Distributions

League-wide player histograms · 1496 games played · 1441 qualifying batters (29+ PA) · 935 qualifying pitchers (29+ outs)
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Player ID 6052 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=1441 · μ=0.298 · σ=0.111
0.033
12
0.087
69
0.141
184
0.194
255
0.248
260
0.302
242
0.355
167
0.409
130
0.463
74
0.516
34
0.570
11
0.624
3
10th25th Median 75th90th 95th99th
0.162 0.213 0.288 0.371 0.449 0.500 0.563
OPS n=1441 · μ=0.958 · σ=0.359
0.231
36
0.410
165
0.589
299
0.769
291
0.948
227
1.127
175
1.306
115
1.486
69
1.665
37
1.844
22
2.023
3
2.203
2
10th25th Median 75th90th 95th99th
0.544 0.680 0.897 1.186 1.464 1.630 1.912
OPS+ n=1441 · μ=103 · σ=37.566
28
45
46
174
65
296
84
267
102
237
121
169
140
132
159
58
177
39
196
15
215
8
233
1
10th25th Median 75th90th 95th99th
59 75 98 127 154 173 206
wOBA n=1441 · μ=0.455 · σ=0.203
0.085
73
0.190
274
0.295
317
0.400
284
0.505
183
0.610
135
0.715
91
0.820
44
0.925
24
1.030
12
1.135
2
1.240
1
10th25th Median 75th90th 95th99th
0.226 0.299 0.417 0.574 0.745 0.836 1.036
BAVG n=1441 · μ=0.357 · σ=0.136
0.045
16
0.109
78
0.172
199
0.236
260
0.300
256
0.363
210
0.427
162
0.490
127
0.554
71
0.617
45
0.681
12
0.744
5
10th25th Median 75th90th 95th99th
0.194 0.254 0.344 0.447 0.547 0.603 0.689
ISO n=1441 · μ=0.208 · σ=0.146
0.000
262
0.078
369
0.156
307
0.233
200
0.311
116
0.389
97
0.467
43
0.544
24
0.622
17
0.700
3
0.778
1
0.856
1
10th25th Median 75th90th 95th99th
0.051 0.100 0.174 0.287 0.419 0.483 0.652
BABIP n=1441 · μ=0.462 · σ=0.134
0.056
5
0.128
27
0.200
77
0.272
165
0.345
289
0.417
285
0.489
244
0.562
194
0.634
112
0.706
30
0.778
11
0.851
2
10th25th Median 75th90th 95th99th
0.289 0.368 0.458 0.556 0.639 0.684 0.774
K% n=1441 · μ=24.2% · σ=10.2%
1.4%
25
6.6%
143
11.8%
227
17.0%
237
22.2%
260
27.3%
241
32.5%
173
37.7%
85
42.9%
29
48.1%
14
53.3%
3
58.5%
4
10th25th Median 75th90th 95th99th
11.1% 16.0% 23.8% 31.4% 37.5% 40.6% 49.0%
BB% n=1441 · μ=13.2% · σ=5.1%
0.0%
8
2.6%
53
5.2%
164
7.9%
241
10.5%
284
13.1%
263
15.7%
211
18.3%
106
21.0%
63
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=1441 · μ=3.6% · σ=6.3%
0.0%
980
3.7%
148
7.4%
124
11.1%
98
14.8%
31
18.5%
31
22.2%
13
25.9%
8
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% 27.3%
2C-Conv% n=1441 · μ=38.1% · σ=47.7%
0.0%
873
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=1441 · μ=0.4% · σ=1.0%
0.0%
1208
0.6%
22
1.3%
83
1.9%
44
2.6%
35
3.2%
21
3.8%
18
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=1441 · μ=0.292 · σ=0.120
0.000
22
0.069
109
0.139
259
0.208
300
0.278
302
0.347
216
0.417
132
0.486
72
0.556
22
0.625
6
0.694
0
0.764
1
10th25th Median 75th90th 95th99th
0.146 0.200 0.286 0.375 0.459 0.508 0.580
RISP-OPS n=1441 · μ=0.947 · σ=0.376
0.100
15
0.309
135
0.519
330
0.728
300
0.937
273
1.146
174
1.356
113
1.565
60
1.774
30
1.983
7
2.193
2
2.402
2
10th25th Median 75th90th 95th99th
0.508 0.654 0.897 1.175 1.486 1.640 1.949
RISP-Conv n=1441 · μ=0.38 · σ=0.179
0.00
30
0.09
105
0.18
270
0.26
303
0.35
255
0.44
186
0.53
125
0.61
84
0.70
40
0.79
30
0.88
7
0.96
6
10th25th Median 75th90th 95th99th
0.18 0.25 0.36 0.49 0.63 0.72 0.86
WAR n=1441 · μ=0.26 · σ=0.660
-1.08
24
-0.64
328
-0.19
529
0.26
290
0.70
113
1.15
88
1.60
38
2.04
17
2.49
8
2.94
4
3.39
1
3.83
1
10th25th Median 75th90th 95th99th
-0.36 -0.18 0.10 0.52 1.19 1.55 2.45

