Distributions

League-wide player histograms · 320 games played · 331 qualifying batters (26+ PA) · 206 qualifying pitchers (26+ outs)
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Player ID 5650 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=331 · μ=0.266 · σ=0.101
0.032
5
0.080
20
0.127
37
0.174
58
0.222
56
0.269
50
0.316
48
0.363
29
0.411
19
0.458
5
0.505
2
0.553
2
10th25th Median 75th90th 95th99th
0.133 0.188 0.261 0.339 0.400 0.440 0.507
OPS n=331 · μ=0.858 · σ=0.310
0.129
3
0.286
21
0.443
55
0.600
60
0.757
61
0.914
47
1.071
39
1.228
28
1.385
13
1.542
1
1.699
1
1.856
2
10th25th Median 75th90th 95th99th
0.486 0.624 0.838 1.077 1.257 1.384 1.603
OPS+ n=331 · μ=103 · σ=37.265
15
3
34
21
52
39
70
66
89
59
107
46
126
45
144
30
163
16
181
3
200
1
218
2
10th25th Median 75th90th 95th99th
59 74 101 130 152 167 190
wOBA n=331 · μ=0.428 · σ=0.176
0.053
6
0.143
31
0.233
69
0.324
64
0.414
59
0.504
41
0.595
33
0.685
20
0.775
5
0.866
1
0.956
1
1.046
1
10th25th Median 75th90th 95th99th
0.228 0.293 0.408 0.552 0.675 0.729 0.836
BAVG n=331 · μ=0.319 · σ=0.123
0.034
3
0.090
20
0.146
31
0.202
64
0.257
50
0.313
48
0.369
44
0.424
33
0.480
27
0.536
6
0.591
2
0.647
3
10th25th Median 75th90th 95th99th
0.163 0.227 0.311 0.415 0.485 0.519 0.627
ISO n=331 · μ=0.169 · σ=0.118
0.000
53
0.059
86
0.118
57
0.177
51
0.236
33
0.294
24
0.353
15
0.412
7
0.471
2
0.530
2
0.589
0
0.648
1
10th25th Median 75th90th 95th99th
0.037 0.078 0.145 0.239 0.328 0.386 0.495
BABIP n=331 · μ=0.426 · σ=0.133
0.056
5
0.117
1
0.178
23
0.240
38
0.301
45
0.363
41
0.424
62
0.486
49
0.547
44
0.609
16
0.670
6
0.732
1
10th25th Median 75th90th 95th99th
0.250 0.328 0.435 0.527 0.591 0.625 0.704
K% n=331 · μ=25.5% · σ=9.6%
2.7%
2
6.6%
14
10.6%
25
14.5%
36
18.5%
62
22.4%
48
26.4%
40
30.3%
37
34.2%
29
38.2%
22
42.1%
8
46.1%
8
10th25th Median 75th90th 95th99th
12.5% 18.9% 25.0% 32.1% 38.7% 42.0% 47.4%
BB% n=331 · μ=14.0% · σ=5.3%
0.0%
3
2.9%
11
5.7%
35
8.6%
54
11.4%
69
14.3%
81
17.1%
38
20.0%
26
22.8%
6
25.7%
3
28.5%
3
31.4%
2
10th25th Median 75th90th 95th99th
7.4% 10.3% 14.0% 16.8% 20.7% 22.4% 30.5%
2C-RBI% n=331 · μ=2.7% · σ=6.3%
0.0%
263
2.8%
9
5.6%
7
8.3%
13
11.1%
11
13.9%
8
16.7%
7
19.4%
2
22.2%
3
25.0%
4
27.8%
3
30.6%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 11.1% 16.7% 28.1%
2C-Conv% n=331 · μ=26.2% · σ=43.8%
0.0%
243
8.3%
0
16.7%
0
25.0%
0
33.3%
1
41.7%
0
50.0%
1
58.3%
0
66.7%
0
75.0%
0
83.3%
0
91.7%
86
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=331 · μ=0.2% · σ=0.9%
0.0%
304
0.7%
0
1.3%
10
2.0%
6
2.7%
2
3.3%
5
4.0%
2
4.7%
1
5.3%
0
6.0%
0
6.7%
0
7.3%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 2.0% 4.3%
RISP-AVG n=331 · μ=0.259 · σ=0.108
0.000
2
0.049
14
0.098
40
0.147
40
0.196
63
0.245
48
0.293
48
0.342
36
0.391
24
0.440
11
0.489
2
0.538
3
10th25th Median 75th90th 95th99th
0.118 0.182 0.250 0.333 0.400 0.440 0.497
RISP-OPS n=331 · μ=0.850 · σ=0.317
0.120
3
0.260
18
0.401
40
0.541
48
0.681
58
0.822
52
0.962
37
1.103
36
1.243
20
1.383
13
1.524
3
1.664
3
10th25th Median 75th90th 95th99th
0.444 0.600 0.821 1.082 1.269 1.396 1.598
RISP-Conv n=331 · μ=0.33 · σ=0.155
0.04
21
0.11
22
0.17
58
0.24
55
0.31
63
0.38
36
0.44
33
0.51
20
0.58
10
0.65
6
0.71
5
0.78
2
10th25th Median 75th90th 95th99th
0.15 0.22 0.32 0.43 0.53 0.61 0.76
WAR n=331 · μ=0.20 · σ=0.442
-0.68
10
-0.38
87
-0.09
100
0.21
62
0.51
45
0.80
14
1.10
8
1.40
3
1.69
1
1.99
0
2.29
0
2.58
1
10th25th Median 75th90th 95th99th
-0.25 -0.11 0.12 0.44 0.75 1.00 1.50

