Distributions

League-wide player histograms · 1498 games played · 1445 qualifying batters (29+ PA) · 948 qualifying pitchers (29+ outs)
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Player ID 759 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1445 · μ=0.298 · σ=0.111
0.033
12
0.087
70
0.141
185
0.194
258
0.248
260
0.302
239
0.355
171
0.409
128
0.463
74
0.516
34
0.570
11
0.624
3
10th25th Median 75th90th 95th99th
0.162 0.213 0.286 0.372 0.449 0.500 0.563
OPS n=1445 · μ=0.956 · σ=0.359
0.231
35
0.410
172
0.589
297
0.769
295
0.948
221
1.127
176
1.306
114
1.486
71
1.665
38
1.844
21
2.023
3
2.203
2
10th25th Median 75th90th 95th99th
0.542 0.681 0.897 1.184 1.463 1.625 1.912
OPS+ n=1445 · μ=103 · σ=37.642
28
44
46
174
65
299
84
266
102
239
121
165
140
136
158
58
177
40
196
15
214
8
233
1
10th25th Median 75th90th 95th99th
59 75 98 127 155 175 206
wOBA n=1445 · μ=0.454 · σ=0.203
0.085
75
0.190
275
0.295
320
0.400
284
0.505
181
0.610
137
0.715
91
0.820
42
0.925
24
1.030
12
1.135
2
1.240
1
10th25th Median 75th90th 95th99th
0.227 0.299 0.416 0.574 0.744 0.836 1.036
BAVG n=1445 · μ=0.356 · σ=0.136
0.045
16
0.109
81
0.172
200
0.236
261
0.300
255
0.363
210
0.427
161
0.490
129
0.554
70
0.617
45
0.681
12
0.744
5
10th25th Median 75th90th 95th99th
0.194 0.250 0.343 0.446 0.547 0.603 0.689
ISO n=1445 · μ=0.207 · σ=0.146
0.000
265
0.078
368
0.156
313
0.233
196
0.311
117
0.389
97
0.467
43
0.544
23
0.622
17
0.700
3
0.778
1
0.856
1
10th25th Median 75th90th 95th99th
0.051 0.100 0.174 0.286 0.419 0.483 0.652
BABIP n=1445 · μ=0.461 · σ=0.133
0.056
5
0.128
27
0.200
78
0.272
165
0.345
290
0.417
290
0.489
241
0.562
193
0.634
114
0.706
29
0.778
10
0.851
3
10th25th Median 75th90th 95th99th
0.291 0.367 0.457 0.556 0.639 0.684 0.774
K% n=1445 · μ=24.3% · σ=10.2%
1.4%
25
6.6%
142
11.8%
230
17.0%
234
22.2%
259
27.3%
239
32.5%
178
37.7%
90
42.9%
26
48.1%
15
53.3%
3
58.5%
4
10th25th Median 75th90th 95th99th
11.2% 16.0% 23.8% 31.6% 37.5% 40.7% 49.1%
BB% n=1445 · μ=13.1% · σ=5.1%
0.0%
9
2.6%
53
5.2%
164
7.9%
246
10.5%
282
13.1%
265
15.7%
209
18.3%
107
21.0%
62
23.6%
29
26.2%
16
28.8%
3
10th25th Median 75th90th 95th99th
6.8% 9.4% 12.8% 16.4% 20.0% 22.5% 26.3%
2C-RBI% n=1445 · μ=3.6% · σ=6.3%
0.0%
984
3.7%
149
7.4%
124
11.1%
98
14.8%
30
18.5%
31
22.2%
14
25.9%
7
29.6%
2
33.3%
3
37.0%
2
40.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 6.2% 12.5% 16.7% 26.3%
2C-Conv% n=1445 · μ=38.0% · σ=47.7%
0.0%
877
8.3%
0
16.7%
0
25.0%
0
33.3%
1
41.7%
0
50.0%
22
58.3%
0
66.7%
17
75.0%
9
83.3%
1
91.7%
518
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1445 · μ=0.4% · σ=1.0%
0.0%
1211
0.6%
23
1.3%
83
1.9%
44
2.6%
35
3.2%
22
3.8%
17
4.5%
3
5.1%
2
5.8%
2
6.4%
1
7.1%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.7% 2.7% 4.2%
RISP-AVG n=1445 · μ=0.292 · σ=0.121
0.000
23
0.069
111
0.139
262
0.208
298
0.278
301
0.347
216
0.417
134
0.486
72
0.556
21
0.625
6
0.694
0
0.764
1
10th25th Median 75th90th 95th99th
0.143 0.200 0.286 0.372 0.460 0.508 0.580
RISP-OPS n=1445 · μ=0.945 · σ=0.377
0.100
15
0.309
138
0.519
328
0.728
306
0.937
271
1.146
174
1.356
111
1.565
61
1.774
30
1.983
7
2.193
2
2.402
2
10th25th Median 75th90th 95th99th
0.503 0.654 0.893 1.174 1.489 1.639 1.949
RISP-Conv n=1445 · μ=0.38 · σ=0.179
0.00
30
0.09
107
0.18
271
0.26
304
0.35
255
0.44
185
0.53
127
0.61
83
0.70
40
0.79
30
0.88
7
0.96
6
10th25th Median 75th90th 95th99th
0.18 0.25 0.35 0.49 0.63 0.72 0.86
WAR n=1445 · μ=0.26 · σ=0.662
-1.08
25
-0.64
332
-0.19
530
0.26
286
0.70
114
1.15
89
1.60
38
2.05
17
2.49
8
2.94
4
3.39
1
3.83
1
10th25th Median 75th90th 95th99th
-0.36 -0.19 0.10 0.51 1.20 1.55 2.45

