Distributions

League-wide player histograms · 60 games played · 469 qualifying batters (4+ PA) · 357 qualifying pitchers (4+ outs)
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Marking Aníbal Ugalde ATL on every histogram below. Compare ↗

Batting distributions

PAVG n=469 · μ=0.391 · σ=0.196
0.000
31
0.100
28
0.200
93
0.300
76
0.400
93
0.500
79
0.600
39
0.700
17
0.800
11
0.900
0
1.000
1
1.100
1
10th25th Median 75th90th 95th99th
0.152 0.250 0.400 0.500 0.636 0.736 0.833
OPS n=469 · μ=1.196 · σ=0.548
0.000
21
0.283
35
0.567
67
0.850
92
1.133
107
1.417
76
1.700
29
1.983
26
2.267
6
2.550
7
2.833
2
3.117
1
10th25th Median 75th90th 95th99th
0.500 0.818 1.200 1.500 1.861 2.111 2.800
OPS+ n=469 · μ=96 · σ=44.203
0
21
23
35
45
66
68
89
91
107
113
78
136
31
159
26
181
6
204
6
226
3
249
1
10th25th Median 75th90th 95th99th
40 65 96 122 151 169 224
wOBA n=469 · μ=0.542 · σ=0.247
0.000
21
0.128
38
0.255
63
0.383
93
0.510
101
0.638
78
0.765
38
0.893
22
1.020
6
1.148
4
1.275
4
1.403
1
10th25th Median 75th90th 95th99th
0.232 0.372 0.537 0.684 0.853 0.969 1.268
BAVG n=469 · μ=0.470 · σ=0.228
0.000
27
0.100
20
0.200
50
0.300
63
0.400
70
0.500
104
0.600
63
0.700
35
0.800
19
0.900
2
1.000
14
1.100
2
10th25th Median 75th90th 95th99th
0.196 0.333 0.500 0.600 0.750 0.841 1.000
ISO n=469 · μ=0.253 · σ=0.251
0.000
166
0.125
95
0.250
86
0.375
41
0.500
41
0.625
18
0.750
12
0.875
1
1.000
5
1.125
0
1.250
1
1.375
3
10th25th Median 75th90th 95th99th
0.000 0.000 0.200 0.375 0.600 0.682 1.000
BABIP n=469 · μ=0.596 · σ=0.270
0.000
32
0.104
13
0.208
18
0.312
39
0.417
82
0.521
54
0.625
88
0.729
50
0.833
30
0.938
60
1.042
1
1.146
2
10th25th Median 75th90th 95th99th
0.250 0.500 0.600 0.750 1.000 1.000 1.000
K% n=469 · μ=21.5% · σ=16.6%
0.0%
95
6.7%
73
13.3%
50
20.0%
93
26.7%
36
33.3%
47
40.0%
37
46.7%
24
53.3%
2
60.0%
4
66.7%
2
73.3%
6
10th25th Median 75th90th 95th99th
0.0% 9.1% 20.0% 33.3% 41.9% 50.0% 75.0%
BB% n=469 · μ=13.8% · σ=12.4%
0.0%
144
6.2%
77
12.5%
94
18.8%
58
25.0%
60
31.2%
16
37.5%
12
43.8%
0
50.0%
4
56.2%
2
62.5%
0
68.8%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 12.5% 20.0% 28.6% 33.3% 50.0%
2C-RBI% n=469 · μ=2.5% · σ=10.2%
0.0%
433
8.3%
8
16.7%
6
25.0%
7
33.3%
4
41.7%
1
50.0%
7
58.3%
0
66.7%
2
75.0%
0
83.3%
0
91.7%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 20.0% 50.0%
2C-Conv% n=469 · μ=8.7% · σ=28.2%
0.0%
428
8.3%
0
16.7%
0
25.0%
0
33.3%
0
41.7%
0
50.0%
0
58.3%
0
66.7%
0
75.0%
0
83.3%
0
91.7%
41
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 100.0% 100.0%
MhAB% n=469 · μ=0.3% · σ=2.2%
0.0%
456
2.1%
0
4.2%
0
6.2%
6
8.3%
2
10.4%
0
12.5%
2
14.6%
0
16.7%
0
18.8%
2
20.8%
0
22.9%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 10.2%
RISP-AVG n=469 · μ=0.370 · σ=0.228
0.000
59
0.111
55
0.222
64
0.333
124
0.444
79
0.556
35
0.667
32
0.778
11
0.889
0
1.000
9
1.111
0
1.222
1
10th25th Median 75th90th 95th99th
0.000 0.222 0.375 0.500 0.667 0.750 1.000
RISP-OPS n=469 · μ=1.145 · σ=0.615
0.000
38
0.292
45
0.583
74
0.875
91
1.167
92
1.458
58
1.750
41
2.042
14
2.333
7
2.625
4
2.917
2
3.208
3
10th25th Median 75th90th 95th99th
0.333 0.750 1.125 1.500 2.000 2.167 2.864
RISP-Conv n=469 · μ=0.47 · σ=0.336
0.00
107
0.21
109
0.42
107
0.62
88
0.83
39
1.04
8
1.25
4
1.46
4
1.67
2
1.88
0
2.08
0
2.29
1
10th25th Median 75th90th 95th99th
0.00 0.25 0.45 0.67 0.86 1.00 1.50
WAR n=469 · μ=0.04 · σ=0.117
-0.26
2
-0.20
11
-0.14
51
-0.08
99
-0.02
119
0.04
68
0.10
56
0.16
29
0.22
18
0.29
7
0.35
4
0.41
4
10th25th Median 75th90th 95th99th
-0.09 -0.05 0.02 0.10 0.19 0.26 0.40

