Distributions

League-wide player histograms · 1900 games played · 1404 qualifying batters (37+ PA) · 923 qualifying pitchers (37+ outs)
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Marking Bryce Czeremcha KP on every histogram below. Compare ↗

Batting distributions

PAVG n=1404 · μ=0.291 · σ=0.109
0.045
17
0.099
96
0.153
222
0.206
283
0.260
253
0.314
●
186
0.367
152
0.421
105
0.474
57
0.528
29
0.582
3
0.635
1
10th25th Median 75th90th 95th99th
0.162 0.209 0.275 0.366 0.443 0.491 0.559
Highlighted player: 0.327 · approximate percentile: 50–75th
OPS n=1404 · μ=0.937 · σ=0.356
0.186
15
0.371
147
0.556
327
0.741
297
0.926
●
230
1.111
150
1.296
112
1.481
69
1.667
35
1.852
18
2.037
2
2.222
2
10th25th Median 75th90th 95th99th
0.541 0.670 0.870 1.159 1.444 1.601 1.898
Highlighted player: 0.927 · approximate percentile: 50–75th
OPS+ n=1404 · μ=102 · σ=37.428
23
19
42
126
60
305
79
279
97
●
229
116
177
135
117
153
78
172
43
191
21
209
7
228
2
10th25th Median 75th90th 95th99th
60 74 95 126 156 172 203
Highlighted player: 114 · approximate percentile: 50–75th
wOBA n=1404 · μ=0.447 · σ=0.201
0.065
48
0.180
305
0.296
377
0.411
●
261
0.526
167
0.641
122
0.756
70
0.871
29
0.987
21
1.102
2
1.217
1
1.332
1
10th25th Median 75th90th 95th99th
0.230 0.295 0.402 0.563 0.738 0.826 1.014
Highlighted player: 0.444 · approximate percentile: 50–75th
BAVG n=1404 · μ=0.346 · σ=0.134
0.054
17
0.116
95
0.178
214
0.239
273
0.301
●
238
0.363
180
0.424
159
0.486
101
0.548
62
0.610
51
0.671
12
0.733
2
10th25th Median 75th90th 95th99th
0.189 0.246 0.324 0.439 0.535 0.602 0.670
Highlighted player: 0.360 · approximate percentile: 50–75th
ISO n=1404 · μ=0.202 · σ=0.142
0.000
325
0.095
●
471
0.189
278
0.284
154
0.379
104
0.473
43
0.568
19
0.662
8
0.757
0
0.852
1
0.946
0
1.041
1
10th25th Median 75th90th 95th99th
0.053 0.100 0.167 0.271 0.410 0.478 0.627
Highlighted player: 0.182 · approximate percentile: 50–75th
BABIP n=1404 · μ=0.455 · σ=0.127
0.040
1
0.104
12
0.168
35
0.232
101
0.295
177
0.359
247
0.423
276
0.487
●
230
0.551
162
0.615
103
0.679
45
0.743
15
10th25th Median 75th90th 95th99th
0.292 0.367 0.452 0.543 0.625 0.667 0.745
Highlighted player: 0.514 · approximate percentile: 50–75th
K% n=1404 · μ=25.0% · σ=10.2%
3.3%
47
8.1%
133
12.9%
200
17.7%
210
22.5%
●
230
27.3%
216
32.1%
186
36.9%
