Distributions

League-wide player histograms · 1554 games played · 298 qualifying batters (129+ PA) · 200 qualifying pitchers (129+ outs)
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Marking Rich Linnehan KCR on every histogram below. Compare ↗

Batting distributions

PAVG n=298 · μ=0.227 · σ=0.077
0.096
16
0.135
●
57
0.175
79
0.214
71
0.254
35
0.293
11
0.333
9
0.372
9
0.412
3
0.451
5
0.491
2
0.530
1
10th25th Median 75th90th 95th99th
0.151 0.175 0.213 0.255 0.327 0.396 0.486
Highlighted player: 0.145 · approximate percentile: ≤ 10th
OPS n=298 · μ=0.733 · σ=0.249
0.329
●
10
0.456
69
0.583
90
0.709
65
0.836
27
0.963
12
1.090
3
1.216
11
1.343
3
1.470
3
1.596
4
1.723
1
10th25th Median 75th90th 95th99th
0.501 0.577 0.676 0.793 1.040 1.286 1.619
Highlighted player: 0.417 · approximate percentile: ≤ 10th
OPS+ n=298 · μ=101 · σ=34.522
47
●
15
65
77
82
95
100
57
118
20
136
10
154
5
172
9
190
3
208
4
226
2
244
1
10th25th Median 75th90th 95th99th
68 79 92 110 142 179 223
Highlighted player: 59 · approximate percentile: ≤ 10th
wOBA n=298 · μ=0.380 · σ=0.143
0.159
●
12
0.230
84
0.301
84
0.373
57
0.444
25
0.515
11
0.586
5
0.658
9
0.729
3
0.800
2
0.871
5
0.943
1
10th25th Median 75th90th 95th99th
0.250 0.287 0.343 0.421 0.556 0.708 0.903
Highlighted player: 0.203 · approximate percentile: ≤ 10th
BAVG n=298 · μ=0.268 · σ=0.095
0.110
●
19
0.160
66
0.210
86
0.261
66
0.311
23
0.362
12
0.412
6
0.462
10
0.513
4
0.563
5
0.614
0
0.664
1
10th25th Median 75th90th 95th99th
0.174 0.205 0.252 0.297 0.389 0.482 0.575
Highlighted player: 0.156 · approximate percentile: ≤ 10th
ISO n=298 · μ=0.130 · σ=0.092
0.012
●
37
0.053
92
0.095
71
0.136
38
0.177
24
0.219
9
0.260
8
0.301
7
0.343
2
0.384
3
0.425
2
0.466
5
10th25th Median 75th90th 95th99th
0.049 0.072 0.103 0.159 0.246 0.321 0.487
Highlighted player: 0.053 · approximate percentile: 10–25th
BABIP n=298 · μ=0.384 · σ=0.087
0.198
8
0.244
●
27
0.290
52
0.337
75
0.383
64
0.429
35
0.476
12
0.522
14
0.568
6
0.615
3
0.661
1
0.708
1
10th25th Median 75th90th 95th99th
0.287 0.325 0.374 0.428 0.502 0.551 0.630
Highlighted player: 0.246 · approximate percentile: ≤ 10th
K% n=298 · μ=29.5% · σ=7.4%
6.7%
5
10.3%
8
13.9%
15
17.5%
12
21.0%
23
24.6%
40
28.2%
67
31.7%
●
64