Pitching distributions

wERA n=948 · μ=11.52 · σ=4.321
2.39
14
4.67
99
6.95
192
9.23
232
11.51
183
13.79
102
16.07
57
18.35
33
20.63
11
22.91
14
25.19
7
27.47
4
10th25th Median 75th90th 95th99th
6.77 8.56 10.83 13.57 17.67 19.28 25.49
xRA n=948 · μ=11.52 · σ=4.321
2.39
14
4.67
99
6.95
192
9.23
232
11.51
183
13.79
102
16.07
57
18.35
33
20.63
11
22.91
14
25.19
7
27.47
4
10th25th Median 75th90th 95th99th
6.77 8.56 10.83 13.57 17.67 19.28 25.49
Decay n=707 · μ=+1.0 · σ=21.075
-77.5
5
-64.6
7
-51.8
5
-39.0
38
-26.1
98
-13.3
183
-0.4
197
+12.4
96
+25.3
49
+38.1
19
+51.0
4
+63.8
6
10th25th Median 75th90th 95th99th
-24.0 -10.4 +0.9 +12.0 +26.9 +35.8 +57.3
GSc avg n=948 · μ=49.5 · σ=5.420
30.0
3
33.0
8
36.1
19
39.2
65
42.2
102
45.3
162
48.3
245
51.4
196
54.5
85
57.5
46
60.6
12
63.6
5
10th25th Median 75th90th 95th99th
42.2 46.4 49.7 52.9 56.1 58.3 61.6
GSc+ n=948 · μ=102 · σ=10.843
62
2
68
7
75
18
81
50
87
109
93
163
99
234
105
194
111
103
117
46
124
15
130
7
10th25th Median 75th90th 95th99th
88 96 103 109 115 119 127
FOP n=948 · μ=62 · σ=9.938
25
1
30
7
35
20
40
29
45
54
50
112
55
127
60
178
65
207
70
138
74
58
79
17
10th25th Median 75th90th 95th99th
48 55 63 69 73 76 81
OS+ n=948 · μ=121 · σ=56.967
41
101
66
242
90
210
114
136
139
68
163
48
188
55
212
33
236
24
261
20
285
6
309
5
10th25th Median 75th90th 95th99th
66 79 105 145 207 245 289
GE n=948 · μ=2.3 · σ=1.233
1.1
335
1.6
208
2.1
154
2.6
89
3.2
34
3.7
38
4.2
24
4.7
25
5.3
20
5.8
9
6.3
9
6.8
3
10th25th Median 75th90th 95th99th
1.2 1.4 1.9 2.7 4.1 5.2 6.5
K% n=948 · μ=33.3% · σ=8.8%
6.2%
2
11.2%
18
16.1%
54
21.0%
125
25.9%
187
30.9%
199
35.8%
170
40.7%
110
45.6%
54
50.5%
22
55.5%
6
60.4%
1
10th25th Median 75th90th 95th99th
22.2% 27.3% 32.7% 38.9% 45.1% 48.8% 54.6%
BB% n=948 · μ=13.3% · σ=4.5%
0.0%
8
2.6%
19
5.1%
59
7.7%
142
10.2%
211
12.8%
215
15.3%
145
17.9%
98
20.4%
35
23.0%
10
25.5%
4
28.1%
2
10th25th Median 75th90th 95th99th
7.8% 10.3% 13.2% 16.1% 19.2% 20.5% 24.8%
HR% n=948 · μ=2.6% · σ=2.4%
0.0%
289
1.2%
224
2.3%
160
3.5%
98
4.6%
71
5.8%
52
6.9%
21
8.1%
15
9.2%
7
10.4%
6
11.5%
3
12.7%
2
10th25th Median 75th90th 95th99th
0.0% 0.9% 2.1% 3.8% 6.0% 7.1% 10.6%
K-BB% n=948 · μ=12.8% · σ=10.6%
-13.6%
14
-8.4%
41
-3.3%
86
1.8%
136
6.9%
176
12.1%
188
17.2%
135
22.3%
89
27.4%
49
32.6%
19
37.7%
6
42.8%
9
10th25th Median 75th90th 95th99th
-1.3% 5.7% 12.5% 19.4% 26.5% 29.8% 41.2%
oAVG n=948 · μ=0.327 · σ=0.087
0.071
5
0.119
21
0.167
61
0.214
117
0.262
214
0.310
207
0.357
157
0.405
88
0.452
41
0.500
23
0.548
11
0.595
3
10th25th Median 75th90th 95th99th
0.217 0.270 0.321 0.380 0.438 0.481 0.559
WAR n=948 · μ=0.40 · σ=0.605
-1.22
7
-0.86
27
-0.51
89
-0.15
241
0.20
297
0.56
143
0.91
63
1.26
36
1.62
18
1.97
12
2.33
13
2.68
2
10th25th Median 75th90th 95th99th
-0.26 0.06 0.33 0.62 1.17 1.57 2.41
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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