Pitching distributions

wERA n=935 · μ=11.49 · σ=4.248
2.39
13
4.71
108
7.03
195
9.35
231
11.67
176
13.99
95
16.32
56
18.64
29
20.96
14
23.28
12
25.60
4
27.92
1
10th25th Median 75th90th 95th99th
6.75 8.53 10.86 13.57 17.43 19.21 25.00
xRA n=935 · μ=11.49 · σ=4.248
2.39
13
4.71
108
7.03
195
9.35
231
11.67
176
13.99
95
16.32
56
18.64
29
20.96
14
23.28
12
25.60
4
27.92
1
10th25th Median 75th90th 95th99th
6.75 8.53 10.86 13.57 17.43 19.21 25.00
Decay n=694 · μ=+1.1 · σ=21.219
-77.5
5
-64.7
7
-51.8
7
-39.0
34
-26.1
99
-13.3
176
-0.4
188
+12.4
100
+25.3
50
+38.1
19
+51.0
3
+63.8
6
10th25th Median 75th90th 95th99th
-23.9 -10.5 +1.0 +12.9 +26.8 +35.3 +58.7
GSc avg n=935 · μ=49.5 · σ=5.390
30.0
2
33.0
7
36.1
17
39.2
66
42.2
102
45.3
164
48.3
243
51.4
185
54.5
85
57.5
47
60.6
13
63.6
4
10th25th Median 75th90th 95th99th
42.3 46.4 49.7 52.9 56.3 58.4 61.8
GSc+ n=935 · μ=102 · σ=10.796
62
1
68
6
75
18
81
49
87
107
93
165
99
226
105
194
111
100
117
47
124
15
130
7
10th25th Median 75th90th 95th99th
89 96 102 109 115 120 127
FOP n=935 · μ=62 · σ=9.836
25
1
30
7
35
16
40
31
45
51
50
111
55
133
60
168
64
206
69
136
74
58
79
17
10th25th Median 75th90th 95th99th
49 55 63 69 73 76 81
OS+ n=935 · μ=122 · σ=57.204
41
97
66
235
90
212
115
134
139
68
164
48
188
52
212
32
237
27
261
19
286
6
310
5
10th25th Median 75th90th 95th99th
66 80 106 148 207 244 289
GE n=935 · μ=2.3 · σ=1.213
1.1
338
1.6
205
2.1
153
2.6
83
3.2
35
3.7
35
4.2
26
4.7
22
5.3
19
5.8
8
6.3
8
6.8
3
10th25th Median 75th90th 95th99th
1.2 1.4 1.9 2.7 4.1 5.0 6.4
K% n=935 · μ=33.3% · σ=8.8%
6.2%
2
11.2%
18
16.1%
49
21.0%
119
25.9%
188
30.9%
200
35.8%
166
40.7%
109
45.6%
54
50.5%
23
55.5%
6
60.4%
1
10th25th Median 75th90th 95th99th
22.3% 27.3% 32.9% 38.9% 45.2% 48.8% 54.8%
BB% n=935 · μ=13.3% · σ=4.5%
0.0%
8
2.6%
19
5.1%
60
7.7%
138
10.2%
207
12.8%
211
15.3%
144
17.9%
103
20.4%
31
23.0%
9
25.5%
2
28.1%
3
10th25th Median 75th90th 95th99th
7.8% 10.3% 13.2% 16.1% 19.1% 20.3% 24.2%
HR% n=935 · μ=2.6% · σ=2.4%
0.0%
282
1.2%
216
2.3%
164
3.5%
100
4.6%
72
5.8%
48
6.9%
19
8.1%
16
9.2%
7
10.4%
6
11.5%
3
12.7%
2
10th25th Median 75th90th 95th99th
0.0% 0.9% 2.1% 3.8% 5.9% 7.1% 10.6%
K-BB% n=935 · μ=12.9% · σ=10.5%
-14.1%
9
-8.9%
36
-3.7%
76
1.4%
143
6.6%
167
11.8%
196
16.9%
127
22.1%
91
27.3%
55
32.4%
20
37.6%
6
42.8%
8
10th25th Median 75th90th 95th99th
-0.9% 5.9% 12.5% 19.4% 27.1% 30.3% 41.3%
oAVG n=935 · μ=0.327 · σ=0.087
0.071
5
0.119
21
0.167
63
0.214
114
0.262
206
0.310
206
0.357
159
0.405
88
0.452
38
0.500
22
0.548
10
0.595
3
10th25th Median 75th90th 95th99th
0.217 0.270 0.324 0.380 0.437 0.477 0.553
WAR n=935 · μ=0.40 · σ=0.595
-1.21
6
-0.86
24
-0.51
90
-0.15
245
0.20
290
0.56
140
0.91
61
1.27
35
1.62
19
1.97
12
2.33
12
2.68
0
10th25th Median 75th90th 95th99th
-0.24 0.06 0.32 0.62 1.16 1.57 2.40
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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