Distributions

League-wide player histograms · 963 games played · 1526 qualifying batters (18+ PA) · 987 qualifying pitchers (18+ outs)
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Player ID 1676 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1526 · μ=0.307 · σ=0.116
0.000
17
0.059
54
0.118
133
0.177
230
0.236
290
0.295
294
0.354
228
0.413
145
0.472
82
0.531
42
0.590
10
0.649
1
10th25th Median 75th90th 95th99th
0.158 0.223 0.305 0.386 0.461 0.500 0.582
OPS n=1526 · μ=0.983 · σ=0.366
0.056
10
0.242
59
0.428
159
0.614
278
0.800
326
0.986
276
1.172
183
1.358
103
1.544
87
1.730
26
1.916
15
2.102
4
10th25th Median 75th90th 95th99th
0.550 0.722 0.947 1.200 1.500 1.665 1.946
OPS+ n=1526 · μ=102 · σ=37.106
6
10
25
47
44
159
63
269
81
307
100
281
119
206
138
122
157
59
176
44
194
16
213
5
10th25th Median 75th90th 95th99th
57 75 98 124 152 172 197
wOBA n=1526 · μ=0.456 · σ=0.196
0.020
18
0.121
123
0.222
270
0.323
339
0.423
283
0.524
204
0.625
133
0.726
80
0.827
50
0.928
16
1.028
7
1.129
3
10th25th Median 75th90th 95th99th
0.226 0.313 0.428 0.565 0.733 0.825 0.992
BAVG n=1526 · μ=0.368 · σ=0.141
0.000
16
0.071
56
0.142
128
0.212
237
0.283
305
0.354
275
0.425
213
0.496
151
0.567
90
0.637
41
0.708
11
0.779
3
10th25th Median 75th90th 95th99th
0.192 0.267 0.357 0.462 0.560 0.615 0.706
ISO n=1526 · μ=0.215 · σ=0.151
0.000
278
0.077
339
0.154
321
0.231
230
0.308
131
0.385
109
0.462
61
0.538
34
0.615
12
0.692
7
0.769
3
0.846
0
10th25th Median 75th90th 95th99th
0.047 0.102 0.188 0.299 0.427 0.508 0.643
BABIP n=1526 · μ=0.470 · σ=0.150
0.000
7
0.083
23
0.167
69
0.250
155
0.333
281
0.417
283
0.500
350
0.583
210
0.667
105
0.750
31
0.833
10
0.917
2
10th25th Median 75th90th 95th99th
0.277 0.364 0.471 0.571 0.656 0.714 0.800
K% n=1526 · μ=23.2% · σ=10.9%
0.0%
48
6.0%
190
12.0%
318
18.1%
291
24.1%
284
30.1%
207
36.1%
117
42.1%
41
48.1%
15
54.2%
9
60.2%
4
66.2%
2
10th25th Median 75th90th 95th99th
10.0% 15.0% 22.4% 30.4% 37.5% 41.9% 52.6%
BB% n=1526 · μ=13.2% · σ=6.3%
0.0%
63
3.3%
157
6.7%
234
10.0%
358
13.3%
294
16.7%
189
20.0%
129
23.3%
61
26.7%
20
30.0%
16
33.3%
4
36.7%
1
10th25th Median 75th90th 95th99th
5.3% 9.1% 12.8% 17.1% 21.4% 24.3% 30.4%
2C-RBI% n=1526 · μ=3.9% · σ=8.1%
0.0%
1224
8.3%
179
16.7%
69
25.0%
29
33.3%
18
41.7%
1
50.0%
4
58.3%
0
66.7%
1
75.0%
0
83.3%
0
91.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 5.0% 14.3% 20.0% 33.3%
2C-Conv% n=1526 · μ=30.6% · σ=45.6%
0.0%
1046
8.3%
0
16.7%
0
25.0%
0
33.3%
1
41.7%
0
50.0%
18
58.3%
0
66.7%
9
75.0%
1
83.3%
0
91.7%
451
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1526 · μ=0.4% · σ=1.2%
0.0%
1351
0.7%
0
1.3%
17
2.0%
63
2.7%
32
3.3%
16
4.0%
14
4.7%
7
5.3%
11
6.0%
5
6.7%
8
7.3%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 2.0% 3.0% 5.9%
RISP-AVG n=1526 · μ=0.301 · σ=0.130
0.000
28
0.062
85
0.125
182
0.188
251
0.250
293
0.312
258
0.375
198
0.438
110
0.500
72
0.562
33
0.625
13
0.688
3
10th25th Median 75th90th 95th99th
0.143 0.201 0.297 0.385 0.474 0.527 0.624
RISP-OPS n=1526 · μ=0.970 · σ=0.392
0.000
16
0.189
43
0.378
154
0.567
280
0.756
288
0.944
276
1.133
191
1.322
119
1.511
86
1.700
43
1.889
19
2.078
11
10th25th Median 75th90th 95th99th
0.500 0.680 0.933 1.200 1.525 1.687 2.000
RISP-Conv n=1526 · μ=0.40 · σ=0.200
0.00
70
0.11
203
0.22
346
0.33
335
0.43
256
0.54
146
0.65
91
0.76
41
0.87
24
0.98
11
1.08
2
1.19
1
10th25th Median 75th90th 95th99th
0.17 0.25 0.38 0.51 0.67 0.77 0.97
WAR n=1526 · μ=0.16 · σ=0.400
-0.74
12
-0.51
98
-0.27
433
-0.03
459
0.21
244
0.44
117
0.68
72
0.92
38
1.16
33
1.39
14
1.63
3
1.87
3
10th25th Median 75th90th 95th99th
-0.22 -0.11 0.08 0.33 0.71 1.00 1.44

