Distributions

League-wide player histograms · 87 games played · 862 qualifying batters (3+ PA) · 428 qualifying pitchers (3+ outs)
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Marking Ben Gullickson AS on every histogram below. Compare ↗

Batting distributions

PAVG n=862 · μ=0.284 · σ=0.204
0.000
167
0.083
66
0.167
101
0.250
149
0.333
172
0.417
42
0.500
84
0.583
31
0.667
35
0.750
11
0.833
1
0.917
3
10th25th Median 75th90th 95th99th
0.000 0.143 0.250 0.400 0.571 0.667 0.750
OPS n=862 · μ=0.898 · σ=0.566
0.000
98
0.250
103
0.500
156
0.750
128
1.000
142
1.250
88
1.500
73
1.750
31
2.000
32
2.250
5
2.500
4
2.750
2
10th25th Median 75th90th 95th99th
0.168 0.500 0.833 1.273 1.667 1.922 2.333
OPS+ n=862 · μ=94 · σ=59.299
0
97
25
109
49
123
74
151
98
117
123
107
147
71
172
36
196
29
221
11
245
5
270
6
10th25th Median 75th90th 95th99th
19 52 89 134 174 203 248
wOBA n=862 · μ=0.422 · σ=0.259
0.000
96
0.124
139
0.248
144
0.372
170
0.496
129
0.621
85
0.745
51
0.869
28
0.993
12
1.117
4
1.241
3
1.365
1
10th25th Median 75th90th 95th99th
0.109 0.220 0.401 0.580 0.768 0.883 1.101
BAVG n=862 · μ=0.342 · σ=0.250
0.000
208
0.167
170
0.333
216
0.500
157
0.667
88
0.833
1
1.000
21
1.167
0
1.333
0
1.500
0
1.667
0
1.833
1
10th25th Median 75th90th 95th99th
0.000 0.167 0.333 0.500 0.667 0.750 1.000
ISO n=862 · μ=0.181 · σ=0.245
0.000
498
0.139
147
0.278
85
0.417
50
0.556
38
0.694
27
0.833
5
0.972
8
1.111
1
1.250
2
1.389
0
1.528
1
10th25th Median 75th90th 95th99th
0.000 0.000 0.083 0.286 0.538 0.700 1.000
BABIP n=862 · μ=0.439 · σ=0.325
0.000
193
0.167
84
0.333
159
0.500
194
0.667
127
0.833
9
1.000
92
1.167
0
1.333
0
1.500
1
1.667
0
1.833
3
10th25th Median 75th90th 95th99th
0.000 0.200 0.437 0.667 1.000 1.000 1.000
K% n=862 · μ=24.1% · σ=19.2%
0.0%
209
8.3%
93
16.7%
122
25.0%
142
33.3%
160
41.7%
23
50.0%
60
58.3%
12
66.7%
24
75.0%
15
83.3%
1
91.7%
1
10th25th Median 75th90th 95th99th
0.0% 9.1% 25.0% 33.3% 50.0% 60.0% 75.0%
BB% n=862 · μ=12.9% · σ=14.8%
0.0%
393
8.3%
144
16.7%
123
25.0%
103
33.3%
63
41.7%
7
50.0%
15
58.3%
2
66.7%
8
75.0%
3
83.3%
0
91.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 10.0% 22.2% 33.3% 40.0% 66.7%
2C-RBI% n=862 · μ=2.2% · σ=11.7%
0.0%
822
8.3%
3
16.7%
3
25.0%
4
33.3%
9
41.7%
0
50.0%
12
58.3%
1
66.7%
1
75.0%
0
83.3%
0
91.7%
7
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 53.9%
2C-Conv% n=862 · μ=5.2% · σ=22.1%
0.0%
817
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
1
58.3%
0
66.7%
0
75.0%
0
83.3%
0
91.7%
44
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 97.5% 100.0%
MhAB% n=862 · μ=0.2% · σ=2.1%
0.0%
849
2.8%
0
5.6%
0
8.3%
5
11.1%
2
13.9%
2
16.7%
1
19.4%
1
22.2%
0
25.0%
0
27.8%
0
30.6%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 10.0%
RISP-AVG n=862 · μ=0.269 · σ=0.245
0.000
278
0.083
43
0.167
67
0.250
104
0.333
135
0.417
28
0.500
115
0.583
19
0.667
39
0.750
16
0.833
2
0.917
16
10th25th Median 75th90th 95th99th
0.000 0.000 0.250 0.444 0.600 0.667 1.000
RISP-OPS n=862 · μ=0.869 · σ=0.667
0.000
165
0.250
95
0.500
145
0.750
68
1.000
148
1.250
82
1.500
58
1.750
26
2.000
38
2.250
16
2.500
16
2.750
5
10th25th Median 75th90th 95th99th
0.000 0.333 0.750 1.286 1.800 2.000 2.539
RISP-Conv n=862 · μ=0.35 · σ=0.335
0.00
290
0.17
143
0.33
145
0.50
114
0.67
82
0.83
15
1.00
57
1.17
4
1.33
7
1.50
3
1.67
1
1.83
1
10th25th Median 75th90th 95th99th
0.00 0.00 0.30 0.50 0.83 1.00 1.33
WAR n=862 · μ=0.02 · σ=0.082
-0.19
4
-0.15
23
-0.11
104
-0.06
183
-0.02
227
0.03
144
0.07
79
0.12
41
0.16
31
0.21
13
0.25
8
0.30
5
10th25th Median 75th90th 95th99th
-0.07 -0.04 0.00 0.06 0.12 0.18 0.27

