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Saturday, July 8, 2023

Appendix CE-12

This is an appendix to: On The Origin of The Containment Entity - 12



Benford's Law applied to
Human Chromosome (chr1)
:
(Instances processed: 219,353,678)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 105,741,138 48.21 30.10 18.11
2 39,591,902 18.05 17.60 0.45
3 10,594,016 4.83 12.50 7.67
4 10,594,364 4.83 9.70 4.87
5 10,593,656 4.83 7.90 3.07
6 10,568,898 4.82 6.70 1.88
7 10,552,683 4.81 5.80 0.99
8 10,560,565 4.81 5.10 0.29
9 10,556,456 4.81 4.60 0.21

Benford's Law applied to
Human Chromosome (chr2)
:
(Instances processed: 228,678,873)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 105,567,454 46.16 30.10 16.06
2 49,149,756 21.49 17.60 3.89
3 10,560,800 4.62 12.50 7.88
4 10,564,191 4.62 9.70 5.08
5 10,547,632 4.61 7.90 3.29
6 10,561,329 4.62 6.70 2.08
7 10,558,670 4.62 5.80 1.18
8 10,568,726 4.62 5.10 0.48
9 10,600,315 4.64 4.60 0.04

Benford's Law applied to
Human Chromosome (chr3)
:
(Instances processed: 188,330,859)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 103,795,521 55.11 30.10 25.01
2 10,557,347 5.61 17.60 11.99
3 10,571,741 5.61 12.50 6.89
4 10,583,852 5.62 9.70 4.08
5 10,584,713 5.62 7.90 2.28
6 10,575,470 5.62 6.70 1.08
7 10,559,242 5.61 5.80 0.19
8 10,527,414 5.59 5.10 0.49
9 10,575,559 5.62 4.60 1.02

Benford's Law applied to
Human Chromosome (chr4)
:
(Instances processed: 180,190,195)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 95,731,949 53.13 30.10 23.03
2 10,560,381 5.86 17.60 11.74
3 10,538,426 5.85 12.50 6.65
4 10,569,411 5.87 9.70 3.83
5 10,580,337 5.87 7.90 2.03
6 10,533,329 5.85 6.70 0.85
7 10,567,611 5.86 5.80 0.06
8 10,561,884 5.86 5.10 0.76
9 10,546,867 5.85 4.60 1.25

Benford's Law applied to
Human Chromosome (chr5)
:
(Instances processed: 172,293,312)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 87,847,914 50.99 30.10 20.89
2 10,518,744 6.11 17.60 11.49
3 10,566,467 6.13 12.50 6.37
4 10,588,132 6.15 9.70 3.55
5 10,562,353 6.13 7.90 1.77
6 10,560,147 6.13 6.70 0.57
7 10,563,194 6.13 5.80 0.33
8 10,538,579 6.12 5.10 1.02
9 10,547,782 6.12 4.60 1.52

Benford's Law applied to
Human Chromosome (chr6)
:
(Instances processed: 161,627,124)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 77,156,526 47.74 30.10 17.64
2 10,562,775 6.54 17.60 11.06
3 10,583,332 6.55 12.50 5.95
4 10,574,659 6.54 9.70 3.16
5 10,572,239 6.54 7.90 1.36
6 10,530,787 6.52 6.70 0.18
7 10,549,932 6.53 5.80 0.73
8 10,559,162 6.53 5.10 1.43
9 10,537,712 6.52 4.60 1.92

Benford's Law applied to
Human Chromosome (chr7)
:
(Instances processed: 151,107,574)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 66,589,264 44.07 30.10 13.97
2 10,571,118 7.00 17.60 10.60
3 10,571,623 7.00 12.50 5.50
4 10,572,994 7.00 9.70 2.70
5 10,580,595 7.00 7.90 0.90
6 10,574,326 7.00 6.70 0.30
7 10,559,759 6.99 5.80 1.19
8 10,532,145 6.97 5.10 1.87
9 10,555,750 6.99 4.60 2.39

