Distributions

League-wide player histograms · 1054 games played · 1507 qualifying batters (20+ PA) · 974 qualifying pitchers (20+ outs)
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Marking Yoshiro Noguchi JB on every histogram below. Compare ↗

Batting distributions

PAVG n=1507 · μ=0.306 · σ=0.114
0.000
8
0.055
37
0.110
116
0.165
199
0.220
249
0.275
278
0.330
239
0.385
191
0.440
99
0.495
58
0.550
25
0.605
8
10th25th Median 75th90th 95th99th
0.161 0.225 0.300 0.387 0.455 0.500 0.581
OPS n=1507 · μ=0.980 · σ=0.360
0.095
9
0.277
75
0.459
184
0.640
288
0.822
317
1.004
239
1.186
175
1.367
104
1.549
64
1.731
37
1.912
11
2.094
4
10th25th Median 75th90th 95th99th
0.560 0.718 0.941 1.200 1.483 1.644 1.907
OPS+ n=1507 · μ=103 · σ=36.931
11
10
29
63
48
183
67
291
85
281
104
264
122
186
141
103
160
75
178
35
197
11
215
5
10th25th Median 75th90th 95th99th
59 76 99 125 154 170 197
wOBA n=1507 · μ=0.458 · σ=0.197
0.033
27
0.134
139
0.234
284
0.335
324
0.435
272
0.536
187
0.636
126
0.737
77
0.838
40
0.938
23
1.039
7
1.139
1
10th25th Median 75th90th 95th99th
0.228 0.311 0.429 0.575 0.735 0.828 0.989
BAVG n=1507 · μ=0.367 · σ=0.139
0.000
8
0.069
52
0.138
121
0.207
228
0.277
292
0.346
286
0.415
212
0.484
151
0.553
94
0.622
41
0.691
21
0.761
1
10th25th Median 75th90th 95th99th
0.192 0.263 0.357 0.464 0.559 0.613 0.704
ISO n=1507 · μ=0.213 · σ=0.147
0.000
264
0.075
326
0.149
312
0.224
230
0.299
160
0.374
91
0.448
60
0.523
39
0.598
15
0.672
8
0.747
1
0.822
1
10th25th Median 75th90th 95th99th
0.045 0.100 0.186 0.297 0.426 0.500 0.639
BABIP n=1507 · μ=0.470 · σ=0.145
0.000
2
0.076
17
0.152
55
0.227
106
0.303
226
0.379
299
0.455
275
0.530
264
0.606
164
0.682
65
0.758
24
0.833
10
10th25th Median 75th90th 95th99th
0.286 0.370 0.467 0.571 0.652 0.709 0.809
K% n=1507 · μ=23.4% · σ=10.8%
0.0%
38
5.6%
142
11.1%
263
16.7%
283
22.2%
270
27.8%
233
33.3%
154
38.9%
69
44.4%
29
50.0%
17
55.6%
4
61.1%
5
10th25th Median 75th90th 95th99th
10.0% 15.0% 22.7% 30.3% 37.5% 41.7% 52.2%
BB% n=1507 · μ=13.3% · σ=6.1%
0.0%
54
3.3%
137
6.7%
263
10.0%
328
13.3%
307
16.7%
203
20.0%
123
23.3%
56
26.7%
19
30.0%
13
33.3%
2
36.7%
2
10th25th Median 75th90th 95th99th
5.4% 9.1% 13.0% 17.1% 21.4% 23.9% 30.0%
2C-RBI% n=1507 · μ=3.8% · σ=8.1%
0.0%
1214
8.3%
190
16.7%
63
25.0%
22
33.3%
11
41.7%
1
50.0%
3
58.3%
0
66.7%
1
75.0%
0
83.3%
0
91.7%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 5.3% 13.5% 19.8% 33.3%
2C-Conv% n=1507 · μ=31.8% · σ=46.0%
0.0%
1013
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
21
58.3%
0
66.7%
11
75.0%
2
83.3%
0
91.7%
460
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1507 · μ=0.4% · σ=1.1%
0.0%
1324
0.7%
1
1.3%
41
2.0%
54
2.7%
24
3.3%
21
4.0%
11
4.7%
11
5.3%
11
6.0%
4
6.7%
3
7.3%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 1.9% 2.9% 5.6%
RISP-AVG n=1507 · μ=0.299 · σ=0.127
0.000
27
0.071
123
0.141
253
0.212
298
0.282
310
0.353
244
0.423
139
0.494
72
0.564
33
0.635
6
0.705
1
0.776
1
10th25th Median 75th90th 95th99th
0.143 0.206 0.294 0.381 0.467 0.520 0.600
RISP-OPS n=1507 · μ=0.963 · σ=0.385
0.000
9
0.189
50
0.378
153
0.567
276
0.756
303
0.944
255
1.133
203
1.322
111
1.511
78
1.700
44
1.889
16
2.078
9
10th25th Median 75th90th 95th99th
0.500 0.681 0.920 1.194 1.500 1.672 1.980
RISP-Conv n=1507 · μ=0.39 · σ=0.192
0.00
49
0.09
136
0.18
267
0.27
302
0.37
270
0.46
199
0.55
123
0.64
80
0.73
38
0.82
20
0.91
19
1.01
4
10th25th Median 75th90th 95th99th
0.17 0.25 0.36 0.50 0.65 0.74 0.94
WAR n=1507 · μ=0.18 · σ=0.434
-0.78
18
-0.52
112
-0.26
477
0.00
431
0.26
210
0.52
118
0.78
58
1.05
41
1.31
23
1.57
11
1.83
4
2.09
4
10th25th Median 75th90th 95th99th
-0.24 -0.11 0.09 0.35 0.75 1.07 1.63

