Distributions

League-wide player histograms · 1237 games played · 293 qualifying batters (103+ PA) · 195 qualifying pitchers (103+ outs)
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Player ID 3768 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=293 · μ=0.233 · σ=0.078
0.095
15
0.136
55
0.177
74
0.218
70
0.259
33
0.300
17
0.341
10
0.382
11
0.423
4
0.464
2
0.505
1
0.546
1
10th25th Median 75th90th 95th99th
0.153 0.179 0.219 0.264 0.333 0.400 0.486
OPS n=293 · μ=0.751 · σ=0.253
0.327
15
0.460
68
0.593
83
0.726
60
0.859
28
0.992
15
1.125
5
1.258
10
1.391
4
1.523
3
1.656
1
1.789
1
10th25th Median 75th90th 95th99th
0.504 0.580 0.699 0.843 1.056 1.317 1.591
OPS+ n=293 · μ=101 · σ=34.153
45
19
64
73
82
90
100
49
119
28
137
12
155
6
174
7
192
5
210
2
229
1
247
1
10th25th Median 75th90th 95th99th
68 78 93 111 141 174 220
wOBA n=293 · μ=0.384 · σ=0.145
0.154
18
0.229
76
0.305
84
0.380
53
0.455
28
0.530
10
0.606
6
0.681
9
0.756
3
0.831
4
0.907
0
0.982
2
10th25th Median 75th90th 95th99th
0.244 0.286 0.349 0.435 0.558 0.702 0.881
BAVG n=293 · μ=0.276 · σ=0.097
0.110
15
0.162
61
0.214
87
0.266
63
0.319
29
0.371
12
0.423
8
0.475
10
0.528
5
0.580
2
0.632
0
0.685
1
10th25th Median 75th90th 95th99th
0.178 0.213 0.257 0.310 0.395 0.494 0.576
ISO n=293 · μ=0.135 · σ=0.092
0.012
44
0.058
92
0.103
62
0.149
46
0.195
17
0.241
8
0.286
11
0.332
3
0.378
4
0.424
3
0.470
1
0.515
2
10th25th Median 75th90th 95th99th
0.048 0.068 0.112 0.173 0.253 0.316 0.464
BABIP n=293 · μ=0.392 · σ=0.091
0.191
6
0.240
27
0.289
45
0.338
79
0.387
61
0.436
36
0.484
13
0.533
17
0.582
5
0.631
3
0.680
0
0.729
1
10th25th Median 75th90th 95th99th
0.286 0.333 0.379 0.441 0.524 0.560 0.640
K% n=293 · μ=29.0% · σ=7.5%
6.6%
3
9.8%
10
13.1%
5
16.3%
16
19.6%
27
22.8%
25
26.1%
50
29.3%
57
32.6%
49
35.8%
32
39.1%
13
42.3%
6
10th25th Median 75th90th 95th99th
18.2% 24.5% 30.1% 34.4% 38.2% 39.8% 42.8%
BB% n=293 · μ=13.2% · σ=2.9%
4.7%
1
6.2%
5
7.8%
13
9.3%
44
10.8%
48
12.3%
67
13.8%
47
15.3%
36
16.8%
18
18.3%
8
19.9%
5
21.4%
1
10th25th Median 75th90th 95th99th
9.8% 11.2% 13.0% 15.1% 17.1% 18.2% 20.9%
2C-RBI% n=293 · μ=2.6% · σ=3.7%
0.0%
167
1.6%
25
3.1%
30
4.7%
32
6.2%
12
7.8%
6
9.4%
4
10.9%
4
12.5%
8
14.1%
4
15.6%
0
17.2%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 4.5% 7.2% 11.8% 14.3%
2C-Conv% n=293 · μ=48.1% · σ=49.3%
0.0%
149
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
4
58.3%
0
66.7%
0
75.0%
4
83.3%
2
91.7%
134
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=293 · μ=0.2% · σ=0.4%
0.0%
239
0.2%
0
0.4%
18
0.6%
9
0.8%
8
1.0%
6
1.2%
3
1.4%
4
1.6%
1
1.8%
0
2.0%
3
2.2%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.7% 1.1% 2.1%
RISP-AVG n=293 · μ=0.224 · σ=0.081
0.081
14
0.118
46
0.155
51
0.192
61
0.229
47
0.266
37
0.303
11
0.340
9
0.377
7
0.414
4
0.451
4
0.488
1
10th25th Median 75th90th 95th99th
0.133 0.163 0.211 0.267 0.325 0.401 0.471
RISP-OPS n=293 · μ=0.748 · σ=0.252
0.326
13
0.441
51
0.557
65
0.672
63
0.788
48
0.903
19
1.019
11
1.135
5
1.250
8
1.366
3
1.481
3
1.597
4
10th25th Median 75th90th 95th99th
0.483 0.581 0.699 0.860 1.081 1.317 1.615
RISP-Conv n=293 · μ=0.29 · σ=0.117
0.10
20
0.15
54
0.21
67
0.27
59
0.32
40
0.38
21
0.44
15
0.49
5
0.55
3
0.61
7
0.66
0
0.72
2
10th25th Median 75th90th 95th99th
0.17 0.21 0.27 0.35 0.45 0.52 0.65
WAR n=293 · μ=0.59 · σ=1.614
-2.02
13
-1.07
95
-0.12
99
0.83
44
1.78
18
2.74
7
3.69
4
4.64
7
5.59
3
6.54
1
7.50
1
8.45
1
10th25th Median 75th90th 95th99th
-0.82 -0.39 0.16 1.09 2.32 4.06 6.22

