Distributions

League-wide player histograms · 656 games played · 508 qualifying batters (36+ PA) · 351 qualifying pitchers (36+ outs)
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Marking Dudley Goldfeld CIN on every histogram below. Compare ↗

Batting distributions

PAVG n=508 · μ=0.402 · σ=0.142
0.057
3
0.115
12
0.174
49
0.233
83
0.292
51
0.351
74
0.410
57
0.469
●
68
0.528
47
0.587
42
0.645
20
0.704
2
10th25th Median 75th90th 95th99th
0.219 0.282 0.396 0.512 0.600 0.638 0.679
Highlighted player: 0.491 · approximate percentile: 50–75th
OPS n=508 · μ=1.193 · σ=0.440
0.296
8
0.463
39
0.630
73
0.798
62
0.965
64
1.132
57
1.299
●
53
1.466
52
1.633
38
1.800
43
1.967
18
2.134
1
10th25th Median 75th90th 95th99th
0.660 0.811 1.150 1.554 1.825 1.913 2.078
Highlighted player: 1.379 · approximate percentile: 50–75th
OPS+ n=508 · μ=100 · σ=37.019
25
9
39
36
53
71
67
62
80
68
94
52
108
●
56
122
50
136
38
149
45
163
17
177
4
10th25th Median 75th90th 95th99th
55 68 97 130 155 163 174
Highlighted player: 114 · approximate percentile: 50–75th
wOBA n=508 · μ=0.533 · σ=0.212
0.135
17
0.217
52
0.300
88
0.382
63
0.465
68
0.547
●
51
0.630
51
0.712
42
0.795
39
0.877
29
0.960
6
1.042
2
10th25th Median 75th90th 95th99th
0.281 0.354 0.502 0.703 0.840 0.901 0.978
Highlighted player: 0.605 · approximate percentile: 50–75th
BAVG n=508 · μ=0.463 · σ=0.169
0.068
4
0.140
21
0.212
49
0.283
97
0.355
55
0.427
70
0.498
●
63
0.570
64
0.642
40
0.713
37
0.785
5
0.857
3
10th25th Median 75th90th 95th99th
0.247 0.318 0.461 0.595 0.696 0.745 0.800
Highlighted player: 0.553 · approximate percentile: 50–75th
ISO n=508 · μ=0.262 · σ=0.166
0.000
49
0.067
84
0.135
90
0.202
83
0.269
●
42
0.337
43
0.404
50
0.471
33
0.539
14
0.606
15
0.674
3
0.741
2
10th25th Median 75th90th 95th99th
0.068 0.129 0.227 0.385 0.497 0.570 0.669
Highlighted player: 0.284 · approximate percentile: 50–75th
BABIP n=508 · μ=0.592 · σ=0.164
0.125
2
0.210
11
0.295
41
0.379
66
0.464
79
0.549
97
0.634
●
94
0.719
75
0.804
29
0.888
9
0.973
3
1.058
2
10th25th Median 75th90th 95th99th
0.374 0.470 0.594 0.711 0.794 0.849 0.972
Highlighted player: 0.675 · approximate percentile: 50–75th
K% n=508 · μ=23.0% · σ=10.6%
3.4%
28
8.2%
67
12.9%
88
17.7%
●
75
22.4%
84
27.2%
72
31.9%
32
36.7%
34
41.4%
16
46.2%
6
50.9%
4
55.7%
2
