Distributions

League-wide player histograms · 1679 games played · 1436 qualifying batters (32+ PA) · 960 qualifying pitchers (32+ outs)
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Player ID 5543 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1436 · μ=0.296 · σ=0.110
0.031
14
0.086
63
0.141
205
0.196
274
0.251
272
0.306
212
0.361
175
0.416
117
0.471
62
0.526
31
0.581
10
0.636
1
10th25th Median 75th90th 95th99th
0.163 0.213 0.283 0.370 0.450 0.492 0.561
OPS n=1436 · μ=0.949 · σ=0.358
0.216
28
0.392
154
0.568
295
0.744
290
0.920
232
1.096
165
1.271
113
1.447
90
1.623
38
1.799
23
1.975
5
2.151
3
10th25th Median 75th90th 95th99th
0.540 0.676 0.889 1.181 1.470 1.613 1.896
OPS+ n=1436 · μ=102 · σ=37.242
26
36
44
158
63
291
81
275
99
221
117
181
135
126
154
75
172
49
190
14
208
6
227
4
10th25th Median 75th90th 95th99th
59 74 96 127 154 172 201
wOBA n=1436 · μ=0.451 · σ=0.201
0.076
55
0.180
245
0.283
333
0.386
290
0.489
192
0.593
131
0.696
97
0.799
51
0.903
26
1.006
10
1.109
4
1.212
2
10th25th Median 75th90th 95th99th
0.228 0.298 0.410 0.576 0.744 0.832 1.011
BAVG n=1436 · μ=0.352 · σ=0.136
0.042
15
0.105
79
0.169
194
0.233
268
0.296
267
0.360
197
0.424
168
0.487
114
0.551
81
0.615
34
0.678
17
0.742
2
10th25th Median 75th90th 95th99th
0.193 0.250 0.333 0.441 0.543 0.600 0.685
ISO n=1436 · μ=0.204 · σ=0.143
0.000
288
0.083
403
0.167
306
0.250
193
0.333
106
0.417
74
0.500
38
0.583
20
0.667
6
0.750
0
0.833
0
0.917
2
10th25th Median 75th90th 95th99th
0.053 0.098 0.172 0.280 0.414 0.480 0.641
BABIP n=1436 · μ=0.461 · σ=0.130
0.043
3
0.113
15
0.183
52
0.253
148
0.323
229
0.393
303
0.463
252
0.533
220
0.603
139
0.673
59
0.743
11
0.812
5
10th25th Median 75th90th 95th99th
0.294 0.367 0.456 0.556 0.635 0.676 0.750
K% n=1436 · μ=24.7% · σ=10.2%
2.6%
40
7.6%
141
12.6%
215
17.5%
235
22.5%
246
27.5%
208
32.5%
201
37.5%
96
42.5%
29
47.5%
19
52.5%
4
57.5%
2
10th25th Median 75th90th 95th99th
11.4% 16.7% 24.4% 32.4% 37.8% 41.2% 50.0%
BB% n=1436 · μ=13.2% · σ=4.9%
0.0%
11
2.8%
49
5.6%
164
8.3%
272
11.1%
338
13.9%
255
16.7%
186
19.4%
98
22.2%
43
25.0%
17
27.8%
2
30.6%
1
10th25th Median 75th90th 95th99th
7.1% 9.4% 12.8% 16.3% 19.7% 21.9% 25.5%
2C-RBI% n=1436 · μ=3.6% · σ=6.0%
0.0%
955
3.7%
170
7.4%
142
11.1%
82
14.8%
36
18.5%
24
22.2%
13
25.9%
9
29.6%
0
33.3%
3
37.0%
1
40.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 11.8% 16.7% 25.0%
2C-Conv% n=1436 · μ=39.7% · σ=48.0%
0.0%
844
8.3%
0
16.7%
0
25.0%
0
33.3%
2
41.7%
0
50.0%
25
58.3%
1
66.7%
13
75.0%
14
83.3%
3
91.7%
534
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1436 · μ=0.4% · σ=0.9%
0.0%
1186
0.6%
46
1.3%
89
1.9%
53
2.6%
28
3.2%
20
3.8%
1
4.5%
8
5.1%
2
5.8%
0
6.4%
0
7.1%
3
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.7% 2.5% 3.8%
RISP-AVG n=1436 · μ=0.288 · σ=0.120
0.000
24
0.070
119
0.140
271
0.210
317
0.280
286
0.350
188
0.420
147
0.490
66
0.560
15
0.630
1
0.700
1
0.770
0
10th25th Median 75th90th 95th99th
0.142 0.200 0.275 0.367 0.458 0.500 0.567
RISP-OPS n=1436 · μ=0.933 · σ=0.376
0.097
15
0.299
145
0.501
287
0.703
320
0.905
252
1.106
172
1.308
121
1.510
75
1.712
36
1.914
9
2.116
2
2.318
2
10th25th Median 75th90th 95th99th
0.485 0.651 0.871 1.163 1.476 1.635 1.888
RISP-Conv n=1436 · μ=0.38 · σ=0.178
0.00
33
0.09
140
0.19
305
0.28
307
0.37
262
0.47
156
0.56
108
0.65
70
0.75
34
0.84
17
0.93
1
1.02
3
10th25th Median 75th90th 95th99th
0.18 0.24 0.35 0.48 0.63 0.71 0.85
WAR n=1436 · μ=0.29 · σ=0.752
-1.25
21
-0.75
276
-0.25
556
0.25
290
0.74
126
1.24
84
1.74
45
2.24
22
2.74
8
3.23
7
3.73
0
4.23
1
10th25th Median 75th90th 95th99th
-0.42 -0.21 0.09 0.59 1.36 1.82 2.78

