Distributions

League-wide player histograms · 489 games played · 1243 qualifying batters (12+ PA) · 808 qualifying pitchers (12+ outs)
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Marking Jari Mäkelä BNS on every histogram below. Compare ↗

Batting distributions

PAVG n=1243 · μ=0.366 · σ=0.129
0.000
10
0.065
24
0.130
72
0.194
161
0.259
219
0.324
198
0.389
223
0.454
185
0.519
94
0.583
40
0.648
12
0.713
4
10th25th Median 75th90th 95th99th
0.200 0.272 0.364 0.459 0.530 0.577 0.667
OPS n=1243 · μ=1.113 · σ=0.406
0.000
6
0.215
32
0.431
102
0.646
225
0.861
248
1.076
243
1.292
182
1.507
110
1.722
58
1.938
21
2.153
13
2.368
3
10th25th Median 75th90th 95th99th
0.625 0.824 1.081 1.364 1.667 1.807 2.196
OPS+ n=1243 · μ=101 · σ=36.499
0
6
18
30
37
80
55
183
74
235
92
243
111
199
129
136
148
73
166
36
184
16
203
6
10th25th Median 75th90th 95th99th
57 74 98 125 149 163 193
wOBA n=1243 · μ=0.484 · σ=0.237
0.000
46
0.120
131
0.240
233
0.361
260
0.481
243
0.601
129
0.721
97
0.842
61
0.962
20
1.082
13
1.202
8
1.323
2
10th25th Median 75th90th 95th99th
0.209 0.310 0.456 0.624 0.803 0.911 1.146
BAVG n=1243 · μ=0.418 · σ=0.148
0.000
11
0.075
23
0.150
80
0.225
153
0.300
223
0.375
228
0.450
229
0.525
147
0.600
98
0.675
31
0.750
16
0.825
3
10th25th Median 75th90th 95th99th
0.231 0.312 0.417 0.518 0.611 0.659 0.762
ISO n=1243 · μ=0.261 · σ=0.186
0.000
234
0.088
223
0.176
260
0.265
196
0.353
134
0.441
75
0.529
63
0.618
24
0.706
15
0.794
11
0.882
6
0.971
2
10th25th Median 75th90th 95th99th
0.056 0.118 0.235 0.364 0.521 0.611 0.817
BABIP n=1243 · μ=0.497 · σ=0.160
0.000
8
0.083
20
0.167
40
0.250
98
0.333
208
0.417
193
0.500
309
0.583
164
0.667
124
0.750
57
0.833
18
0.917
4
10th25th Median 75th90th 95th99th
0.300 0.390 0.500 0.600 0.700 0.750 0.846
K% n=1243 · μ=18.3% · σ=10.3%
0.0%
94
5.6%
215
11.1%
278
16.7%
268
22.2%
177
27.8%
95
33.3%
70
38.9%
22
44.4%
9
50.0%
9
55.6%
3
61.1%
3
10th25th Median 75th90th 95th99th
6.7% 11.1% 16.7% 24.0% 31.2% 36.3% 50.0%
BB% n=1243 · μ=10.4% · σ=7.0%
0.0%
165
3.2%
224
6.5%
256
9.7%
183
13.0%
185
16.2%
101
19.4%
56
22.7%
34
25.9%
24
29.2%
9
32.4%
4
35.6%
1
10th25th Median 75th90th 95th99th
0.0% 5.6% 9.4% 14.9% 20.0% 23.1% 29.8%
2C-RBI% n=1243 · μ=4.7% · σ=10.7%
0.0%
983
8.3%
118
16.7%
72
25.0%
29
33.3%
20
41.7%
3
50.0%
12
58.3%
0
66.7%
3
75.0%
0
83.3%
0
91.7%
3
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 4.6% 16.7% 25.0% 50.0%
2C-Conv% n=1243 · μ=29.0% · σ=44.8%
0.0%
870
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
21
58.3%
0
66.7%
4
75.0%
2
83.3%
0
91.7%
346
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 100.0% 100.0% 100.0% 100.0%
MhAB% n=1243 · μ=0.5% · σ=1.7%
0.0%
1121
1.4%
14
2.8%
51
4.2%
19
5.6%
17
6.9%
8
8.3%
5
9.7%
3
11.1%
1
12.5%
2
13.9%
0
15.3%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 3.8% 8.2%
RISP-AVG n=1243 · μ=0.354 · σ=0.152
0.000
30
0.083
90
0.167
169
0.250
258
0.333
265
0.417
190
0.500
150
0.583
60
0.667
21
0.750
6
0.833
3
0.917
1
10th25th Median 75th90th 95th99th
0.167 0.250 0.333 0.455 0.556 0.613 0.711
RISP-OPS n=1243 · μ=1.086 · σ=0.459
0.000
27
0.264
97
0.528
224
0.792
266
1.056
284
1.319
169
1.583
106
1.847
45
2.111
18
2.375
3
2.639
2
2.903
2
10th25th Median 75th90th 95th99th
0.533 0.750 1.059 1.365 1.708 1.869 2.296
RISP-Conv n=1243 · μ=0.43 · σ=0.218
0.00
80
0.12
154
0.24
252
0.36
286
0.48
187
0.60
156
0.71
75
0.83
33
0.95
10
1.07
7
1.19
1
1.31
2
10th25th Median 75th90th 95th99th
0.17 0.28 0.42 0.57 0.71 0.81 1.00
WAR n=1243 · μ=0.11 · σ=0.290
-0.46
49
-0.24
420
-0.02
418
0.20
214
0.42
78
0.64
32
0.87
17
1.09
9
1.31
4
1.53
0
1.75
1
1.97
1
10th25th Median 75th90th 95th99th
-0.17 -0.08 0.05 0.23 0.45 0.65 1.15