10th25th Median 75th90th 95th99th
10.2% 14.9% 22.1% 29.6% 38.1% 42.1% 50.9%
Highlighted player: 18.1% · approximate percentile: 25–50th
BB% n=508 · μ=10.9% · σ=4.2%
1.4%
14
3.4%
34
5.3%
50
7.3%
●
84
9.3%
103
11.2%
87
13.2%
61
15.2%
36
17.1%
22
19.1%
8
21.1%
4
23.0%
5
10th25th Median 75th90th 95th99th
5.4% 7.9% 10.6% 13.3% 16.3% 17.9% 22.8%
Highlighted player: 8.6% · approximate percentile: 25–50th
2C-RBI% n=508 · μ=18.1% · σ=13.3%
0.0%
89
5.6%
66
11.1%
99
16.7%
●
82
22.2%
68
27.8%
31
33.3%
29
38.9%
18
44.4%
7
50.0%
16
55.6%
2
61.1%
1
10th25th Median 75th90th 95th99th
0.0% 8.7% 16.5% 25.2% 36.9% 44.4% 54.5%
Highlighted player: 17.4% · approximate percentile: 50–75th
2C-Conv% n=508 · μ=63.5% · σ=29.9%
0.0%
36
8.3%
6
16.7%
16
25.0%
30
33.3%
35
41.7%
24
50.0%
46
58.3%
35
66.7%
●
41
75.0%
65
83.3%
74
91.7%
100
10th25th Median 75th90th 95th99th
20.0% 42.9% 70.0% 88.6% 100.0% 100.0% 100.0%
Highlighted player: 70.6% · approximate percentile: 50–75th
MhAB% n=508 · μ=2.8% · σ=2.9%
0.0%
174
1.2%
88
2.3%
88
3.5%
●
40
4.7%
34
5.8%
28
7.0%
27
8.1%
11
9.3%
8
10.5%
3
11.6%
3
12.8%
4
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.2% 4.4% 7.1% 8.5% 12.2%
Highlighted player: 3.9% · approximate percentile: 50–75th
RISP-AVG n=508 · μ=0.424 · σ=0.183
0.029
9
0.107
33
0.185
65
0.263
77
0.342
83
0.420
●
66
0.498
61
0.576
53
0.655
37
0.733
10
0.811
10
0.889
4
10th25th Median 75th90th 95th99th
0.194 0.286 0.410 0.552 0.676 0.725 0.877
Highlighted player: 0.494 · approximate percentile: 50–75th
RISP-OPS n=508 · μ=1.249 · σ=0.525
0.257
26
0.486
54
0.714
89
0.943
73
1.171
●
82
1.400
53
1.629
51
1.857
48
2.086
18
2.314
10
2.543
3
2.771
1
10th25th Median 75th90th 95th99th
0.608 0.832 1.206 1.653 2.000 2.158 2.449
Highlighted player: 1.376 · approximate percentile: 50–75th
RISP-Conv n=508 · μ=0.49 · σ=0.237
0.00
12
0.13
80
0.27
116
0.40
●
113
0.53
71
0.66
56
0.80
30
0.93
23
1.06
6
1.19
0
1.33
0
1.46
1
10th25th Median 75th90th 95th99th
0.22 0.30 0.44 0.64 0.81 0.94 1.09
Highlighted player: 0.52 · approximate percentile: 50–75th
WAR n=508 · μ=0.21 · σ=0.699
-1.23
6
-0.93
30
-0.63
91
-0.33
96
-0.03
88
0.27
55
0.57
●
53
0.87
30
1.17
24
1.47
20
1.78
11
2.08
4
10th25th Median 75th90th 95th99th
-0.53 -0.33 0.05 0.63 1.25 1.58 2.04
Highlighted player: 0.57 · approximate percentile: 50–75th