Pitching distributions

wERA n=974 · μ=12.36 · σ=5.038
1.63
13
4.45
106
7.26
243
10.08
249
12.89
161
15.71
●
98
18.53
43
21.34
27
24.16
20
26.98
10
29.79
2
32.61
2
10th25th Median 75th90th 95th99th
6.84 8.85 11.41 14.91 18.92 22.39 27.91
Highlighted player: 16.00 · approximate percentile: 75–90th
xRA n=974 · μ=12.36 · σ=5.038
1.63
13
4.45
106
7.26
243
10.08
249
12.89
161
15.71
●
98
18.53
43
21.34
27
24.16
20
26.98
10
29.79
2
32.61
2
10th25th Median 75th90th 95th99th
6.84 8.85 11.41 14.91 18.92 22.39 27.91
Highlighted player: 16.00 · approximate percentile: 75–90th
Decay n=610 · μ=+2.3 · σ=23.484
-97.5
2
-82.2
2
-66.9
7
-51.6
17
-36.3
58
-21.1
132
-5.8
162
+9.5
127
+24.8
78
+40.0
17
+55.3
4
+70.6
●
4
10th25th Median 75th90th 95th99th
-26.4 -12.5 +3.4 +16.6 +31.0 +38.2 +56.2
Highlighted player: +999.9 · approximate percentile: ≥ 99th
GSc avg n=974 · μ=50.1 · σ=5.788
31.4
8
34.6
11
37.8
34
40.9
97
44.1
133
47.3
●
222
50.4
207
53.6
154
56.8
67
59.9
28
63.1
8
66.3
5
10th25th Median 75th90th 95th99th
42.7 46.4 50.3 53.8 57.1 59.4 64.3
Highlighted player: 47.7 · approximate percentile: 25–50th
GSc+ n=974 · μ=102 · σ=11.518
64
8
70
11
77
34
83
82
90
157
96
●
226
103
206
109
156
116
61
122
19
128
11
135
3
10th25th Median 75th90th 95th99th
87 94 102 109 115 120 131
Highlighted player: 97 · approximate percentile: 25–50th
FOP n=974 · μ=61 · σ=10.585
27
9
32
17
37
21
42
46
47
84
52
102
56
160
61
●
173
66
186
71
112
76
55
81
9
10th25th Median 75th90th 95th99th
47 55 63 69 74 77 80
Highlighted player: 66 · approximate percentile: 50–75th
OS+ n=974 · μ=122 · σ=59.168
38
95
65
254
91
●
232
118
146
145
81
171
51
198
32
225
39
251
20
278
12
305
5
331
4
10th25th Median 75th90th 95th99th
66 80 106 146 212 246 313
Highlighted player: 93 · approximate percentile: 25–50th
GE n=974 · μ=1.6 · σ=0.837
0.7
●
339
1.1
233
1.5
143
1.9
93
2.2
48
2.6
33
3.0
29
3.4
18
3.7