Pitching distributions

wERA n=808 · μ=14.14 · σ=6.450
0.00
6
3.75
86
7.50
●
218
11.25
194
15.00
140
18.75
83
22.50
35
26.25
27
30.00
10
33.75
5
37.50
3
41.25
1
10th25th Median 75th90th 95th99th
7.17 9.60 12.95 17.43 22.59 26.52 35.62
Highlighted player: 9.30 · approximate percentile: 10–25th
xRA n=808 · μ=14.14 · σ=6.450
0.00
6
3.75
86
7.50
●
218
11.25
194
15.00
140
18.75
83
22.50
35
26.25
27
30.00
10
33.75
5
37.50
3
41.25
1
10th25th Median 75th90th 95th99th
7.17 9.60 12.95 17.43 22.59 26.52 35.62
Highlighted player: 9.30 · approximate percentile: 10–25th
Decay n=336 · μ=+3.0 · σ=24.732
-97.3
3
-82.3
1
-67.3
2
-52.3
12
-37.3
29
-22.3
52
-7.3
94
+7.7
69
+22.7
●
54
+37.7
13
+52.7
5
+67.7
2
10th25th Median 75th90th 95th99th
-27.9 -10.7 +2.7 +19.4 +32.1 +38.3 +59.6
Highlighted player: +29.4 · approximate percentile: 75–90th
GSc avg n=808 · μ=50.8 · σ=6.803
26.4
5
30.3
7
34.3
21
38.3
50
42.3
102
46.3
175
50.3
209
54.3
●
144
58.3
67
62.3
17
66.3
4
70.2
7
10th25th Median 75th90th 95th99th
42.1 46.9 51.1 55.1 58.8 61.2 67.9
Highlighted player: 56.0 · approximate percentile: 75–90th
GSc+ n=808 · μ=102 · σ=13.534
55
6
63
8
70
24
78
52
86
106
94
183
102
207
110
●
129
118
63
125
21
133
4
141
5
10th25th Median 75th90th 95th99th
86 94 103 111 119 123 134
Highlighted player: 110 · approximate percentile: 50–75th
FOP n=808 · μ=63 · σ=11.798
19
4
25
6
30
8
36
29
42
37
47
63
53
104
58
113
64
●
176
70
155
75
94
81
19
10th25th Median 75th90th 95th99th
47 56 65 72 76 79 83
Highlighted player: 67 · approximate percentile: 50–75th
OS+ n=808 · μ=124 · σ=66.935
35
97
65
228
94
192
124
109
154
●
56
183
41
213
26
243
21
273
14
302
5
332
10
362
9
10th25th Median 75th90th 95th99th
62 77 102 145 218 261 362
Highlighted player: 157 · approximate percentile: 75–90th
GE n=808 · μ=0.9 · σ=0.524
0.4
337
0.7
216
1.0
104
1.3
64
1.5
31
1.8
●
23
2.1
10
2.3
6
2.6
5
2.9
5
3.2
3
3.4
4
10th25th Median 75th90th 95th99th
0.5 0.6 0.8 1.1 1.6 2.0 3.0
Highlighted player: 2.0 · approximate percentile: 95–99th
K% n=808 · μ=24.9% · σ=9.5%
0.0%
8
4.9%
28
9.8%
78
14.7%
124
19.6%
●
175
24.5%
147
29.4%
124
34.3%
68
39.2%
30
44.1%
16
49.0%
8
53.9%
2
10th25th Median 75th90th 95th99th
13.0% 18.8% 24.2% 31.2% 37.1% 41.3% 50.0%
Highlighted player: 22.4% · approximate percentile: 25–50th
BB% n=808 · μ=10.4% · σ=5.5%
0.0%
51
2.8%
103
5.6%
142
8.3%
162
11.1%
157
13.9%
74
16.7%
●
63
19.4%
37
22.2%
14
25.0%
2
27.8%
2
30.6%
1
10th25th Median 75th90th 95th99th
3.7% 6.7% 10.0% 13.6% 17.9% 20.0% 23.8%
Highlighted player: 17.1% · approximate percentile: 75–90th
HR% n=808 · μ=3.3% · σ=3.8%
0.0%
●
361
2.0%
147
4.0%
125
6.0%
83
7.9%
41
9.9%
22
11.9%
11
13.9%
12
15.9%
4
17.9%
1
19.8%
0
21.8%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.6% 5.4% 8.3% 10.5% 15.3%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
K-BB% n=808 · μ=8.7% · σ=11.1%
-23.5%
5
-18.0%
13
-12.5%
40
-6.9%
70
-1.4%
●
158
4.1%
166
9.7%
148
15.2%
97
20.7%
57
26.3%
30
31.8%
15
37.3%
9
10th25th Median 75th90th 95th99th
-4.3% 0.0% 7.9% 15.4% 23.1% 28.0% 37.5%
Highlighted player: 1.3% · approximate percentile: 25–50th
oAVG n=808 · μ=0.396 · σ=0.111
0.000
2
0.060
1
0.119
15
0.179
45
0.238
85
0.298
●
150
0.357
162
0.417
152
0.476
114
0.536
50
0.595
25
0.655
7
10th25th Median 75th90th 95th99th
0.250 0.318 0.393 0.475 0.537 0.583 0.650
Highlighted player: 0.339 · approximate percentile: 25–50th
WAR n=808 · μ=0.18 · σ=0.318
-0.70
5
-0.47
48
-0.25
132
-0.02
266
0.20
230
0.42
76
0.65
●
27
0.87
9
1.09
8
1.32
3
1.54
1
1.76
3
10th25th Median 75th90th 95th99th
-0.17 -0.01 0.16 0.31 0.52 0.71 1.29
Highlighted player: 0.73 · approximate percentile: 95–99th
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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