Pitching distributions

wERA n=960 · μ=11.47 · σ=4.230
2.76
20
5.17
135
7.59
244
10.00
240
12.41
154
14.82
76
17.23
44
19.64
25
22.05
12
24.46
3
26.87
2
29.29
5
10th25th Median 75th90th 95th99th
6.80 8.49 10.78 13.52 17.12 19.48 24.42
xRA n=960 · μ=11.47 · σ=4.230
2.76
20
5.17
135
7.59
244
10.00
240
12.41
154
14.82
76
17.23
44
19.64
25
22.05
12
24.46
3
26.87
2
29.29
5
10th25th Median 75th90th 95th99th
6.80 8.49 10.78 13.52 17.12 19.48 24.42
Decay n=733 · μ=+0.6 · σ=20.476
-77.6
5
-64.6
5
-51.7
9
-38.8
40
-25.9
110
-13.0
185
-0.1
210
+12.9
97
+25.8
51
+38.7
13
+51.6
3
+64.5
5
10th25th Median 75th90th 95th99th
-23.5 -11.2 +0.8 +11.3 +25.4 +34.4 +52.0
GSc avg n=960 · μ=49.3 · σ=5.255
30.5
1
33.4
7
36.4
29
39.4
64
42.3
95
45.3
178
48.3
243
51.2
192
54.2
90
57.2
39
60.1
17
63.1
5
10th25th Median 75th90th 95th99th
42.2 46.4 49.6 52.7 55.9 57.8 61.8
GSc+ n=960 · μ=102 · σ=10.439
64
1
70
8
76
24
81
50
87
97
93
173
99
251
105
183
111
102
117
48
123
16
129
7
10th25th Median 75th90th 95th99th
88 96 102 109 115 119 127
FOP n=960 · μ=62 · σ=9.721
25
2
30
5
34
18
39
27
44
52
49
101
54
123
59
181
64
222
69
146
74
63
79
20
10th25th Median 75th90th 95th99th
49 56 63 68 73 76 80
OS+ n=960 · μ=120 · σ=56.086
41
105
65
224
89
230
113
137
138
73
162
46
186
51
210
40
235
25
259
18
283
7
307
4
10th25th Median 75th90th 95th99th
64 79 104 143 208 241 285
GE n=960 · μ=2.5 · σ=1.358
1.2
357
1.8
203
2.3
147
2.9
89
3.5
40
4.1
30
4.7
25
5.2
34
5.8
13
6.4
12
7.0
7
7.6
3
10th25th Median 75th90th 95th99th
1.3 1.6 2.1 3.0 4.6 5.6 7.0
K% n=960 · μ=33.4% · σ=8.5%
9.6%
6
14.3%
32
18.9%
73
23.5%
159
28.2%
201
32.8%
198
37.5%
143
42.1%
88
46.7%
42
51.4%
10
56.0%
6
60.7%
2
10th25th Median 75th90th 95th99th
22.6% 27.6% 33.0% 38.8% 44.5% 47.9% 54.2%
BB% n=960 · μ=13.3% · σ=4.2%
2.0%
16
4.3%
31
6.5%
74
8.7%
167
10.9%
189
13.2%
200
15.4%
130
17.6%
90
19.9%
40
22.1%
14
24.3%
6
26.5%
3
10th25th Median 75th90th 95th99th
8.2% 10.3% 13.2% 15.9% 18.9% 20.3% 24.2%
HR% n=960 · μ=2.6% · σ=2.3%
0.0%
280
1.2%
229
2.3%
171
3.5%
118
4.6%
68
5.8%
46
6.9%
21
8.1%
7
9.2%
9
10.4%
6
11.5%
3
12.7%
2
10th25th Median 75th90th 95th99th
0.0% 0.9% 2.1% 3.8% 5.7% 6.9% 10.6%
K-BB% n=960 · μ=12.9% · σ=10.1%
-19.2%
1
-13.6%
11
-8.0%
42
-2.4%
92
3.2%
189
8.7%
230
14.3%
167
19.9%
122
25.5%
69
31.1%
20
36.7%
11
42.2%
6
10th25th Median 75th90th 95th99th
0.0% 6.0% 12.5% 19.3% 26.3% 29.2% 40.5%
oAVG n=960 · μ=0.326 · σ=0.085
0.095
6
0.141
30
0.187
87
0.233
166
0.279
209
0.324
198
0.370
127
0.416
70
0.462
39
0.508
19
0.554
6
0.599
3
10th25th Median 75th90th 95th99th
0.219 0.268 0.321 0.380 0.435 0.475 0.550
WAR n=960 · μ=0.43 · σ=0.649
-1.13
14
-0.78
40
-0.44
99
-0.09
242
0.25
294
0.60
116
0.94
63
1.28
35
1.63
23
1.97
13
2.32
13
2.66
8
10th25th Median 75th90th 95th99th
-0.26 0.05 0.33 0.66 1.26 1.79 2.55
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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