Distributions

League-wide player histograms · 1099 games played · 1492 qualifying batters (21+ PA) · 963 qualifying pitchers (21+ outs)
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Player ID 5376 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1492 · μ=0.306 · σ=0.113
0.000
8
0.054
36
0.108
98
0.161
192
0.215
247
0.269
286
0.323
235
0.377
181
0.431
111
0.484
55
0.538
32
0.592
11
10th25th Median 75th90th 95th99th
0.164 0.225 0.299 0.383 0.455 0.500 0.581
OPS n=1492 · μ=0.979 · σ=0.360
0.143
21
0.324
83
0.506
212
0.688
317
0.869
301
1.051
206
1.232
164
1.414
93
1.596
58
1.777
23
1.959
13
2.140
1
10th25th Median 75th90th 95th99th
0.549 0.719 0.939 1.211 1.481 1.646 1.912
OPS+ n=1492 · μ=103 · σ=36.835
16
20
35
79
54
213
72
307
91
269
109
251
128
169
147
90
165
55
184
27
202
9
221
2
10th25th Median 75th90th 95th99th
58 76 99 125 154 169 197
wOBA n=1492 · μ=0.461 · σ=0.198
0.051
39
0.152
162
0.253
298
0.354
318
0.454
252
0.555
174
0.656
116
0.757
73
0.857
35
0.958
16
1.059
8
1.160
1
10th25th Median 75th90th 95th99th
0.229 0.314 0.428 0.582 0.733 0.840 0.992
BAVG n=1492 · μ=0.366 · σ=0.138
0.000
8
0.065
35
0.130
104
0.195
203
0.260
261
0.325
276
0.390
221
0.455
169
0.520
106
0.585
64
0.650
33
0.715
12
10th25th Median 75th90th 95th99th
0.195 0.267 0.356 0.459 0.553 0.613 0.704
ISO n=1492 · μ=0.213 · σ=0.148
0.000
264
0.075
321
0.150
316
0.225
219
0.299
155
0.374
97
0.449
58
0.524
36
0.599
17
0.674
6
0.749
2
0.823
0
10th25th Median 75th90th 95th99th
0.045 0.100 0.184 0.298 0.429 0.500 0.634
BABIP n=1492 · μ=0.470 · σ=0.141
0.000
1
0.076
18
0.152
45
0.227
110
0.303
222
0.379
297
0.455
290
0.530
251
0.606
162
0.682
72
0.758
19
0.833
5
10th25th Median 75th90th 95th99th
0.292 0.370 0.467 0.568 0.650 0.703 0.784
K% n=1492 · μ=23.4% · σ=10.7%
0.0%
34
5.6%
144
11.1%
254
16.7%
274
22.2%
279
27.8%
228
33.3%
160
38.9%
67
44.4%
27
50.0%
17
55.6%
2
61.1%
6
10th25th Median 75th90th 95th99th
10.2% 15.0% 22.7% 30.5% 37.5% 41.7% 52.2%
BB% n=1492 · μ=13.3% · σ=5.9%
0.0%
36
2.9%
110
5.8%
183
8.7%
261
11.5%
318
14.4%
229
17.3%
175
20.2%
93
23.1%
48
26.0%
22
28.8%
11
31.7%
6
10th25th Median 75th90th 95th99th
5.9% 9.1% 13.0% 16.9% 21.1% 23.6% 30.0%
2C-RBI% n=1492 · μ=3.7% · σ=7.5%
0.0%
1200
8.3%
189
16.7%
64
25.0%
23
33.3%
11
41.7%
1
50.0%
3
58.3%
0
66.7%
0
75.0%
0
83.3%
0
91.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 5.6% 13.3% 19.0% 33.3%
2C-Conv% n=1492 · μ=32.8% · σ=46.4%
0.0%
987
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
21
58.3%
0
66.7%
12
75.0%
3
83.3%
0
91.7%
469
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1492 · μ=0.4% · σ=1.1%
0.0%
1300
0.7%
1
1.3%
53
2.0%
54
2.7%
23
3.3%
20
4.0%
16
4.7%
9
5.3%
7
6.0%
5
6.7%
2
7.3%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.9% 2.9% 5.4%
RISP-AVG n=1492 · μ=0.299 · σ=0.125
0.000
24
0.067
92
0.133
216
0.200
298
0.267
277
0.333
262
0.400
163
0.467
104
0.533
40
0.600
11
0.667
3
0.733
2
10th25th Median 75th90th 95th99th
0.143 0.205 0.293 0.382 0.468 0.520 0.601
RISP-OPS n=1492 · μ=0.963 · σ=0.384
0.000
10
0.206
69
0.411
186
0.617
343
0.822
292
1.028
255
1.233
156
1.439
87
1.644
63
1.850
23
2.056
7
2.261
1
10th25th Median 75th90th 95th99th
0.514 0.680 0.914 1.194 1.512 1.684 1.975
RISP-Conv n=1492 · μ=0.39 · σ=0.190
0.00
45
0.09
129
0.18
271
0.27
305
0.37
258
0.46
197
0.55
125
0.64
82
0.73
35
0.82
26
0.91
16
1.01
3
10th25th Median 75th90th 95th99th
0.17 0.25 0.36 0.50 0.65 0.75 0.93
WAR n=1492 · μ=0.19 · σ=0.457
-0.84
13
-0.57
93
-0.29
451
-0.02
438
0.26
223
0.53
124
0.81
65
1.08
44
1.36
23
1.63
9
1.90
5
2.18
4
10th25th Median 75th90th 95th99th
-0.25 -0.12 0.09 0.37 0.81 1.14 1.68

