Distributions

League-wide player histograms · 522 games played · 1229 qualifying batters (13+ PA) · 797 qualifying pitchers (13+ outs)
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Marking Olivier Füllkrug BIC on every histogram below. Compare ↗

Batting distributions

PAVG n=1229 · μ=0.366 · σ=0.126
0.000
8
0.063
23
0.127
56
0.190
160
0.254
224
0.317
●
185
0.381
231
0.444
180
0.508
99
0.571
41
0.635
20
0.698
2
10th25th Median 75th90th 95th99th
0.210 0.273 0.367 0.455 0.533 0.571 0.655
Highlighted player: 0.357 · approximate percentile: 25–50th
OPS n=1229 · μ=1.113 · σ=0.395
0.000
3
0.205
24
0.410
83
0.615
191
0.819
245
1.024
231
1.229
201
1.434
●
123
1.639
79
1.844
24
2.049
18
2.253
7
10th25th Median 75th90th 95th99th
0.642 0.824 1.080 1.360 1.649 1.771 2.140
Highlighted player: 1.571 · approximate percentile: 75–90th
OPS+ n=1229 · μ=101 · σ=35.654
0
3
19
24
38
84
56
195
75
259
94
231
113
200
131
112
150
●
74
169
29
188
14
206
4
10th25th Median 75th90th 95th99th
59 75 97 124 150 163 195
Highlighted player: 152 · approximate percentile: 90–95th
wOBA n=1229 · μ=0.484 · σ=0.237
0.000
42
0.117
120
0.234
223
0.351
262
0.468
221
0.585
139
0.702
●
112
0.819
59
0.936
24
1.053
16
1.170
5
1.287
6
10th25th Median 75th90th 95th99th
0.208 0.307 0.453 0.617 0.800 0.912 1.162
Highlighted player: 0.803 · approximate percentile: 90–95th
BAVG n=1229 · μ=0.418 · σ=0.144
0.000
9
0.074
22
0.148
66
0.222
157
0.296
227
0.370
215
0.444
●
232
0.519
152
0.593
92
0.667
40
0.741
13
0.815
4
10th25th Median 75th90th 95th99th
0.235 0.312 0.417 0.515 0.611 0.652 0.750
Highlighted player: 0.500 · approximate percentile: 50–75th
ISO n=1229 · μ=0.260 · σ=0.181
0.000
214
0.086
226
0.172
247
0.259
203
0.345
135
0.431
86
0.517
●
62
0.603
24
0.690
17
0.776
6
0.862
6
0.948
3
10th25th Median 75th90th 95th99th
0.059 0.121 0.231 0.364 0.500 0.589 0.799
Highlighted player: 0.571 · approximate percentile: 90–95th
BABIP n=1229 · μ=0.496 · σ=0.155
0.000
5
0.083
17
0.167
35
0.250
110
0.333
●
195
0.417
207
0.500
302
0.583
170
0.667
121
0.750
53
0.833
11
0.917
3
10th25th Median 75th90th 95th99th
0.300 0.393 0.500 0.600 0.700 0.750 0.833
Highlighted player: 0.375 · approximate percentile: 10–25th
K% n=1229 · μ=18.1% · σ=9.6%
0.0%
●
79
5.1%
193
10.3%
247
15.4%
257
20.5%
202
25.6%
114
30.8%
87
35.9%
25
41.0%
11
46.2%
10
51.3%
1
56.4%
3
10th25th Median 75th90th 95th99th
6.7% 11.1% 17.1% 23.5% 30.8% 35.3% 46.2%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
BB% n=1229 · μ=10.4% · σ=6.8%
0.0%
143
3.0%
202
6.0%
216
8.9%
197
11.9%
180
14.9%
125
17.9%
73
20.8%
●
49
23.8%
23
26.8%
11
29.8%
6
32.7%
4
10th25th Median 75th90th 95th99th
0.0% 5.6% 9.8% 14.7% 19.5% 22.7% 29.4%
Highlighted player: 21.4% · approximate percentile: 90–95th
2C-RBI% n=1229 · μ=4.6% · σ=10.4%
0.0%
●
966
8.3%
126
16.7%
70
25.0%
29
33.3%
21
41.7%
1
50.0%
11
58.3%
0
66.7%
1
75.0%
1
83.3%
0
91.7%
3
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 5.6% 16.7% 25.0% 50.0%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
2C-Conv% n=1229 · μ=30.5% · σ=45.4%
0.0%
●
842
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
20
58.3%
0
66.7%
6
75.0%
2
83.3%
0
91.7%
359
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
MhAB% n=1229 · μ=0.5% · σ=1.5%
0.0%
●
1103
1.4%
19
2.8%
54
4.2%
24
5.6%
17
6.9%
4
8.3%
2
9.7%
3
11.1%
1
12.5%
0
13.9%
0
15.3%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 2.0% 3.7% 6.7%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
RISP-AVG n=1229 · μ=0.355 · σ=0.148
0.000
19
0.071
63
0.143
128
0.214
189
0.286
233
0.357
●
207
0.429
161
0.500
126
0.571
60
0.643
31
0.714
10
0.786
2
10th25th Median 75th90th 95th99th
0.167 0.250 0.346 0.455 0.551 0.615 0.700
Highlighted player: 0.400 · approximate percentile: 50–75th
RISP-OPS n=1229 · μ=1.087 · σ=0.445
0.000
15
0.226
63
0.452
137
0.679
237
0.905
250
1.131
211
1.357
143
1.583
●
95
1.810
49
2.036
17
2.262
8
2.488
4
10th25th Median 75th90th 95th99th
0.538 0.765 1.056 1.368 1.700 1.845 2.239
Highlighted player: 1.800 · approximate percentile: 90–95th
RISP-Conv n=1229 · μ=0.43 · σ=0.213
0.00
65
0.11
125
0.21
207
0.32
250
0.43
●
214
0.54
163
0.64
106
0.75
62
0.86
19
0.96
12
1.07
4
1.18
2
10th25th Median 75th90th 95th99th
0.17 0.28 0.42 0.57 0.71 0.79 1.00
Highlighted player: 0.50 · approximate percentile: 50–75th
WAR n=1229 · μ=0.12 · σ=0.311
-0.47
54
-0.24
409
-0.02
395
0.20
●
210
0.43
88
0.65
30
0.88
23
1.10
13
1.33
5
1.55
0
1.77
1
2.00
1
10th25th Median 75th90th 95th99th
-0.18 -0.09 0.05 0.24 0.50 0.69 1.26
Highlighted player: 0.26 · approximate percentile: 75–90th

