Distributions

League-wide player histograms · 45 games played · 468 qualifying batters (3+ PA) · 358 qualifying pitchers (3+ outs)
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Player ID 478 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=468 · μ=0.396 · σ=0.211
0.000
45
0.083
16
0.167
33
0.250
50
0.333
114
0.417
41
0.500
75
0.583
24
0.667
43
0.750
21
0.833
4
0.917
2
10th25th Median 75th90th 95th99th
0.100 0.250 0.400 0.507 0.667 0.750 0.833
OPS n=468 · μ=1.219 · σ=0.597
0.000
26
0.278
33
0.556
75
0.833
60
1.111
104
1.389
76
1.667
41
1.944
26
2.222
12
2.500
11
2.778
3
3.056
1
10th25th Median 75th90th 95th99th
0.420 0.778 1.226 1.600 2.000 2.282 2.694
OPS+ n=468 · μ=96 · σ=47.145
0
26
22
33
43
70
65
64
87
95
109
83
130
44
152
26
174
12
195
10
217
4
239
1
10th25th Median 75th90th 95th99th
33 61 98 126 156 180 215
wOBA n=468 · μ=0.550 · σ=0.270
0.000
26
0.124
39
0.248
60
0.372
69
0.496
93
0.620
74
0.744
51
0.868
30
0.992
15
1.116
6
1.241
4
1.365
1
10th25th Median 75th90th 95th99th
0.189 0.349 0.555 0.727 0.902 1.020 1.219
BAVG n=468 · μ=0.476 · σ=0.252
0.000
44
0.104
23
0.208
39
0.312
76
0.417
103
0.521
45
0.625
67
0.729
34
0.833
16
0.938
20
1.042
0
1.146
1
10th25th Median 75th90th 95th99th
0.138 0.333 0.500 0.667 0.800 0.889 1.000
ISO n=468 · μ=0.262 · σ=0.275
0.000
175
0.125
75
0.250
89
0.375
45
0.500
37
0.625
17
0.750
12
0.875
3
1.000
6
1.125
5
1.250
3
1.375
1
10th25th Median 75th90th 95th99th
0.000 0.000 0.218 0.385 0.618 0.800 1.178
BABIP n=468 · μ=0.596 · σ=0.298
0.000
51
0.111
7
0.222
9
0.333
44
0.444
82
0.556
43
0.667
103
0.778
41
0.889
7
1.000
78
1.111
2
1.222
1
10th25th Median 75th90th 95th99th
0.000 0.489 0.625 0.800 1.000 1.000 1.000
K% n=468 · μ=20.9% · σ=17.4%
0.0%
114
6.7%
59
13.3%
59
20.0%
77
26.7%
28
33.3%
57
40.0%
33
46.7%
24
53.3%
3
60.0%
3
66.7%
7
73.3%
4
10th25th Median 75th90th 95th99th
0.0% 7.6% 20.0% 33.3% 44.4% 50.0% 66.7%
BB% n=468 · μ=14.0% · σ=13.3%
0.0%
159
6.2%
70
12.5%
77
18.8%
43
25.0%
56
31.2%
42
37.5%
14
43.8%
1
50.0%
3
56.2%
1
62.5%
0
68.8%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 12.5% 25.0% 33.3% 33.3% 50.0%
2C-RBI% n=468 · μ=2.7% · σ=11.3%
0.0%
435
8.3%
2
16.7%
7
25.0%
7
33.3%
6
41.7%
0
50.0%
6
58.3%
0
66.7%
3
75.0%
0
83.3%
0
91.7%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 24.0% 55.5%
2C-Conv% n=468 · μ=8.1% · σ=27.3%
0.0%
430
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%
38
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 100.0% 100.0%
MhAB% n=468 · μ=0.3% · σ=1.9%
0.0%
457
1.7%
0
3.3%
0
5.0%
0
6.7%
0
8.3%
6
10.0%
1
11.7%
0
13.3%
2
15.0%
0
16.7%
1
18.3%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 9.4%
RISP-AVG n=468 · μ=0.377 · σ=0.250
0.000
78
0.083
13
0.167
32
0.250
54
0.333
97
0.417
26
0.500
74
0.583
26
0.667
32
0.750
16
0.833
4
0.917
16
10th25th Median 75th90th 95th99th
0.000 0.222 0.375 0.500 0.667 0.800 1.000
RISP-OPS n=468 · μ=1.166 · σ=0.671
0.000
46
0.333
53
0.667
62
1.000
121
1.333
80
1.667
40
2.000
44
2.333
12
2.667
4
3.000
4
3.333
1
3.667
1
10th25th Median 75th90th 95th99th
0.333 0.692 1.125 1.600 2.000 2.250 3.000
RISP-Conv n=468 · μ=0.48 · σ=0.385
0.00
122
0.25
117
0.50
118
0.75
57
1.00
41
1.25
5
1.50
4
1.75
0
2.00
2
2.25
0
2.50
1
2.75
1
10th25th Median 75th90th 95th99th
0.00 0.20 0.43 0.71 1.00 1.00 1.50
WAR n=468 · μ=0.03 · σ=0.093
-0.21
2
-0.16
12
-0.11
53
-0.06
105
-0.01
102
0.04
82
0.09
58
0.14
26
0.19
15
0.24
8
0.29
3
0.34
2
10th25th Median 75th90th 95th99th
-0.07 -0.04 0.02 0.09 0.15 0.20 0.29