35.3%
42
38.9%
18
42.5%
3
46.0%
1
10th25th Median 75th90th 95th99th
18.4% 26.4% 30.6% 34.4% 38.1% 39.7% 42.6%
Highlighted player: 35.1% · approximate percentile: 75–90th
BB% n=298 · μ=13.2% · σ=2.7%
4.6%
1
6.0%
●
4
7.5%
7
8.9%
26
10.3%
53
11.8%
71
13.2%
57
14.6%
38
16.1%
19
17.5%
14
18.9%
6
20.4%
2
10th25th Median 75th90th 95th99th
10.0% 11.3% 12.9% 15.0% 16.7% 17.8% 20.0%
Highlighted player: 6.1% · approximate percentile: ≤ 10th
2C-RBI% n=298 · μ=2.3% · σ=3.1%
0.0%
●
159
1.0%
17
2.1%
26
3.1%
30
4.2%
22
5.2%
13
6.2%
7
7.3%
2
8.3%
5
9.4%
6
10.4%
7
11.5%
4
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 3.8% 6.4% 9.7% 12.3%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
2C-Conv% n=298 · μ=50.0% · σ=49.0%
0.0%
●
144
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%
138
10th25th Median 75th90th 95th99th
0.0% 0.0% 50.0% 100.0% 100.0% 100.0% 100.0%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
MhAB% n=298 · μ=0.1% · σ=0.4%
0.0%
●
240
0.2%
1
0.4%
23
0.5%
9
0.7%
8
0.9%
7
1.1%
3
1.2%
2
1.4%
1
1.6%
2
1.8%
1
2.0%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.6% 0.9% 1.6%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
RISP-AVG n=298 · μ=0.217 · σ=0.077
0.080
●
12
0.115
40
0.149
50
0.184
72
0.218
50
0.253
33
0.287
15
0.322
8
0.356
3
0.391
7
0.425
2
0.460
6
10th25th Median 75th90th 95th99th
0.136 0.161 0.204 0.250 0.311 0.387 0.467
Highlighted player: 0.109 · approximate percentile: ≤ 10th
RISP-OPS n=298 · μ=0.730 · σ=0.241
0.357
●
25
0.465
50
0.572
66
0.680
75
0.788
32
0.896
19
1.003
8
1.111
4
1.219
8
1.326
2
1.434
5
1.542
4
10th25th Median 75th90th 95th99th
0.490 0.572 0.689 0.811 1.012 1.262 1.555
Highlighted player: 0.398 · approximate percentile: ≤ 10th
RISP-Conv n=298 · μ=0.29 · σ=0.111
0.09
11
0.14
●
49
0.20
69
0.25
65
0.30
42
0.35
30
0.40
11
0.46
6
0.51
4
0.56
2
0.61
6
0.67
3
10th25th Median 75th90th 95th99th
0.17 0.21 0.27 0.33 0.41 0.50 0.66
Highlighted player: 0.16 · approximate percentile: ≤ 10th
WAR n=298 · μ=0.65 · σ=1.851
-2.43
●
10
-1.32
95
-0.20
99
0.91
50
2.03
20
3.14
7
4.26
4
5.37
8
6.49
3
7.60
0
8.72
0
9.83
2
10th25th Median 75th90th 95th99th
-0.95 -0.51 0.15 1.22 2.67 4.65 6.91
Highlighted player: -1.45 · approximate percentile: ≤ 10th

