Distributions

League-wide player histograms · 673 games played · 507 qualifying batters (37+ PA) · 353 qualifying pitchers (37+ outs)
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Player ID 76 not found in the qualifying population — no histogram marker shown.

Batting distributions

PAVG n=507 · μ=0.402 · σ=0.142
0.057
2
0.115
13
0.174
46
0.233
80
0.292
63
0.351
64
0.410
60
0.469
65
0.528
55
0.587
35
0.645
22
0.704
2
10th25th Median 75th90th 95th99th
0.218 0.284 0.395 0.514 0.599 0.641 0.674
OPS n=507 · μ=1.193 · σ=0.439
0.296
8
0.462
37
0.628
73
0.795
62
0.961
68
1.127
51
1.293
54
1.459
54
1.625
38
1.791
40
1.957
19
2.123
3
10th25th Median 75th90th 95th99th
0.659 0.813 1.153 1.561 1.826 1.924 2.071
OPS+ n=507 · μ=100 · σ=36.955
25
8
39
35
53
73
66
63
80
63
94
53
108
55
121
49
135
36
149
44
162
24
176
4
10th25th Median 75th90th 95th99th
55 68 96 131 155 163 173
wOBA n=507 · μ=0.533 · σ=0.210
0.136
17
0.217
48
0.298
89
0.379
62
0.461
65
0.542
55
0.623
47
0.704
44
0.785
43
0.866
28
0.947
6
1.029
3
10th25th Median 75th90th 95th99th
0.280 0.354 0.504 0.701 0.839 0.898 0.964
BAVG n=507 · μ=0.463 · σ=0.169
0.068
4
0.138
18
0.207
48
0.276
90
0.345
56
0.415
59
0.484
69
0.553
60
0.623
49
0.692
37
0.761
13
0.831
3
10th25th Median 75th90th 95th99th
0.249 0.319 0.457 0.596 0.696 0.739 0.810
ISO n=507 · μ=0.262 · σ=0.165
0.000
45
0.065
83
0.129
84
0.194
78
0.259
53
0.323
39
0.388
46
0.453
35
0.518
22
0.582
13
0.647
7
0.712
2
10th25th Median 75th90th 95th99th
0.071 0.129 0.231 0.382 0.500 0.569 0.679
BABIP n=507 · μ=0.592 · σ=0.161
0.125
1
0.206
10
0.287
38
0.368
55
0.449
84
0.530
76
0.611
99
0.692
76
0.773
44
0.854
15
0.935
5
1.016
4
10th25th Median 75th90th 95th99th
0.375 0.474 0.595 0.703 0.793 0.852 0.972
K% n=507 · μ=23.0% · σ=10.6%
3.3%
24
7.9%
62
12.4%
80
17.0%
85
21.5%
71
26.1%
67
30.7%
47
35.2%
31
39.8%
21
44.3%
12
48.9%
3
53.4%
4
10th25th Median 75th90th 95th99th
10.0% 14.8% 21.7% 29.7% 37.7% 42.0% 50.9%
BB% n=507 · μ=10.9% · σ=4.2%
1.3%
16
3.4%
38
5.5%
59
7.6%
81
9.6%
106
11.7%
87
13.8%
57
15.9%
38
17.9%
13
20.0%
6
22.1%
4
24.2%
1
10th25th Median 75th90th 95th99th
5.4% 7.9% 10.8% 13.6% 16.4% 17.9% 22.8%
2C-RBI% n=507 · μ=18.0% · σ=13.0%
0.0%
84
5.6%
73
11.1%
99
16.7%
83
22.2%
65
27.8%
36
33.3%
26
38.9%
16
44.4%
9
50.0%
13
55.6%
2
61.1%
1
10th25th Median 75th90th 95th99th
0.0% 9.1% 16.1% 25.2% 35.1% 44.0% 54.5%
2C-Conv% n=507 · μ=63.2% · σ=29.8%
0.0%
36
8.3%
5
16.7%
18
25.0%
29
33.3%
36
41.7%
26
50.0%
46
58.3%
34
66.7%
43
75.0%
60
83.3%
73
91.7%
101
10th25th Median 75th90th 95th99th
20.0% 42.9% 66.7% 88.7% 100.0% 100.0% 100.0%
MhAB% n=507 · μ=2.9% · σ=2.9%
0.0%
173
1.2%
89
2.3%
86
3.5%
39
4.7%
36
5.8%
26
7.0%
30
8.1%
12
9.3%
6
10.5%
2
11.6%
4
12.8%
4
10th25th Median 75th90th 95th99th
0.0% 0.0% 2.2% 4.5% 7.1% 8.4% 12.1%
RISP-AVG n=507 · μ=0.425 · σ=0.182
0.029
7
0.107
37
0.185
63
0.263
76
0.342
84
0.420
68
0.498
55
0.576
56
0.655
36
0.733
10
0.811
12
0.889
3
10th25th Median 75th90th 95th99th
0.197 0.286 0.409 0.557 0.678 0.729 0.869
RISP-OPS n=507 · μ=1.251 · σ=0.523
0.257
24
0.479
54
0.700
77
0.922
83
1.144
78
1.365
45
1.587
59
1.809
45
2.030
24
2.252
13
2.473
4
2.695
1
10th25th Median 75th90th 95th99th
0.606 0.832 1.200 1.675 2.000 2.133 2.444
RISP-Conv n=507 · μ=0.49 · σ=0.235
0.00
7
0.12
74
0.25
106
0.38
109
0.50
79
0.62
46
0.75
49
0.88
22
1.00
12
1.12
2
1.25
0
1.38
1
10th25th Median 75th90th 95th99th
0.23 0.31 0.44 0.64 0.81 0.94 1.06
WAR n=507 · μ=0.21 · σ=0.714
-1.27
6
-0.97
27
-0.66
81
-0.36
103
-0.05
92
0.25
54
0.56
49
0.86
33
1.17
24
1.48
20
1.78
15
2.09
3
10th25th Median 75th90th 95th99th
-0.54 -0.33 0.06 0.63 1.32 1.60 2.03