Pitching distributions

wERA n=797 · μ=13.87 · σ=5.863
0.00
4
3.26
46
6.52
149
9.78
211
13.04
154
16.30
112
19.55
57
22.81
28
26.07
25
29.33
6
32.59
1
35.85
4
10th25th Median 75th90th 95th99th
7.36 9.78 12.86 17.20 21.44 25.89 30.69
xRA n=797 · μ=13.87 · σ=5.863
0.00
4
3.26
46
6.52
149
9.78
211
13.04
154
16.30
112
19.55
57
22.81
28
26.07
25
29.33
6
32.59
1
35.85
4
10th25th Median 75th90th 95th99th
7.36 9.78 12.86 17.20 21.44 25.89 30.69
Decay n=356 · μ=+3.0 · σ=23.397
-83.3
3
-69.5
1
-55.7
4
-41.9
25
-28.1
36
-14.2
82
-0.4
86
+13.4
71
+27.2
34
+41.0
9
+54.8
3
+68.6
2
10th25th Median 75th90th 95th99th
-27.2 -10.1 +2.4 +19.0 +30.8 +37.9 +59.2
GSc avg n=797 · μ=50.7 · σ=6.507
27.3
5
31.2
9
35.1
16
39.0
51
42.9
110
46.8
191
50.7
209
54.6
126
58.4
57
62.3
13
66.2
3
70.1
7
10th25th Median 75th90th 95th99th
42.9 47.0 51.0 54.7 58.4 60.4 68.8
GSc+ n=797 · μ=102 · σ=13.058
55
5
63
7
71
21
79
45
86
111
94
189
102
207
110
124
117
59
125
19
133
3
141
7
10th25th Median 75th90th 95th99th
87 95 103 110 118 123 137
FOP n=797 · μ=64 · σ=10.851
27
6
32
7
37
22
42
27
47
53
52
81
57
103
62
136
67
169
72
122
77
57
82
14
10th25th Median 75th90th 95th99th
49 57 65 71 76 79 82
OS+ n=797 · μ=124 · σ=65.752
38
104
67
235
96
180
126
109
155
47
185
39
214
29
243
16
273
15
302
6
332
8
361
9
10th25th Median 75th90th 95th99th
63 77 105 145 217 261 362
GE n=797 · μ=1.0 · σ=0.536
0.5
326
0.8
209
1.0
103
1.3
61
1.6
39
1.8
20
2.1
9
2.4
9
2.6
8
2.9
6
3.2
3
3.4
4
10th25th Median 75th90th 95th99th
0.5 0.7 0.9 1.1 1.6 2.0 3.1
K% n=797 · μ=24.9% · σ=9.2%
0.0%
7
4.9%
28
9.8%
66
14.7%
121
19.6%
191
24.5%
136
29.4%
127
34.3%
68
39.2%
31
44.1%
14
49.0%
7
53.9%
1
10th25th Median 75th90th 95th99th
13.4% 18.9% 24.1% 31.2% 37.2% 40.6% 47.9%
BB% n=797 · μ=10.5% · σ=5.2%
0.0%
34
2.4%
77
4.8%
97
7.1%
158
9.5%
131
11.9%
121
14.3%
71
16.7%
57
19.0%
28
21.4%
17
23.8%
4
26.2%
2
10th25th Median 75th90th 95th99th
4.2% 6.9% 10.0% 13.5% 17.6% 20.0% 23.1%
HR% n=797 · μ=3.2% · σ=3.5%
0.0%
322
1.4%
81
2.8%
125
4.2%
87
5.6%
67
6.9%
42
8.3%
31
9.7%
16
11.1%
9
12.5%
7
13.9%
4
15.3%
6
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.7% 5.2% 7.9% 9.8% 14.8%
K-BB% n=797 · μ=8.7% · σ=10.7%
-23.5%
4
-18.0%
10
-12.5%
34
-6.9%
75
-1.4%
162
4.1%
164
9.7%
147
15.2%
91
20.7%
60
26.3%
31
31.8%
12
37.3%
7
10th25th Median 75th90th 95th99th
-4.2% 1.3% 7.7% 15.3% 23.1% 27.5% 36.7%
oAVG n=797 · μ=0.393 · σ=0.105
0.000
2
0.056
0
0.113
13
0.169
32
0.226
65
0.282
135
0.339
165
0.395
151
0.452
123
0.508
68
0.565
34
0.621
9
10th25th Median 75th90th 95th99th
0.261 0.323 0.389 0.467 0.528 0.568 0.622
WAR n=797 · μ=0.19 · σ=0.323
-0.70
6
-0.48
40
-0.25
120
-0.03
261
0.20
230
0.42
84
0.64
28
0.87
12
1.09
8
1.31
4
1.54
1
1.76
3
10th25th Median 75th90th 95th99th
-0.15 -0.00 0.17 0.33 0.54 0.73 1.29
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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