Pitching distributions

wERA n=200 · μ=7.61 · σ=1.983
2.99
3
4.14
14
5.30
41
6.46
51
7.62
40
8.78
30
9.93
11
11.09
8
12.25
0
13.41
0
14.57
0
15.72
2
10th25th Median 75th90th 95th99th
5.39 6.23 7.40 8.80 9.94 11.07 11.98
xRA n=200 · μ=7.61 · σ=1.983
2.99
3
4.14
14
5.30
41
6.46
51
7.62
40
8.78
30
9.93
11
11.09
8
12.25
0
13.41
0
14.57
0
15.72
2
10th25th Median 75th90th 95th99th
5.39 6.23 7.40 8.80 9.94 11.07 11.98
Decay n=196 · μ=+1.0 · σ=11.962
-30.3
5
-21.7
14
-13.1
41
-4.6
59
+4.0
56
+12.6
12
+21.1
7
+29.7
1
+38.3
0
+46.8
0
+55.4
0
+64.0
1
10th25th Median 75th90th 95th99th
-12.8 -6.3 +0.8 +8.1 +12.8 +17.1 +29.7
GSc avg n=200 · μ=48.8 · σ=3.769
37.8
1
39.7
3
41.6
9
43.5
20
45.4
35
47.3
48
49.2
30
51.1
23
53.0
20
54.9
8
56.8
2
58.7
1
10th25th Median 75th90th 95th99th
44.0 46.1 48.7 51.2 54.3 54.9 57.3
GSc+ n=200 · μ=102 · σ=7.851
80
1
84
3
87
13
91
20
95
33
99
39
103
34
106
25
110
14
114
14
118
3
122
1
10th25th Median 75th90th 95th99th
93 97 102 107 113 115 120
FOP n=200 · μ=61 · σ=7.871
36
2
40
1
44
4
48
14
52
26
56
31
60
49
64
31
68
20
72
14
76
7
79
1
10th25th Median 75th90th 95th99th
51 56 62 66 72 74 78
OS+ n=200 · μ=121 · σ=43.761
45
10
59
21
74
21
89
32
104
27
118
16
133
12
148
18
163
13
177
16
192
9
207
5
10th25th Median 75th90th 95th99th
70 87 112 155 186 197 215
GE n=200 · μ=10.7 · σ=4.980
4.8
47
6.4
34
8.1
24
9.8
22
11.4
16
13.1
14
14.7
11
16.4
13
18.0
2
19.7
8
21.4
4
23.0
5
10th25th Median 75th90th 95th99th
5.4 6.5 9.5 13.7 17.9 20.3 24.0
K% n=200 · μ=36.1% · σ=6.4%
20.7%
4
23.6%
9
26.5%
17
29.5%
28
32.4%
30
35.3%
38
38.2%
30
41.2%
22
44.1%
12
47.0%
7
49.9%
1
52.9%
2
10th25th Median 75th90th 95th99th
28.0% 31.8% 36.2% 40.7% 44.2% 46.9% 51.2%
BB% n=200 · μ=13.6% · σ=2.8%
6.1%
2
7.3%
4
8.5%
12
9.7%
18
11.0%
33
12.2%
24
13.4%
33
14.6%
31
15.9%
22
17.1%
8
18.3%
9
19.5%
4
10th25th Median 75th90th 95th99th
10.3% 11.6% 13.7% 15.5% 17.1% 18.5% 20.3%
HR% n=200 · μ=1.6% · σ=1.0%
0.0%
24
0.5%
38
1.0%
40
1.5%
39
2.0%
28
2.5%
14
3.0%
9
3.5%
4
4.0%
1
4.5%
0
5.0%
2
5.4%
1
10th25th Median 75th90th 95th99th
0.5% 0.9% 1.4% 2.1% 2.8% 3.3% 5.2%
K-BB% n=200 · μ=16.6% · σ=7.4%
-0.5%
8
3.0%
11
6.5%
16
10.0%
33
13.5%
40
17.0%
38
20.5%
27
24.0%
11
27.6%
8
31.1%
6
34.6%
1
38.1%
1
10th25th Median 75th90th 95th99th
7.2% 11.8% 16.6% 21.0% 26.3% 29.9% 33.2%
oAVG n=200 · μ=0.253 · σ=0.052
0.112
2
0.139
3
0.167
17
0.194
42
0.221
38
0.249
32
0.276
37
0.304
13
0.331
13
0.358
1
0.386
0
0.413
2
10th25th Median 75th90th 95th99th
0.190 0.214 0.245 0.285 0.322 0.349 0.362
WAR n=200 · μ=1.20 · σ=1.412
-2.21
2
-1.51
5
-0.81
20
-0.11
46
0.59
51
1.30
31
2.00
19
2.70
10
3.40
8
4.10
2
4.80
5
5.50
1
10th25th Median 75th90th 95th99th
-0.19 0.25 0.94 1.89 3.26 3.97 5.24
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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