23
4.1
6
4.5
3
4.8
6
10th25th Median 75th90th 95th99th
0.9 1.0 1.4 1.9 2.8 3.5 4.4
Highlighted player: 0.8 · approximate percentile: ≤ 10th
K% n=974 · μ=32.0% · σ=9.6%
6.2%
9
10.9%
25
15.5%
65
20.1%
119
24.8%
184
29.4%
179
34.0%
●
164
38.6%
110
43.3%
58
47.9%
42
52.5%
12
57.1%
7
10th25th Median 75th90th 95th99th
20.0% 25.5% 31.6% 38.1% 44.9% 48.8% 56.1%
Highlighted player: 34.4% · approximate percentile: 50–75th
BB% n=974 · μ=13.2% · σ=5.1%
0.0%
18
2.8%
43
5.6%
●
85
8.3%
183
11.1%
227
13.9%
166
16.7%
146
19.4%
67
22.2%
23
25.0%
9
27.8%
6
30.6%
1
10th25th Median 75th90th 95th99th
6.8% 9.8% 12.9% 16.7% 19.6% 21.6% 25.9%
Highlighted player: 6.2% · approximate percentile: ≤ 10th
HR% n=974 · μ=2.7% · σ=2.8%
0.0%
358
1.4%
242
2.9%
●
135
4.3%
109
5.8%
59
7.2%
31
8.7%
17
10.1%
12
11.6%
8
13.0%
2
14.5%
0
15.9%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.2% 4.3% 6.4% 8.2% 11.6%
Highlighted player: 3.1% · approximate percentile: 50–75th
K-BB% n=974 · μ=11.5% · σ=11.5%
-21.6%
3
-15.9%
23
-10.2%
51
-4.5%
115
1.3%
150
7.0%
196
12.7%
●
187
18.4%
116
24.2%
67
29.9%
40
35.6%
20
41.3%
6
10th25th Median 75th90th 95th99th
-2.8% 3.6% 11.4% 18.7% 26.6% 31.4% 40.0%
Highlighted player: 15.6% · approximate percentile: 50–75th
oAVG n=974 · μ=0.342 · σ=0.097
0.053
4
0.103
9
0.154
52
0.204
110
0.254
184
0.305
213
0.355
●
165
0.406
112
0.456
72
0.507
33
0.557
16
0.607
4
10th25th Median 75th90th 95th99th
0.220 0.277 0.333 0.404 0.472 0.512 0.580
Highlighted player: 0.379 · approximate percentile: 50–75th
WAR n=974 · μ=0.28 · σ=0.448
-0.95
7
-0.68
33
-0.41
97
-0.15
●
221
0.12
296
0.39
158
0.66
77
0.92
37
1.19
33
1.46
9
1.73
1
2.00
5
10th25th Median 75th90th 95th99th
-0.21 0.01 0.22 0.50 0.86 1.19 1.53
Highlighted player: -0.04 · approximate percentile: 10–25th
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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