th25th Median 75th90th 95th99th
-18.4 -7.7 +2.6 +12.2 +21.8 +29.0 +36.7
Highlighted player: -0.1 · approximate percentile: 25–50th
GSc avg n=356 · μ=49.7 · σ=5.005
32.9
1
35.7
7
38.4
12
41.2
28
43.9
46
46.7
67
49.4
80
52.1
●
67
54.9
35
57.6
8
60.4
4
63.1
1
10th25th Median 75th90th 95th99th
42.9 46.5 50.0 53.1 55.8 56.9 61.0
Highlighted player: 53.7 · approximate percentile: 75–90th
GSc+ n=356 · μ=101 · σ=10.148
67
1
73
8
78
13
84
24
89
49
95
64
100
76
106
●
70
111
38
117
8
122
4
128
1
10th25th Median 75th90th 95th99th
87 94 102 108 114 115 123
Highlighted player: 109 · approximate percentile: 75–90th
FOP n=356 · μ=52 · σ=9.097
22
1
26
3
31
11
36
21
41
59
46
57
50
●
70
55
60
60
47
65
21
69
5
74
1
10th25th Median 75th90th 95th99th
41 45 52 58 63 66 70
Highlighted player: 54 · approximate percentile: 50–75th
OS+ n=356 · μ=119 · σ=54.837
46
55
70
●
86
94
66
118
61
142
33
166
13
190
16
215
8
239
8
263
6
287
1
311
3
10th25th Median 75th90th 95th99th
64 80 105 141 199 238 285
Highlighted player: 92 · approximate percentile: 25–50th
GE n=356 · μ=3.2 · σ=1.538
1.6
●
141
2.4
85
3.2
51
3.9
33
4.7
16
5.5
15
6.3
4
7.1
3
7.9
4
8.6
2
9.4
0
10.2
2
10th25th Median 75th90th 95th99th
1.7 2.0 2.7 3.8 5.1 6.0 8.6
Highlighted player: 2.3 · approximate percentile: 25–50th
K% n=356 · μ=30.3% · σ=7.1%
10.3%
3
14.3%
6
18.3%
34
22.2%
63
26.2%
●
72
30.2%
80
34.2%
50
38.1%
25
42.1%
19
46.1%
2
50.1%
1
54.0%
1
10th25th Median 75th90th 95th99th
21.6% 25.2% 30.2% 34.7% 40.0% 42.9% 45.9%
Highlighted player: 30.1% · approximate percentile: 25–50th
BB% n=356 · μ=11.1% · σ=3.4%
3.8%
12
5.6%
●
42
7.4%
58
9.2%
78
11.1%
65
12.9%
49
14.7%
26
16.5%
17
18.3%
7
20.2%
1
22.0%
0
23.8%
1
10th25th Median 75th90th 95th99th
6.8% 8.7% 10.8% 13.4% 15.7% 17.0% 19.7%
Highlighted player: 7.2% · approximate percentile: 10–25th
HR% n=356 · μ=3.7% · σ=2.4%
0.0%
55
1.3%
82
2.5%
●
65
3.8%
54
5.1%
48
6.4%
31
7.6%
12
8.9%
5
10.2%
1
11.5%
2
12.7%
0
14.0%
1
10th25th Median 75th90th 95th99th
0.9% 1.7% 3.3% 5.3% 6.8% 7.8% 10.3%
Highlighted player: 3.6% · approximate percentile: 50–75th
K-BB% n=356 · μ=12.6% · σ=7.8%
-9.8%
3
-5.9%
5
-2.1%
18
1.7%
41
5.5%
57
9.3%
62
13.1%
●
67
16.9%
48
20.7%
33
24.6%
12
28.4%
5
32.2%
5
10th25th Median 75th90th 95th99th
2.8% 7.1% 12.5% 17.7% 22.3% 25.1% 33.5%
Highlighted player: 13.3% · approximate percentile: 50–75th
oAVG n=356 · μ=0.442 · σ=0.089
0.174
2
0.218
3
0.261
13
0.304
27
0.347
●
58
0.391
74
0.434
66
0.477
47
0.521
33
0.564
19
0.607
8
0.650
6
10th25th Median 75th90th 95th99th
0.329 0.382 0.435 0.495 0.558 0.594 0.667
Highlighted player: 0.373 · approximate percentile: 10–25th
WAR n=356 · μ=0.52 · σ=0.787
-0.83
29
-0.36
83
0.12
105
0.59
●
74
1.06
34
1.54
11
2.01
11
2.48
5
2.96
1
3.43
1
3.91
1
4.38
1
10th25th Median 75th90th 95th99th
-0.27 0.01 0.40 0.84 1.46 2.12 3.03
Highlighted player: 0.61 · 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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