115
41.7%
43
46.6%
16
51.4%
4
56.2%
4
10th25th Median 75th90th 95th99th
11.6% 17.0% 24.7% 32.6% 38.1% 41.4% 48.6%
Highlighted player: 27.3% · approximate percentile: 50–75th
BB% n=1404 · μ=13.2% · σ=4.7%
0.0%
8
2.5%
36
5.1%
112
7.6%
●
214
10.1%
302
12.6%
285
15.2%
210
17.7%
135
20.2%
58
22.8%
32
25.3%
9
27.8%
3
10th25th Median 75th90th 95th99th
7.4% 9.9% 12.8% 16.2% 19.1% 21.2% 24.8%
Highlighted player: 9.1% · approximate percentile: 10–25th
2C-RBI% n=1404 · μ=3.5% · σ=5.6%
0.0%
●
918
3.7%
189
7.4%
151
11.1%
75
14.8%
31
18.5%
15
22.2%
16
25.9%
6
29.6%
1
33.3%
1
37.0%
0
40.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 11.1% 14.8% 25.0%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
2C-Conv% n=1404 · μ=42.3% · σ=48.3%
0.0%
785
8.3%
0
16.7%
0
25.0%
0
33.3%
3
41.7%
0
50.0%
29
58.3%
1
66.7%
12
75.0%
16
83.3%
6
91.7%
●
552
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
Highlighted player: 100.0% · approximate percentile: 50–75th
MhAB% n=1404 · μ=0.4% · σ=0.9%
0.0%
1147
0.5%
35
1.1%
83
1.6%
●
48
2.2%
52
2.7%
19
3.2%
8
3.8%
2
4.3%
4
4.9%
4
5.4%
1
6.0%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.6% 2.3% 3.5%
Highlighted player: 2.0% · approximate percentile: 90–95th
RISP-AVG n=1404 · μ=0.283 · σ=0.118
0.000
19
0.071
129
0.141
282
0.212
331
0.282
●
261
0.353
178
0.423
131
0.494
59
0.564
11
0.635
2
0.705
0
0.776
1
10th25th Median 75th90th 95th99th
0.139 0.194 0.269 0.359 0.447 0.500 0.562
Highlighted player: 0.286 · approximate percentile: 50–75th
RISP-OPS n=1404 · μ=0.921 · σ=0.370
0.094
14
0.304
144
0.514
335
0.724
●
307
0.934
257
1.144
147
1.355
114
1.565
50
1.775
27
1.985
7
2.195
0
2.405
2
10th25th Median 75th90th 95th99th
0.500 0.647 0.860 1.140 1.448 1.609 1.939
Highlighted player: 0.816 · approximate percentile: 25–50th
RISP-Conv n=1404 · μ=0.37 · σ=0.173
0.00
30
0.10
154
0.19
●
304
0.29
348
0.38
237
0.48
143
0.58
96
0.67
58
0.77
22
0.87
8
0.96
2
1.06
2
10th25th Median 75th90th 95th99th
0.18 0.25 0.34 0.47 0.62 0.71 0.85
Highlighted player: 0.24 · approximate percentile: 10–25th
WAR n=1404 · μ=0.33 · σ=0.868
-1.29
27
-0.78
286
-0.28
●
498
0.23
262
0.73
127
1.23
80
1.74
70
2.24
25
2.75
14
3.25
8
3.76
5
4.26
2
10th25th Median 75th90th 95th99th
-0.48 -0.25 0.08 0.66 1.61 2.08 3.26
Highlighted player: 0.21 · approximate percentile: 50–75th