Pitching distributions

wERA n=358 · μ=20.32 · σ=14.058
0.00
48
7.70
113
15.39
82
23.09
45
30.78
39
38.48
11
46.18
11
53.87
2
61.57
3
69.26
2
76.96
0
84.66
2
10th25th Median 75th90th 95th99th
7.06 10.12 16.72 26.92 36.35 47.56 70.43
xRA n=358 · μ=20.32 · σ=14.058
0.00
48
7.70
113
15.39
82
23.09
45
30.78
39
38.48
11
46.18
11
53.87
2
61.57
3
69.26
2
76.96
0
84.66
2
10th25th Median 75th90th 95th99th
7.06 10.12 16.72 26.92 36.35 47.56 70.43
Decay n=27 · μ=+2.3 · σ=40.976
-82.3
1
-67.3
0
-52.3
3
-37.3
2
-22.3
6
-7.3
5
+7.7
3
+22.7
2
+37.7
1
+52.7
1
+67.7
2
+82.7
1
10th25th Median 75th90th 95th99th
-45.2 -20.7 -6.2 +23.9 +62.0 +74.6 +91.9
GSc avg n=358 · μ=50.4 · σ=6.372
33.6
6
36.3
10
39.0
17
41.7
29
44.3
49
47.0
53
49.7
53
52.4
50
55.0
39
57.7
32
60.4
17
63.1
3
10th25th Median 75th90th 95th99th
41.9 45.9 50.2 55.1 59.0 60.8 62.7
GSc+ n=358 · μ=102 · σ=12.886
69
6
75
10
80
19
85
31
90
42
96
56
101
50
106
48
111
38
116
32
122
20
127
6
10th25th Median 75th90th 95th99th
85 93 103 112 120 123 128
FOP n=358 · μ=57 · σ=13.435
17
5
22
5
28
13
33
18
38
19
44
23
49
38
55
69
60
62
66
52
71
44
76
10
10th25th Median 75th90th 95th99th
37 50 59 67 73 75 80
OS+ n=358 · μ=118 · σ=40.763
40
16
56
10
73
85
90
81
106
11
123
57
139
10
156
51
173
25
189
0
206
9
222
3
10th25th Median 75th90th 95th99th
80 80 106 146 173 186 212
GE n=358 · μ=0.2 · σ=0.098
0.1
130
0.2
55
0.2
66
0.2
38
0.3
19
0.3
22
0.4
12
0.4
4
0.5
6
0.5
2
0.5
3
0.6
1
10th25th Median 75th90th 95th99th
0.1 0.1 0.2 0.3 0.3 0.4 0.5
K% n=358 · μ=30.4% · σ=16.8%
0.0%
18
7.1%
31
14.3%
59
21.4%
58
28.6%
59
35.7%
43
42.9%
28
50.0%
32
57.1%
22
64.3%
2
71.4%
5
78.6%
1
10th25th Median 75th90th 95th99th
12.5% 16.7% 28.6% 42.6% 55.6% 57.1% 75.0%
BB% n=358 · μ=13.2% · σ=11.9%
0.0%
112
5.6%
36
11.1%
95
16.7%
24
22.2%
40
27.8%
18
33.3%
27
38.9%
5
44.4%
0
50.0%
0
55.6%
0
61.1%
1
10th25th Median 75th90th 95th99th
0.0% 0.0% 12.5% 22.2% 28.6% 37.5% 42.2%
HR% n=358 · μ=2.9% · σ=5.8%
0.0%
269
2.4%
0
4.8%
6
7.1%
32
9.5%
12
11.9%
8
14.3%
17
16.7%
4
19.0%
3
21.4%
2
23.8%
3
26.2%
2
10th25th Median 75th90th 95th99th
0.0% 0.0% 0.0% 0.0% 12.5% 14.3% 25.0%
K-BB% n=358 · μ=9.6% · σ=21.7%
-66.7%
1
-54.9%
0
-43.1%
7
-31.2%
20
-19.4%
47
-7.6%
89
4.2%
79
16.0%
44
27.8%
36
39.6%
23
51.4%
9
63.2%
2
10th25th Median 75th90th 95th99th
-14.3% 0.0% 9.5% 22.2% 37.5% 50.0% 62.5%
oAVG n=358 · μ=0.441 · σ=0.195
0.000
14
0.083
9
0.167
27
0.250
38
0.333
73
0.417
33
0.500
75
0.583
37
0.667
30
0.750
12
0.833
8
0.917
2
10th25th Median 75th90th 95th99th
0.193 0.333 0.429 0.571 0.696 0.750 0.839
WAR n=358 · μ=0.05 · σ=0.114
-0.32
3
-0.26
3
-0.20
13
-0.14
22
-0.08
52
-0.02
55
0.04
85
0.10
67
0.16
35
0.22
14
0.28
6
0.34
3
10th25th Median 75th90th 95th99th
-0.09 -0.03 0.06 0.12 0.19 0.23 0.30
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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