Pitching distributions

wERA n=353 · μ=10.28 · σ=3.799
2.60
11
4.32
32
6.04
49
7.76
64
9.47
70
11.19
42
12.91
40
14.63
16
16.35
15
18.07
10
19.78
3
21.50
1
10th25th Median 75th90th 95th99th
5.72 7.62 9.93 12.66 15.42 17.31 20.21
xRA n=353 · μ=10.34 · σ=3.234
3.47
5
4.99
29
6.52
57
8.05
80
9.57
52
11.10
45
12.63
40
14.15
21
15.68
12
17.21
8
18.74
2
20.26
2
10th25th Median 75th90th 95th99th
6.55 8.03 9.65 12.40 14.86 16.48 18.97
Decay n=275 · μ=+1.9 · σ=17.434
-75.3
2
-64.2
0
-53.2
1
-42.1
5
-31.1
14
-20.0
37
-8.9
80
+2.1
71
+13.2
38
+24.2
23
+35.3
3
+46.4
0
10th25th Median 75th90th 95th99th
-19.0 -7.8 +1.9 +12.7 +23.1 +30.2 +36.3
GSc avg n=353 · μ=49.7 · σ=5.181
33.3
3
36.0
7
38.8
19
41.6
24
44.4
48
47.2
81
50.0
72
52.7
53
55.5
38
58.3
4
61.1
3
63.9
1
10th25th Median 75th90th 95th99th
42.5 46.6 49.9 53.2 56.1 57.0 61.0
GSc+ n=353 · μ=101 · σ=10.462
68
3
73
7
79
19
84
24
90
48
95
74
101
75
107
55
112
40
118
4
123
2
129
2
10th25th Median 75th90th 95th99th
87 94 101 108 114 116 123
FOP n=353 · μ=51 · σ=9.374
22
2
26
1
30
10
34
19
38
40
42
37
47
53
51
58
55
56
59
41
63
24
68
12
10th25th Median 75th90th 95th99th
39 45 53 58 64 66 70
OS+ n=353 · μ=120 · σ=55.324
44
52
70
87
95
79
121
54
146
28
172
15
197
15
222
7
248
9
273
5
299
1
324
1
10th25th Median 75th90th 95th99th
64 80 103 142 204 244 291
GE n=353 · μ=2.7 · σ=1.369
1.4
136
2.1
87
2.7
53
3.4
23
4.1
28
4.8
10
5.5
5
6.1
5
6.8
1
7.5
3
8.2
0
8.9
2
10th25th Median 75th90th 95th99th
1.4 1.8 2.3 3.3 4.6 5.2 7.8
K% n=353 · μ=30.2% · σ=6.9%
10.3%
2
13.8%
6
17.4%
19
20.9%
46
24.4%
72
28.0%
66
31.5%
55
35.1%
45
38.6%
21
42.1%
17
45.7%
3
49.2%
1
10th25th Median 75th90th 95th99th
22.2% 25.0% 29.5% 35.0% 40.1% 42.5% 45.9%
BB% n=353 · μ=11.0% · σ=3.7%
2.4%
3
4.3%
22
6.1%
54
8.0%
70
9.8%
65
11.7%
55
13.5%
39
15.4%
19
17.2%
16
19.1%
8
20.9%
1
22.8%
1
10th25th Median 75th90th 95th99th
6.4% 8.2% 10.5% 13.3% 16.1% 17.7% 20.1%
HR% n=353 · μ=3.8% · σ=2.6%
0.0%
65
1.4%
74
2.7%
70
4.1%
64
5.5%
35
6.8%
22
8.2%
15
9.5%
4
10.9%
1
12.3%
1
13.6%
1
15.0%
1
10th25th Median 75th90th 95th99th
0.9% 1.8% 3.4% 5.3% 7.4% 8.4% 11.1%
K-BB% n=353 · μ=12.4% · σ=7.8%
-7.5%
6
-4.1%
7
-0.7%
18
2.7%
53
6.1%
47
9.5%
56
12.9%
65
16.3%
36
19.7%
41
23.1%
6
26.5%
11
29.9%
7
10th25th Median 75th90th 95th99th
3.1% 6.5% 12.2% 17.5% 22.2% 26.4% 32.2%
oAVG n=353 · μ=0.445 · σ=0.088
0.179
2
0.221
2
0.263
13
0.304
28
0.346
47
0.388
60
0.429
79
0.471
44
0.513
35
0.554
25
0.596
11
0.638
7
10th25th Median 75th90th 95th99th
0.329 0.387 0.439 0.505 0.573 0.595 0.653
WAR n=353 · μ=0.45 · σ=0.701
-0.84
21
-0.41
71
0.03
127
0.46
66
0.89
36
1.33
12
1.76
12
2.19
2
2.63
4
3.06
0
3.49
1
3.92
1
10th25th Median 75th90th 95th99th
-0.25 0.01 0.32 0.72 1.27 1.91 2.79
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 wERA. K-BB% is plain (K - BB) / BF.
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