Pitching distributions

wERA n=987 · μ=12.53 · σ=5.216
1.64
17
4.55
126
7.47
240
10.38
241
13.30
170
16.21
89
19.13
45
22.04
28
24.96
20
27.87
5
30.79
1
33.70
5
10th25th Median 75th90th 95th99th
6.89 8.93 11.59 15.10 19.45 22.81 28.10
xRA n=987 · μ=12.53 · σ=5.216
1.64
17
4.55
126
7.47
240
10.38
241
13.30
170
16.21
89
19.13
45
22.04
28
24.96
20
27.87
5
30.79
1
33.70
5
10th25th Median 75th90th 95th99th
6.89 8.93 11.59 15.10 19.45 22.81 28.10
Decay n=577 · μ=+2.7 · σ=23.302
-97.5
1
-82.3
1
-67.0
7
-51.7
19
-36.4
54
-21.2
121
-5.9
149
+9.4
121
+24.7
81
+40.0
16
+55.2
4
+70.5
3
10th25th Median 75th90th 95th99th
-26.5 -11.5 +3.3 +17.5 +31.1 +38.0 +57.7
GSc avg n=987 · μ=50.6 · σ=5.940
31.9
9
35.1
12
38.3
41
41.4
93
44.6
140
47.8
224
50.9
203
54.1
146
57.3
75
60.4
29
63.6
8
66.8
7
10th25th Median 75th90th 95th99th
42.9 46.9 50.7 54.3 58.0 60.0 65.9
GSc+ n=987 · μ=102 · σ=11.741
65
9
71
15
77
39
84
87
90
161
97
225
103
210
110
137
116
69
122
19
129
12
135
4
10th25th Median 75th90th 95th99th
87 94 102 109 116 120 131
FOP n=987 · μ=62 · σ=10.671
23
4
28
10
33
11
38
36
44
60
49
93
54
169
59
176
65
201
70
139
75
69
80
19
10th25th Median 75th90th 95th99th
47 55 62 69 74 77 82
OS+ n=987 · μ=123 · σ=60.932
35
85
62
257
89
221
116
169
144
87
171
52
198
33
226
33
253
21
280
14
308
5
335
10
10th25th Median 75th90th 95th99th
64 81 107 148 212 254 333
GE n=987 · μ=1.4 · σ=0.757
0.7
351
1.0
250
1.4
150
1.8
84
2.1
60
2.5
24
2.9
20
3.2
19
3.6
22
3.9
3
4.3
2
4.7
2
10th25th Median 75th90th 95th99th
0.7 0.9 1.2 1.7 2.4 3.1 3.9
K% n=987 · μ=31.8% · σ=9.9%
2.2%
7
7.7%
12
13.2%
66
18.7%
132
24.3%
209
29.8%
226
35.3%
167
40.8%
86
46.3%
56
51.9%
15
57.4%
7
62.9%
4
10th25th Median 75th90th 95th99th
19.7% 25.0% 31.2% 37.9% 44.9% 49.2% 57.6%
BB% n=987 · μ=13.3% · σ=5.4%
0.0%
17
2.8%
51
5.6%
89
8.3%
189
11.1%
209
13.9%
157
16.7%
153
19.4%
68
22.2%
30
25.0%
15
27.8%
8
30.6%
1
10th25th Median 75th90th 95th99th
6.7% 9.5% 12.9% 16.9% 20.0% 22.5% 27.5%
HR% n=987 · μ=2.8% · σ=2.9%
0.0%
373
1.4%
217
2.9%
157
4.3%
101
5.8%
61
7.2%
38
8.7%
15
10.1%
10
11.6%
8
13.0%
4
14.5%
1
15.9%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.2% 4.2% 6.7% 8.2% 12.5%
K-BB% n=987 · μ=11.2% · σ=11.9%
-21.6%
7
-15.5%
24
-9.3%
78
-3.1%
136
3.0%
190
9.2%
226
15.4%
149
21.5%
77
27.7%
63
33.9%
25
40.0%
10
46.2%
2
10th25th Median 75th90th 95th99th
-3.7% 3.2% 11.1% 18.4% 27.8% 31.9% 40.9%
oAVG n=987 · μ=0.344 · σ=0.100
0.053
5
0.103
15
0.153
56
0.204
102
0.254
184
0.305
197
0.355
169
0.405
120
0.456
77
0.506
40
0.556
17
0.607
4
10th25th Median 75th90th 95th99th
0.217 0.277 0.340 0.410 0.478 0.517 0.582
WAR n=987 · μ=0.26 · σ=0.410
-0.80
15
-0.55
42
-0.30
128
-0.06
291
0.19
256
0.44
116
0.69
78
0.93
28
1.18
20
1.43
7
1.68
3
1.93
3
10th25th Median 75th90th 95th99th
-0.20 0.01 0.20 0.46 0.77 1.04 1.50
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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