Pitching distributions

wERA n=923 · μ=11.19 · σ=3.970
3.31
33
5.66
153
8.01
260
10.36
202
12.71
133
15.06
70
17.41
42
19.75
19
22.10
6
24.45
2
26.80
1
29.15
2
10th25th Median 75th90th 95th99th
6.81 8.36 10.56 13.29 16.57 18.97 22.95
xRA n=923 · μ=11.19 · σ=3.970
3.31
33
5.66
153
8.01
260
10.36
202
12.71
133
15.06
70
17.41
42
19.75
19
22.10
6
24.45
2
26.80
1
29.15
2
10th25th Median 75th90th 95th99th
6.81 8.36 10.56 13.29 16.57 18.97 22.95
Decay n=731 · μ=+0.9 · σ=19.287
-77.6
3
-65.0
5
-52.4
4
-39.8
30
-27.2
96
-14.7
167
-2.1
231
+10.5
116
+23.1
50
+35.7
21
+48.3
4
+60.9
4
10th25th Median 75th90th 95th99th
-22.1 -10.5 +0.9 +11.4 +24.6 +32.1 +49.6
GSc avg n=923 · μ=49.3 · σ=5.098
33.1
5
35.8
15
38.5
36
41.2
88
44.0
127
46.7
185
49.4
211
52.1
141
54.8
68
57.6
30
60.3
12
63.0
5
10th25th Median 75th90th 95th99th
42.6 46.1 49.4 52.4 55.6 57.6 61.2
GSc+ n=923 · μ=102 · σ=10.094
69
4
75
11
80
37
86
68
91
146
97
207
103
209
108
131
114
66
119
29
125
11
131
4
10th25th Median 75th90th 95th99th
89 96 102 108 115 119 126
FOP n=923 · μ=62 · σ=9.610
24
3
29
2
34
17
39
23
44
47
49
93
54
125
59
184
64
207
69
145
74
59
79
18
10th25th Median 75th90th 95th99th
49 56 63 68 73 75 80
OS+ n=923 · μ=121 · σ=56.059
37
69
61
209
85
226
109
144
134
77
158
55
182
41
206
42
231
33
255
17
279
8
303
2
10th25th Median 75th90th 95th99th
64 80 104 145 211 243 279
GE n=923 · μ=2.9 · σ=1.539
1.4
342
2.0
198
2.7
138
3.4
84
4.1
43
4.8
32
5.4
29
6.1
24
6.8
18
7.5
8
8.1
5
8.8
2
10th25th Median 75th90th 95th99th
1.5 1.7 2.4 3.5 5.2 6.4 7.9
K% n=923 · μ=33.9% · σ=8.2%
13.3%
16
17.6%
49
21.9%
89
26.3%
170
30.6%
204
34.9%
160
39.3%
119
43.6%
69
48.0%
34
52.3%
9
56.6%
3
61.0%
1
10th25th Median 75th90th 95th99th
23.8% 28.1% 33.3% 39.3% 44.5% 48.0% 53.5%
BB% n=923 · μ=13.4% · σ=4.0%
2.2%
11
4.2%
19
6.2%
46
8.2%
129
10.2%
160
12.2%
185
14.2%
158
16.2%
106
18.2%
64
20.2%
29
22.2%
11
24.2%
5
10th25th Median 75th90th 95th99th
8.4% 10.5% 13.2% 16.0% 18.6% 20.1% 23.3%
HR% n=923 · μ=2.6% · σ=2.2%
0.0%
275
1.3%
261
2.5%
177
3.8%
94
5.1%
57
6.4%
28
7.6%
13
8.9%
10
10.2%
5
11.5%
2
12.7%
0
14.0%
1
10th25th Median 75th90th 95th99th
0.0% 1.1% 2.1% 3.6% 5.5% 6.8% 9.9%
K-BB% n=923 · μ=13.5% · σ=9.8%
-11.4%
13
-6.5%
42
-1.6%
84
3.4%
153
8.3%
177
13.3%
172
18.2%
127
23.1%
89
28.1%
42
33.0%
13
38.0%
6
42.9%
5
10th25th Median 75th90th 95th99th
1.2% 6.6% 13.1% 19.9% 26.6% 29.5% 39.1%
oAVG n=923 · μ=0.320 · σ=0.082
0.116
18
0.161
58
0.206
115
0.251
186
0.296
202
0.341
156
0.386
100
0.432
57
0.477
21
0.522
9
0.567
0
0.612
1
10th25th Median 75th90th 95th99th
0.217 0.261 0.316 0.372 0.430 0.461 0.522
WAR n=923 · μ=0.50 · σ=0.724
-1.23
13
-0.82
45
-0.40
139
0.01
296
0.43
225
0.84
85
1.25
50
1.67
32
2.08
17
2.50
13
2.91
6
3.33
1
10th25th Median 75th90th 95th99th
-0.26 0.07 0.39 0.77 1.48 2.00 2.80
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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