Pitching distributions

wERA n=963 · μ=12.27 · σ=4.938
3.04
40
5.74
162
8.44
261
11.14
210
13.84
130
16.54
73
19.24
36
21.94
21
24.64
20
27.34
6
30.03
2
32.73
2
10th25th Median 75th90th 95th99th
6.83 8.86 11.35 14.63 18.47 22.09 27.44
xRA n=963 · μ=12.27 · σ=4.938
3.04
40
5.74
162
8.44
261
11.14
210
13.84
130
16.54
73
19.24
36
21.94
21
24.64
20
27.34
6
30.03
2
32.73
2
10th25th Median 75th90th 95th99th
6.83 8.86 11.35 14.63 18.47 22.09 27.44
Decay n=621 · μ=+2.2 · σ=23.204
-97.5
2
-82.2
2
-66.9
8
-51.6
15
-36.4
57
-21.1
137
-5.8
169
+9.5
131
+24.8
75
+40.0
19
+55.3
2
+70.6
4
10th25th Median 75th90th 95th99th
-24.3 -12.5 +3.4 +16.3 +30.7 +37.1 +54.5
GSc avg n=963 · μ=49.8 · σ=5.693
31.1
6
34.1
10
37.2
32
40.2
78
43.3
122
46.3
185
49.4
229
52.5
168
55.5
78
58.6
36
61.6
12
64.7
7
10th25th Median 75th90th 95th99th
42.6 46.1 50.0 53.4 56.7 59.2 63.6
GSc+ n=963 · μ=102 · σ=11.399
64
6
70
10
76
32
82
65
89
135
95
202
101
226
107
162
114
74
120
29
126
19
132
3
10th25th Median 75th90th 95th99th
87 94 102 109 115 120 131
FOP n=963 · μ=61 · σ=10.454
27
9
32
15
37
15
41
42
46
76
51
98
56
148
60
172
65
191
70
117
75
63
80
17
10th25th Median 75th90th 95th99th
48 55 63 69 74 76 80
OS+ n=963 · μ=122 · σ=58.484
41
109
68
270
94
209
120
141
147
74
173
50
199
32
225
36
252
22
278
9
304
7
331
4
10th25th Median 75th90th 95th99th
66 79 106 145 212 245 308
GE n=963 · μ=1.7 · σ=0.863
0.8
329
1.2
231
1.6
151
1.9
85
2.3
49
2.7
39
3.1
25
3.5
18
3.9
20
4.3
6
4.7
6
5.1
4
10th25th Median 75th90th 95th99th
0.9 1.0 1.4 2.0 2.9 3.6 4.6
K% n=963 · μ=32.2% · σ=9.4%
6.2%
7
10.9%
21
15.5%
57
20.1%
123
24.8%
172
29.4%
182
34.0%
169
38.6%
113
43.3%
63
47.9%
38
52.5%
12
57.1%
6
10th25th Median 75th90th 95th99th
20.6% 25.8% 31.8% 38.3% 44.8% 48.6% 55.3%
BB% n=963 · μ=13.2% · σ=4.9%
0.0%
13
2.5%
32
4.9%
59
7.4%
131
9.8%
191
12.3%
182
14.8%
160
17.2%
107
19.7%
52
22.2%
23
24.6%
7
27.1%
6
10th25th Median 75th90th 95th99th
7.0% 10.0% 12.9% 16.7% 19.5% 21.5% 25.5%
HR% n=963 · μ=2.8% · σ=2.7%
0.0%
352
1.4%
245
2.9%
128
4.3%
111
5.8%
60
7.2%
27
8.7%
17
10.1%
13
11.6%
8
13.0%
1
14.5%
0
15.9%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.2% 4.3% 6.4% 8.2% 11.6%
K-BB% n=963 · μ=11.8% · σ=11.2%
-18.2%
8
-12.7%
29
-7.3%
72
-1.9%
129
3.6%
151
9.0%
207
14.4%
155
19.9%
94
25.3%
62
30.7%
35
36.2%
15
41.6%
4
10th25th Median 75th90th 95th99th
-2.4% 3.9% 11.5% 18.6% 26.4% 31.3% 40.2%
oAVG n=963 · μ=0.340 · σ=0.096
0.061
6
0.110
12
0.160
55
0.210
123
0.260
169
0.309
222
0.359
167
0.409
100
0.459
56
0.509
34
0.558
14
0.608
5
10th25th Median 75th90th 95th99th
0.219 0.274 0.333 0.400 0.470 0.512 0.580
WAR n=963 · μ=0.29 · σ=0.454
-0.96
7
-0.69
29
-0.42
91
-0.16
205
0.11
292
0.38
165
0.64
84
0.91
36
1.18
36
1.44
10
1.71
4
1.98
4
10th25th Median 75th90th 95th99th
-0.22 0.01 0.23 0.50 0.87 1.21 1.56
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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