Distributions

League-wide player histograms · 1592 games played · 301 qualifying batters (132+ PA) · 199 qualifying pitchers (132+ outs)
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Player ID 5182 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=301 · μ=0.226 · σ=0.076
0.096
15
0.135
59
0.175
83
0.214
71
0.253
31
0.293
14
0.332
11
0.372
6
0.411
3
0.450
5
0.490
2
0.529
1
10th25th Median 75th90th 95th99th
0.148 0.176 0.211 0.250 0.322 0.394 0.486
OPS n=301 · μ=0.731 · σ=0.245
0.329
9
0.455
75
0.582
89
0.708
61
0.834
31
0.960
11
1.086
4
1.212
9
1.338
4
1.464
3
1.590
4
1.717
1
10th25th Median 75th90th 95th99th
0.507 0.574 0.672 0.795 1.027 1.260 1.611
OPS+ n=301 · μ=101 · σ=34.008
47
15
65
80
82
92
100
58
118
23
136
9
154
5
172
8
190
4
208
4
226
2
243
1
10th25th Median 75th90th 95th99th
68 79 93 111 138 178 224
wOBA n=301 · μ=0.379 · σ=0.141
0.159
14
0.230
81
0.301
84
0.372
60
0.443
28
0.514
10
0.586
4
0.657
9
0.728
3
0.799
2
0.870
5
0.941
0
10th25th Median 75th90th 95th99th
0.250 0.287 0.343 0.423 0.550 0.683 0.903
BAVG n=301 · μ=0.267 · σ=0.093
0.110
16
0.160
68
0.209
87
0.259
68
0.309
24
0.359
13
0.409
7
0.459
8
0.509
4
0.559
5
0.609
0
0.659
1
10th25th Median 75th90th 95th99th
0.174 0.205 0.248 0.298 0.383 0.474 0.574
ISO n=301 · μ=0.129 · σ=0.091
0.012
38
0.054
95
0.095
73
0.137
36
0.178
26
0.220
6
0.261
9
0.303
6
0.345
4
0.386
1
0.428
2
0.469
5
10th25th Median 75th90th 95th99th
0.049 0.072 0.104 0.160 0.227 0.318 0.494
BABIP n=301 · μ=0.384 · σ=0.085
0.198
6
0.243
23
0.289
56
0.335
74
0.380
68
0.426
34
0.472
16
0.518
11
0.563
8
0.609
3
0.655
1
0.700
1
10th25th Median 75th90th 95th99th
0.290 0.326 0.374 0.424 0.491 0.549 0.615
K% n=301 · μ=29.6% · σ=7.2%
6.6%
2
9.7%
7
12.8%
11
15.9%
10
19.1%
18
22.2%
16
25.3%
43
28.4%
55
31.5%
67
34.6%
39
37.8%
26
40.9%
6
10th25th Median 75th90th 95th99th
19.4% 26.5% 31.0% 34.4% 38.0% 39.3% 42.0%
BB% n=301 · μ=13.2% · σ=2.7%
4.9%
1
6.3%
5
7.7%
6
9.1%
30
10.4%
48
11.8%
69
13.2%
58
14.6%
36
16.0%
30
17.3%
8
18.7%
6
20.1%
4
10th25th Median 75th90th 95th99th
10.0% 11.5% 13.0% 14.9% 16.8% 17.6% 20.3%
2C-RBI% n=301 · μ=2.3% · σ=3.1%
0.0%
157
1.1%
24
2.3%
33
3.4%
34
4.6%
15
5.7%
10
6.9%
4
8.0%
5
9.2%
6
10.3%
8
11.5%
4
12.6%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 3.8% 6.7% 9.7% 12.0%
2C-Conv% n=301 · μ=50.8% · σ=49.0%
0.0%
143
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
6
58.3%
0
66.7%
1
75.0%
5
83.3%
4
91.7%
142
10th25th Median 75th90th 95th99th
0.0% 0.0% 75.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=301 · μ=0.1% · σ=0.3%
0.0%
242
0.2%
2
0.4%
23
0.5%
11
0.7%
7
0.9%
7
1.1%
2
1.2%
2
1.4%
2
1.6%
1
1.8%
1
2.0%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.6% 0.9% 1.6%
RISP-AVG n=301 · μ=0.216 · σ=0.076
0.080
13
0.115
42
0.150
53
0.185
72
0.220
49
0.255
37
0.290
10
0.325
7
0.360
4
0.395
6
0.430
5
0.465
3
10th25th Median 75th90th 95th99th
0.136 0.160 0.204 0.247 0.305 0.381 0.464
RISP-OPS n=301 · μ=0.729 · σ=0.238
0.374
29
0.481
56
0.588
69
0.695
67
0.802
37
0.909
12
1.016
8
1.123
6
1.229
6
1.336
3
1.443
4
1.550
4
10th25th Median 75th90th 95th99th
0.494 0.575 0.688 0.815 1.024 1.245 1.579
RISP-Conv n=301 · μ=0.28 · σ=0.110
0.09
11
0.14
45
0.20
69
0.25
72
0.30
47
0.35
27
0.41
10
0.46
5
0.51
4
0.56
3
0.62
4
0.67
4
10th25th Median 75th90th 95th99th
0.18 0.21 0.27 0.32 0.40 0.49 0.68
WAR n=301 · μ=0.66 · σ=1.872
-2.32
18
-1.17
109
-0.03
91
1.11
45
2.26
16
3.40
5
4.55
6
5.69
6
6.83
3
7.98
0
9.12
0
10.27
2
10th25th Median 75th90th 95th99th
-0.92 -0.50 0.15 1.21 2.67 4.81 7.19