Benford's Law applied to
Human Chromosome (chr8)
:
(Instances processed: 137,684,440)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 53,175,223 38.62 30.10 8.52
2 10,579,716 7.68 17.60 9.92
3 10,557,865 7.67 12.50 4.83
4 10,593,116 7.69 9.70 2.01
5 10,557,932 7.67 7.90 0.23
6 10,559,900 7.67 6.70 0.97
7 10,550,871 7.66 5.80 1.86
8 10,545,571 7.66 5.10 2.56
9 10,564,246 7.67 4.60 3.07

Benford's Law applied to
Human Chromosome (chr9)
:
(Instances processed: 115,842,825)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 31,313,029 27.03 30.10 3.07
2 10,548,064 9.11 17.60 8.49
3 10,564,151 9.12 12.50 3.38
4 10,577,123 9.13 9.70 0.57
5 10,557,026 9.11 7.90 1.21
6 10,564,202 9.12 6.70 2.42
7 10,579,250 9.13 5.80 3.33
8 10,562,335 9.12 5.10 4.02
9 10,577,645 9.13 4.60 4.53

Benford's Law applied to
Human Chromosome (chr10)
:
(Instances processed: 126,798,411)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 42,256,081 33.33 30.10 3.23
2 10,555,573 8.32 17.60 9.28
3 10,575,018 8.34 12.50 4.16
4 10,595,863 8.36 9.70 1.34
5 10,541,062 8.31 7.90 0.41
6 10,557,118 8.33 6.70 1.63
7 10,585,780 8.35 5.80 2.55
8 10,561,407 8.33 5.10 3.23
9 10,570,509 8.34 4.60 3.74

Benford's Law applied to
Human Chromosome (chr11)
:
(Instances processed: 128,118,848)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 43,484,891 33.94 30.10 3.84
2 10,551,080 8.24 17.60 9.36
3 10,565,421 8.25 12.50 4.25
4 10,573,908 8.25 9.70 1.45
5 10,640,790 8.31 7.90 0.41
6 10,592,831 8.27 6.70 1.57
7 10,594,171 8.27 5.80 2.47
8 10,561,915 8.24 5.10 3.14
9 10,553,841 8.24 4.60 3.64

Benford's Law applied to
Human Chromosome (chr12)
:
(Instances processed: 126,606,647)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 42,122,704 33.27 30.10 3.17
2 10,554,656 8.34 17.60 9.26
3 10,595,574 8.37 12.50 4.13
4 10,564,900 8.34 9.70 1.36
5 10,574,805 8.35 7.90 0.45
6 10,559,015 8.34 6.70 1.64
7 10,541,880 8.33 5.80 2.53
8 10,535,172 8.32 5.10 3.22
9 10,557,941 8.34 4.60 3.74

Benford's Law applied to
Human Chromosome (chr13)
:
(Instances processed: 93,042,003)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,582,846 11.37 30.10 18.73
2 10,565,826 11.36 17.60 6.24
3 10,553,352 11.34 12.50 1.16
4 10,520,864 11.31 9.70 1.61
5 10,531,777 11.32 7.90 3.42
6 10,531,967 11.32 6.70 4.62
7 10,534,625 11.32 5.80 5.52
8 10,560,542 11.35 5.10 6.25
9 8,660,204 9.31 4.60 4.71

Benford's Law applied to
Human Chromosome (chr14)
:
(Instances processed: 86,140,176)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,557,966 12.26 30.10 17.84
2 10,541,759 12.24 17.60 5.36
3 10,555,014 12.25 12.50 0.25
4 10,567,428 12.27 9.70 2.57
5 10,577,539 12.28 7.90 4.38
6 10,563,780 12.26 6.70 5.56
7 10,590,203 12.29 5.80 6.49
8 10,587,545 12.29 5.10 7.19
9 1,598,942 1.86 4.60 2.74

Benford's Law applied to
Human Chromosome (chr15)
:
(Instances processed: 80,543,437)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,569,114 13.12 30.10 16.98
2 10,577,056 13.13 17.60 4.47
3 10,558,310 13.11 12.50 0.61
4 10,572,722 13.13 9.70 3.43
5 10,577,820 13.13 7.90 5.23
6 10,577,569 13.13 6.70 6.43
7 10,577,372 13.13 5.80 7.33
8 5,477,036 6.80 5.10 1.70
9 1,056,438 1.31 4.60 3.29