Pitching distributions

wERA n=351 · μ=10.20 · σ=3.711
2.60
10
4.15
28
5.70
42
7.25
58
8.80
58
10.36
49
11.91
40
13.46
30
15.01
14
16.56
11
18.11
9
19.66
2
10th25th Median 75th90th 95th99th
5.53 7.59 9.93 12.63 15.06 16.84 19.10
xRA n=351 · μ=10.27 · σ=3.255
3.46
6
4.99
29
6.52
62
8.04
74
9.57
53
11.09
44
12.62
41
14.15
18
15.67
12
17.20
8
18.72
2
20.25
2
10th25th Median 75th90th 95th99th
6.52 7.79 9.68 12.35 14.95 16.32 18.98
Decay n=270 · μ=+2.5 · σ=17.838
-75.2
2
-64.2
0
-53.1
1
-42.0
5
-31.0
13
-19.9
38
-8.9
75
+2.2
71
+13.3
38
+24.3
20
+35.4
6
+46.4
1
10th25th Median 75th90th 95th99th
-18.7 -7.8 +2.5 +12.9 +23.5 +31.7 +38.8
GSc avg n=351 · μ=49.8 · σ=5.280
33.2
3
36.0
7
38.8
18
41.6
27
44.4
41
47.2
82
50.0
71
52.8
56
55.5
37
58.3
5
61.1
2
63.9
2
10th25th Median 75th90th 95th99th
42.8 46.8 49.9 53.3 56.4 57.6 61.2
GSc+ n=351 · μ=101 · σ=10.658
68
3
73
8
79
17
84
26
90
40
95
76
101
74
106
58
112
40
118
5
123
1
129
3
10th25th Median 75th90th 95th99th
87 95 101 108 114 116 123
FOP n=351 · μ=52 · σ=9.460
22
2
26
1
31
14
35
24
40
37
44
49
49
54
53
76
58
46
62
30
67
15
71
3
10th25th Median 75th90th 95th99th
39 45 53 58 64 67 71
OS+ n=351 · μ=120 · σ=55.491
44
51
70
89
95
71
121
59
146
25
171
19
197
13
222
8
248
9
273
5
299
1
324
0
10th25th Median 75th90th 95th99th
64 81 104 142 201 244 291
GE n=351 · μ=2.7 · σ=1.336
1.3
138
2.0
86
2.7
54
3.4
21
4.1
27
4.8
9
5.4
7
6.1
3
6.8
2
7.5
2
8.2
0
8.9
2
10th25th Median 75th90th 95th99th
1.4 1.7 2.3 3.1 4.5 5.2 7.3
K% n=351 · μ=30.4% · σ=7.1%
10.2%
4
13.7%
4
17.3%
18
20.8%
44
24.4%
69
27.9%
65
31.4%
52
35.0%
52
38.5%
20
42.1%
17
45.6%
5
49.2%
0
10th25th Median 75th90th 95th99th
22.2% 25.3% 29.9% 35.3% 40.4% 43.1% 46.3%
BB% n=351 · μ=10.9% · σ=3.7%
2.4%
3
4.0%
15
5.6%
44
7.2%
42
8.7%
62
10.3%
60
11.9%
42
13.5%
34
15.1%
20
16.7%
15
18.3%
9
19.8%
5
10th25th Median 75th90th 95th99th
6.4% 8.2% 10.5% 13.2% 16.1% 17.8% 20.0%
HR% n=351 · μ=3.7% · σ=2.6%
0.0%
65
1.4%
81
2.7%
65
4.1%
57
5.5%
42
6.8%
19
8.2%
14
9.5%
4
10.9%
1
12.3%
1
13.6%
1
15.0%
1
10th25th Median 75th90th 95th99th
0.8% 1.8% 3.4% 5.3% 7.2% 8.3% 11.1%
K-BB% n=351 · μ=12.6% · σ=8.0%
-12.6%
1
-8.5%
4
-4.3%
7
-0.2%
34
4.0%
58
8.2%
72
12.3%
70
16.5%
47
20.6%
38
24.8%
12
29.0%
7
33.1%
1
10th25th Median 75th90th 95th99th
3.1% 6.5% 12.2% 18.0% 22.4% 26.5% 32.1%
oAVG n=351 · μ=0.443 · σ=0.089
0.140
2
0.185
1
0.230
2
0.275
23
0.320
37
0.365
64
0.410
74
0.455
55
0.500
47
0.545
24
0.589
14
0.634
8
10th25th Median 75th90th 95th99th
0.328 0.386 0.439 0.500 0.565 0.593 0.653
WAR n=351 · μ=0.45 · σ=0.684
-0.75
22
-0.32
91
0.10
122
0.53
55
0.95
33
1.38
11
1.80
9
2.23
3
2.65
3
3.08
0
3.50
1
3.93
1
10th25th Median 75th90th 95th99th
-0.23 0.01 0.32 0.72 1.27 1.77 2.66
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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