Pitching distributions

wERA n=428 · μ=14.18 · σ=10.569
0.00
●
86
6.12
144
12.24
87
18.36
53
24.48
30
30.60
9
36.72
7
42.84
5
48.96
3
55.08
3
61.20
0
67.33
1
10th25th Median 75th90th 95th99th
4.05 6.86 11.69 18.63 26.86 35.41 52.31
Highlighted player: 4.15 · approximate percentile: 10–25th
xRA n=428 · μ=14.18 · σ=10.569
0.00
●
86
6.12
144
12.24
87
18.36
53
24.48
30
30.60
9
36.72
7
42.84
5
48.96
3
55.08
3
61.20
0
67.33
1
10th25th Median 75th90th 95th99th
4.05 6.86 11.69 18.63 26.86 35.41 52.31
Highlighted player: 4.15 · approximate percentile: 10–25th
Decay n=51 · μ=+16.0 · σ=28.390
-58.0
1
-44.8
2
-31.5
1
-18.3
8
-5.0
7
+8.2
11
+21.5
●
8
+34.7
7
+48.0
4
+61.2
1
+74.5
0
+87.7
0
10th25th Median 75th90th 95th99th
-14.9 -1.2 +19.0 +35.1 +48.2 +53.2 +84.3
Highlighted player: +21.8 · approximate percentile: 50–75th
GSc avg n=428 · μ=50.4 · σ=9.690
21.5
3
26.5
9
31.4
17
36.4
49
41.3
68
46.3
73
51.2
87
56.2
72
61.2
34
66.1
7
71.1
6
76.0
●
2
10th25th Median 75th90th 95th99th
38.2 43.5 50.9 57.1 61.9 64.9 73.5
Highlighted player: 78.2 · approximate percentile: ≥ 99th
GSc+ n=428 · μ=102 · σ=19.472
44
3
54
9
64
19
73
44
83
71
93
67
103
83
112
76
122
37
132
9
142
7
151
●
3
10th25th Median 75th90th 95th99th
77 88 103 115 124 131 148
Highlighted player: 158 · approximate percentile: ≥ 99th
FOP n=428 · μ=61 · σ=17.118
4
4
12
3
20
15
27
16
35
23
42
30
50
51
57
●
78
65
95
72
69
80
31
88
13
10th25th Median 75th90th 95th99th
36 52 64 73 80 85 91
Highlighted player: 62 · approximate percentile: 25–50th
OS+ n=428 · μ=119 · σ=72.565
37
69
62
84
86
78
111
55
135
42
160
31
185
15
209
13
234
5
258
9
283
9
308
●
18
10th25th Median 75th90th 95th99th
49 62 98 148 221 283 332
Highlighted player: 332 · approximate percentile: 95–99th
GE n=428 · μ=0.4 · σ=0.218
0.1
69
0.2
84
0.3
78
0.3
55
0.4
42
0.5
31
0.6
15
0.6
13
0.7
5
0.8
9
0.9
9
0.9
●
18
10th25th Median 75th90th 95th99th
0.1 0.2 0.3 0.4 0.7 0.9 1.0
Highlighted player: 1.0 · approximate percentile: 95–99th
K% n=428 · μ=30.9% · σ=16.7%
0.0%
20
8.3%
63
16.7%
●
77
25.0%
82
33.3%
84
41.7%
36
50.0%
36
58.3%
14
66.7%
10
75.0%
4
83.3%
1
91.7%
1
10th25th Median 75th90th 95th99th
11.1% 20.0% 28.6% 40.0% 53.2% 61.6% 75.0%
Highlighted player: 22.2% · approximate percentile: 25–50th
BB% n=428 · μ=12.5% · σ=9.4%
0.0%
99
3.5%
26
6.9%
55
10.4%
60
13.9%
55
17.4%
●
49
20.8%
36
24.3%
23
27.8%
11
31.2%
9
34.7%
3
38.2%
2
10th25th Median 75th90th 95th99th
0.0% 5.6% 12.5% 20.0% 25.0% 29.1% 35.1%
Highlighted player: 18.5% · approximate percentile: 50–75th
HR% n=428 · μ=2.6% · σ=5.2%
0.0%
●
316
3.3%
23
6.7%
45
10.0%
25
13.3%
5
16.7%
6
20.0%
4
23.3%
2
26.7%
0
30.0%
1
33.3%
0
36.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 4.4% 10.0% 12.5% 22.0%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
K-BB% n=428 · μ=11.1% · σ=19.1%
-33.3%
11
-24.3%
20
-15.3%
●
53
-6.2%
73
2.8%
61
11.8%
95
20.8%
52
29.9%
34
38.9%
8
47.9%
13
56.9%
4
66.0%
4
10th25th Median 75th90th 95th99th
-12.7% 0.0% 11.1% 22.2% 33.3% 46.6% 61.8%
Highlighted player: -7.4% · approximate percentile: 10–25th
oAVG n=428 · μ=0.346 · σ=0.180
0.000
26
0.069
●
22
0.139
49
0.208
52
0.278
81
0.347
52
0.417
42
0.486
41
0.556
26
0.625
21
0.694
14
0.764
2
10th25th Median 75th90th 95th99th
0.125 0.222 0.333 0.462 0.600 0.667 0.750
Highlighted player: 0.095 · approximate percentile: ≤ 10th
WAR n=428 · μ=0.06 · σ=0.152
-0.33
7
-0.25
11
-0.17
40
-0.10
78
-0.02
96
0.06
88
0.14
58
0.21
18
0.29
11
0.37
13
0.45
●
4
0.52
4
10th25th Median 75th90th 95th99th
-0.12 -0.04 0.05 0.14 0.24 0.35 0.51
Highlighted player: 0.51 · 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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