Pitching distributions

wERA n=195 · μ=7.89 · σ=2.205
3.17
2
4.35
24
5.53
37
6.71
46
7.89
35
9.06
24
10.24
15
11.42
8
12.60
2
13.78
0
14.95
0
16.13
2
10th25th Median 75th90th 95th99th
5.43 6.27 7.49 9.22 10.78 11.74 13.93
xRA n=195 · μ=7.89 · σ=2.205
3.17
2
4.35
24
5.53
37
6.71
46
7.89
35
9.06
24
10.24
15
11.42
8
12.60
2
13.78
0
14.95
0
16.13
2
10th25th Median 75th90th 95th99th
5.43 6.27 7.49 9.22 10.78 11.74 13.93
Decay n=193 · μ=+1.1 · σ=12.558
-29.7
5
-21.1
21
-12.5
35
-3.9
61
+4.7
47
+13.3
17
+21.9
3
+30.6
2
+39.2
1
+47.8
0
+56.4
0
+65.0
1
10th25th Median 75th90th 95th99th
-14.0 -6.8 +1.1 +7.8 +14.1 +18.5 +32.7
GSc avg n=195 · μ=48.8 · σ=4.112
37.7
1
39.5
4
41.4
14
43.2
19
45.0
29
46.9
32
48.7
37
50.6
19
52.4
16
54.3
18
56.1
3
58.0
3
10th25th Median 75th90th 95th99th
43.5 46.0 48.7 51.0 54.7 55.4 58.3
GSc+ n=195 · μ=102 · σ=8.561
79
1
83
4
87
13
91
22
94
28
98
25
102
37
105
25
109
15
113
17
117
5
120
3
10th25th Median 75th90th 95th99th
91 96 102 107 114 116 121
FOP n=195 · μ=61 · σ=8.109
35
2
39
1
43
3
47
15
51
29
55
28
59
35
63
32
67
27
71
18
75
4
79
1
10th25th Median 75th90th 95th99th
51 55 62 67 72 73 77
OS+ n=195 · μ=122 · σ=43.074
50
12
65
25
79
25
94
27
108
19
122
18
137
14
151
17
166
12
180
15
195
7
209
4
10th25th Median 75th90th 95th99th
70 89 113 157 187 198 215
GE n=195 · μ=8.7 · σ=4.029
3.9
46
5.2
32
6.6
24
7.9
21
9.3
17
10.6
12
12.0
15
13.4
9
14.7
9
16.1
3
17.4
3
18.8
4
10th25th Median 75th90th 95th99th
4.3 5.3 7.7 11.3 14.5 16.4 19.6
K% n=195 · μ=35.9% · σ=6.6%
19.3%
3
22.3%
7
25.4%
13
28.4%
29
31.4%
33
34.5%
30
37.5%
29
40.5%
25
43.5%
14
46.6%
10
49.6%
1
52.6%
1
10th25th Median 75th90th 95th99th
27.9% 31.2% 35.8% 40.7% 44.8% 47.0% 49.4%
BB% n=195 · μ=13.7% · σ=2.9%
6.5%
3
7.8%
10
9.2%
18
10.6%
26
12.0%
33
13.4%
32
14.8%
42
16.2%
13
17.6%
10
19.0%
5
20.4%
2
21.8%
1
10th25th Median 75th90th 95th99th
10.1% 11.6% 13.6% 15.6% 17.1% 18.6% 20.7%
HR% n=195 · μ=1.6% · σ=1.0%
0.0%
23
0.5%
30
1.0%
39
1.5%
40
2.0%
27
2.5%
16
3.0%
11
3.5%
5
4.0%
1
4.5%
0
5.0%
1
5.5%
1
10th25th Median 75th90th 95th99th
0.4% 0.9% 1.6% 2.2% 3.0% 3.3% 5.3%
K-BB% n=195 · μ=16.2% · σ=7.6%
-3.6%
3
-0.2%
8
3.2%
9
6.6%
20
10.1%
28
13.5%
41
16.9%
34
20.3%
21
23.7%
14
27.1%
8
30.5%
8
33.9%
0
10th25th Median 75th90th 95th99th
6.7% 11.4% 15.9% 20.6% 26.8% 30.2% 33.1%
oAVG n=195 · μ=0.260 · σ=0.057
0.126
4
0.154
8
0.182
32
0.210
29
0.238
38
0.266
30
0.294
25
0.322
17
0.350
8
0.378
1
0.406
2
0.434
1
10th25th Median 75th90th 95th99th
0.192 0.217 0.250 0.301 0.335 0.353 0.415
WAR n=195 · μ=1.01 · σ=1.217
-1.71
3
-1.15
6
-0.59
24
-0.04
40
0.52
46
1.08
28
1.64
20
2.20
10
2.76
8
3.32
3
3.88
3
4.43
4
10th25th Median 75th90th 95th99th
-0.34 0.22 0.84 1.60 2.66 3.27 4.83
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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