Pitching distributions

wERA n=206 · μ=9.43 · σ=3.526
2.12
8
4.00
18
5.87
43
7.75
51
9.62
36
11.50
20
13.37
15
15.25
12
17.12
2
19.00
0
20.87
0
22.75
1
10th25th Median 75th90th 95th99th
5.02 7.23 8.78 11.17 14.60 15.92 17.26
xRA n=206 · μ=9.43 · σ=3.526
2.12
8
4.00
18
5.87
43
7.75
51
9.62
36
11.50
20
13.37
15
15.25
12
17.12
2
19.00
0
20.87
0
22.75
1
10th25th Median 75th90th 95th99th
5.02 7.23 8.78 11.17 14.60 15.92 17.26
Decay n=159 · μ=+0.3 · σ=20.675
-69.5
2
-58.6
1
-47.6
4
-36.6
8
-25.7
14
-14.7
37
-3.7
35
+7.2
30
+18.2
16
+29.2
9
+40.1
2
+51.1
1
10th25th Median 75th90th 95th99th
-24.3 -11.0 +1.2 +13.5 +27.1 +32.3 +43.7
GSc avg n=206 · μ=49.2 · σ=5.549
33.6
2
36.9
5
40.3
27
43.6
33
47.0
66
50.3
31
53.7
27
57.0
9
60.4
5
63.7
0
67.1
0
70.4
1
10th25th Median 75th90th 95th99th
42.6 46.0 48.9 52.2 56.0 57.9 63.2
GSc+ n=206 · μ=103 · σ=11.531
69
2
76
4
83
20
90
35
97
59
104
41
111
25
118
14
125
3
132
2
138
0
145
1
10th25th Median 75th90th 95th99th
88 96 102 109 117 120 132
FOP n=206 · μ=61 · σ=10.533
22
1
28
1
33
2
38
5
43
15
48
25
53
31
58
34
63
37
69
33
74
16
79
6
10th25th Median 75th90th 95th99th
47 54 62 69 74 78 81
OS+ n=206 · μ=121 · σ=50.409
41
23
63
35
85
34
106
34
128
28
149
18
171
12
193
11
214
5
236
4
258
1
279
1
10th25th Median 75th90th 95th99th
62 81 111 150 196 217 247
GE n=206 · μ=2.3 · σ=1.163
1.0
61
1.4
29
1.8
24
2.2
24
2.6
19
3.0
16
3.4
9
3.8
4
4.1
8
4.5
2
4.9
6
5.3
4
10th25th Median 75th90th 95th99th
1.0 1.3 2.0 2.9 4.0 4.8 5.6
K% n=206 · μ=33.7% · σ=9.2%
15.2%
11
18.7%
13
22.3%
20
25.9%
26
29.5%
28
33.0%
33
36.6%
26
40.2%
21
43.8%
13
47.3%
6
50.9%
5
54.5%
4
10th25th Median 75th90th 95th99th
21.6% 27.3% 33.9% 39.7% 45.6% 49.3% 57.5%
BB% n=206 · μ=14.0% · σ=5.1%
0.0%
1
2.6%
4
5.2%
15
7.9%
34
10.5%
35
13.1%
53
15.7%
31
18.4%
13
21.0%
12
23.6%
4
26.2%
2
28.9%
2
10th25th Median 75th90th 95th99th
7.9% 10.4% 13.9% 16.7% 20.5% 23.1% 28.5%
HR% n=206 · μ=2.0% · σ=2.0%
0.0%
78
0.9%
39
1.9%
33
2.8%
17
3.7%
17
4.6%
11
5.6%
4
6.5%
3
7.4%
2
8.3%
1
9.3%
0
10.2%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 1.7% 2.9% 4.7% 5.8% 8.2%
K-BB% n=206 · μ=13.2% · σ=11.7%
-16.4%
4
-10.7%
8
-5.1%
16
0.5%
31
6.1%
32
11.8%
46
17.4%
29
23.0%
22
28.7%
11
34.3%
3
39.9%
3
45.5%
1
10th25th Median 75th90th 95th99th
-1.6% 5.2% 13.2% 20.3% 28.4% 31.2% 43.2%
oAVG n=206 · μ=0.290 · σ=0.088
0.038
2
0.075
1
0.112
8
0.149
15
0.186
24
0.223
23
0.260
34
0.296
44
0.333
15
0.370
13
0.407
21
0.444
5
10th25th Median 75th90th 95th99th
0.174 0.230 0.292 0.347 0.418 0.432 0.457
WAR n=206 · μ=0.32 · σ=0.454
-0.70
4
-0.49
13
-0.28
20
-0.07
40
0.14
45
0.35
33
0.56
15
0.77
16
0.98
10
1.19
6
1.40
3
1.61
1
10th25th Median 75th90th 95th99th
-0.24 0.03 0.26 0.55 0.97 1.16 1.52
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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