Pitching distributions

wERA n=199 · μ=7.56 · σ=1.966
2.86
2
4.02
13
5.17
39
6.33
50
7.49
42
8.64
29
9.80
14
10.96
7
12.12
1
13.27
0
14.43
0
15.59
2
10th25th Median 75th90th 95th99th
5.40 6.20 7.37 8.73 9.85 10.94 12.71
xRA n=199 · μ=7.56 · σ=1.966
2.86
2
4.02
13
5.17
39
6.33
50
7.49
42
8.64
29
9.80
14
10.96
7
12.12
1
13.27
0
14.43
0
15.59
2
10th25th Median 75th90th 95th99th
5.40 6.20 7.37 8.73 9.85 10.94 12.71
Decay n=195 · μ=+1.1 · σ=11.343
-31.2
4
-23.6
6
-16.0
26
-8.4
49
-0.8
55
+6.8
41
+14.4
7
+22.1
5
+29.7
1
+37.3
0
+44.9
0
+52.5
1
10th25th Median 75th90th 95th99th
-12.1 -5.8 +0.9 +8.0 +12.7 +17.5 +29.0
GSc avg n=199 · μ=48.8 · σ=3.652
38.3
1
40.0
4
41.8
10
43.6
16
45.4
33
47.2
45
49.0
33
50.8
23
52.6
17
54.4
13
56.2
3
58.0
1
10th25th Median 75th90th 95th99th
44.2 46.4 48.7 51.3 53.9 55.0 57.2
GSc+ n=199 · μ=102 · σ=7.584
81
1
84
3
88
12
91
19
95
33
99
35
102
38
106
22
109
18
113
12
117
5
120
1
10th25th Median 75th90th 95th99th
93 97 102 107 112 115 118
FOP n=199 · μ=61 · σ=7.840
36
2
40
1
44
6
48
12
52
26
56
32
60
48
64
30
67
21
71
13
75
6
79
2
10th25th Median 75th90th 95th99th
51 56 62 66 72 74 78
OS+ n=199 · μ=121 · σ=43.108
46
12
60
17
75
22
89
32
104
25
118
18
132
12
147
20
161
11
176
15
190
10
204
5
10th25th Median 75th90th 95th99th
70 86 112 155 187 195 216
GE n=199 · μ=10.9 · σ=4.997
4.9
46
6.6
35
8.3
23
9.9
21
11.6
19
13.2
12
14.9
11
16.6
13
18.2
2
19.9
8
21.6
5
23.2
3
10th25th Median 75th90th 95th99th
5.5 6.7 9.7 13.8 18.1 20.5 24.2
K% n=199 · μ=36.4% · σ=6.3%
20.9%
3
23.8%
11
26.7%
16
29.6%
28
32.5%
26
35.4%
40
38.4%
29
41.3%
25
44.2%
12
47.1%
6
50.0%
1
52.9%
2
10th25th Median 75th90th 95th99th
28.5% 31.9% 36.5% 40.7% 44.3% 46.6% 51.2%
BB% n=199 · μ=13.6% · σ=2.8%
5.8%
1
7.1%
4
8.3%
8
9.5%
18
10.8%
36
12.0%
22
13.2%
30
14.4%
35
15.7%
18
16.9%
14
18.1%
8
19.4%
5
10th25th Median 75th90th 95th99th
10.1% 11.7% 13.7% 15.4% 17.2% 18.5% 20.0%
HR% n=199 · μ=1.6% · σ=1.0%
0.0%
23
0.5%
36
1.0%
41
1.5%
38
1.9%
29
2.4%
15
2.9%
7
3.4%
6
3.9%
1
4.4%
0
4.9%
1
5.4%
2
10th25th Median 75th90th 95th99th
0.5% 0.9% 1.4% 2.1% 2.8% 3.4% 5.0%
K-BB% n=199 · μ=16.8% · σ=7.4%
0.5%
10
4.0%
10
7.4%
21
10.9%
32
14.3%
39
17.8%
38
21.2%
24
24.7%
10
28.1%
9
31.6%
4
35.1%
1
38.5%
1
10th25th Median 75th90th 95th99th
7.6% 11.9% 16.4% 20.9% 26.4% 30.0% 33.2%
oAVG n=199 · μ=0.251 · σ=0.052
0.107
2
0.134
1
0.161
17
0.189
36
0.216
40
0.243
34
0.271
34
0.298
19
0.325
9
0.352
5
0.380
0
0.407
2
10th25th Median 75th90th 95th99th
0.190 0.214 0.245 0.284 0.318 0.345 0.365
WAR n=199 · μ=1.23 · σ=1.421
-2.25
2
-1.54
7
-0.82
18
-0.11
42
0.61
55
1.32
29
2.04
20
2.75
10
3.47
8
4.18
3
4.90
4
5.61
1
10th25th Median 75th90th 95th99th
-0.19 0.27 0.95 1.89 3.30 3.92 5.22
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 xRA. K-BB% is plain (K - BB) / BF.
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