Pitching distributions

wERA n=357 · μ=17.87 · σ=10.794
0.00
28
6.03
89
12.07
106
18.10
●
53
24.13
30
30.16
28
36.20
9
42.23
7
48.26
6
54.30
0
60.33
0
66.36
1
10th25th Median 75th90th 95th99th
6.82 9.86 15.44 23.14 33.60 38.32 50.76
Highlighted player: 19.55 · approximate percentile: 50–75th
xRA n=357 · μ=17.87 · σ=10.794
0.00
28
6.03
89
12.07
106
18.10
●
53
24.13
30
30.16
28
36.20
9
42.23
7
48.26
6
54.30
0
60.33
0
66.36
1
10th25th Median 75th90th 95th99th
6.82 9.86 15.44 23.14 33.60 38.32 50.76
Highlighted player: 19.55 · approximate percentile: 50–75th
Decay n=50 · μ=+1.2 · σ=36.569
-82.4
1
-67.4
1
-52.4
3
-37.4
6
-22.4
●
11
-7.4
12
+7.6
6
+22.6
2
+37.6
3
+52.6
1
+67.6
2
+82.6
2
10th25th Median 75th90th 95th99th
-36.6 -16.7 -2.4 +11.9 +49.3 +74.1 +97.6
Highlighted player: -16.7 · approximate percentile: 10–25th
GSc avg n=357 · μ=50.5 · σ=5.976
33.8
4
36.5
5
39.1
21
41.8
●
28
44.4
34
47.0
64
49.7
67
52.3
50
55.0
32
57.6
34
60.2
15
62.9
3
10th25th Median 75th90th 95th99th
42.1 46.8 50.4 54.8 58.4 60.3 62.4
Highlighted player: 43.9 · approximate percentile: 10–25th
GSc+ n=357 · μ=103 · σ=12.180
68
3
74
4
79
22
85
●
27
90
39
96
60
101
64
107
58
112
35
118
27
123
14
129
4
10th25th Median 75th90th 95th99th
87 95 103 111 119 123 129
Highlighted player: 88 · approximate percentile: 10–25th
FOP n=357 · μ=58 · σ=12.419
18
3
23
6
29
12
34
9
40
22
45
34
51
43
56
●
61
61
75
67
47
72
36
78
9
10th25th Median 75th90th 95th99th
42 51 60 67 72 75 80
Highlighted player: 56 · approximate percentile: 25–50th
OS+ n=357 · μ=121 · σ=37.849
44
14
59
21
75
●
49
91
85
107
24
123
60
139
15
155
53
171
22
187
1
203
10
219
3
10th25th Median 75th90th 95th99th
78 98 117 148 175 183 209
Highlighted player: 91 · approximate percentile: 10–25th
GE n=357 · μ=0.3 · σ=0.116
0.1
118
0.2
61
0.2
●
42
0.3
56
0.3
26
0.4
18
0.4
19
0.5
4
0.5
4
0.6
5
0.6
2
0.7
2
10th25th Median 75th90th 95th99th
0.1 0.2 0.2 0.3 0.4 0.5 0.6
Highlighted player: 0.3 · approximate percentile: 50–75th
K% n=357 · μ=31.6% · σ=15.9%
0.0%
●
15
8.3%
50
16.7%
50
25.0%
75
33.3%
75
41.7%
37
50.0%
36
58.3%
9
66.7%
5
75.0%
3
83.3%
1
91.7%
1
10th25th Median 75th90th 95th99th
12.5% 20.0% 30.0% 42.1% 54.9% 59.1% 76.2%
Highlighted player: 7.1% · approximate percentile: ≤ 10th
BB% n=357 · μ=13.5% · σ=11.0%
0.0%
87
3.6%
12
7.1%
47
10.7%
47
14.3%
●
50
17.9%
17
21.4%
27
25.0%
27
28.6%
16
32.1%
8
35.7%
16
39.3%
3
10th25th Median 75th90th 95th99th
0.0% 4.8% 12.5% 21.4% 28.6% 35.7% 37.5%
Highlighted player: 14.3% · approximate percentile: 50–75th
HR% n=357 · μ=2.9% · σ=5.3%
0.0%
●
252
2.1%
2
4.2%
18
6.2%
34
8.3%
10
10.4%
10
12.5%
19
14.6%
1
16.7%
3
18.8%
3
20.8%
1
22.9%
4
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 5.6% 11.1% 14.3% 22.9%
Highlighted player: 0.0% · approximate percentile: ≤ 10th
K-BB% n=357 · μ=10.2% · σ=19.8%
-42.9%
4
-31.0%
12
-19.0%
●
56
-7.1%
83
4.8%
94
16.7%
57
28.6%
26
40.5%
14
52.4%
8
64.3%
2
76.2%
0
88.1%
1
10th25th Median 75th90th 95th99th
-12.5% 0.0% 10.0% 22.2% 37.5% 44.4% 62.5%
Highlighted player: -7.1% · approximate percentile: 10–25th
oAVG n=357 · μ=0.423 · σ=0.179
0.000
11
0.069
3
0.139
36
0.208
27
0.278
51
0.347
38
0.417
42
0.486
59
0.556
●
41
0.625
25
0.694
17
0.764
7
10th25th Median 75th90th 95th99th
0.200 0.286 0.429 0.556 0.652 0.714 0.815
Highlighted player: 0.583 · approximate percentile: 75–90th
WAR n=357 · μ=0.07 · σ=0.121
-0.31
3
-0.25
7
-0.18
18
-0.12
32
-0.05
40
0.01
●
77
0.07
91
0.14
51
0.20
22
0.27
12
0.33
1
0.40
3
10th25th Median 75th90th 95th99th
-0.10 -0.00 0.08 0.14 0.21 0.25 0.35
Highlighted player: 0.04 · approximate percentile: 25–50th
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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