Benford's Law applied to
Human Chromosome (chr16)
:
(Instances processed: 77,940,801)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,589,339 13.59 30.10 16.51
2 10,588,776 13.59 17.60 4.01
3 10,597,089 13.60 12.50 1.10
4 10,588,145 13.58 9.70 3.88
5 10,566,838 13.56 7.90 5.66
6 10,569,848 13.56 6.70 6.86
7 10,599,491 13.60 5.80 7.80
8 2,781,676 3.57 5.10 1.53
9 1,059,599 1.36 4.60 3.24

Benford's Law applied to
Human Chromosome (chr17)
:
(Instances processed: 79,002,031)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,580,531 13.39 30.10 16.71
2 10,648,387 13.48 17.60 4.12
3 10,580,088 13.39 12.50 0.89
4 10,575,845 13.39 9.70 3.69
5 10,571,981 13.38 7.90 5.48
6 10,562,940 13.37 6.70 6.67
7 10,583,740 13.40 5.80 7.60
8 3,840,395 4.86 5.10 0.24
9 1,058,124 1.34 4.60 3.26

Benford's Law applied to
Human Chromosome (chr18)
:
(Instances processed: 76,180,000)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,614,546 13.93 30.10 16.17
2 10,562,925 13.87 17.60 3.73
3 10,555,125 13.86 12.50 1.36
4 10,571,165 13.88 9.70 4.18
5 10,571,818 13.88 7.90 5.98
6 10,537,473 13.83 6.70 7.13
7 10,565,580 13.87 5.80 8.07
8 1,144,779 1.50 5.10 3.60
9 1,056,589 1.39 4.60 3.21

Benford's Law applied to
Human Chromosome (chr19)
:
(Instances processed: 55,597,399)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,564,831 19.00 30.10 11.10
2 10,584,186 19.04 17.60 1.44
3 10,571,049 19.01 12.50 6.51
4 10,565,208 19.00 9.70 9.30
5 9,087,068 16.34 7.90 8.44
6 1,055,489 1.90 6.70 4.80
7 1,055,739 1.90 5.80 3.90
8 1,057,014 1.90 5.10 3.20
9 1,056,815 1.90 4.60 2.70

Benford's Law applied to
Human Chromosome (chr20)
:
(Instances processed: 60,940,383)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,580,405 17.36 30.10 12.74
2 10,598,373 17.39 17.60 0.21
3 10,588,733 17.38 12.50 4.88
4 10,597,458 17.39 9.70 7.69
5 10,584,046 17.37 7.90 9.47
6 4,819,190 7.91 6.70 1.21
7 1,056,166 1.73 5.80 4.07
8 1,057,740 1.74 5.10 3.36
9 1,058,272 1.74 4.60 2.86

Benford's Law applied to
Human Chromosome (chr21)
:
(Instances processed: 38,115,046)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,529,961 27.63 30.10 2.47
2 10,563,484 27.71 17.60 10.11
3 10,578,269 27.75 12.50 15.25
4 1,148,334 3.01 9.70 6.69
5 1,069,376 2.81 7.90 5.09
6 1,060,406 2.78 6.70 3.92
7 1,056,415 2.77 5.80 3.03
8 1,056,498 2.77 5.10 2.33
9 1,052,303 2.76 4.60 1.84

Benford's Law applied to
Human Chromosome (chr22)
:
(Instances processed: 37,351,488)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,591,679 28.36 30.10 1.74
2 10,601,564 28.38 17.60 10.78
3 9,801,768 26.24 12.50 13.74
4 1,061,763 2.84 9.70 6.86
5 1,057,600 2.83 7.90 5.07
6 1,057,919 2.83 6.70 3.87
7 1,059,349 2.84 5.80 2.96
8 1,060,373 2.84 5.10 2.26
9 1,059,473 2.84 4.60 1.76

Benford's Law applied to
Human Chromosome (chrX)
:
(Instances processed: 147,241,576)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 62,762,843 42.63 30.10 12.53
2 10,552,071 7.17 17.60 10.43
3 10,556,165 7.17 12.50 5.33
4 10,557,831 7.17 9.70 2.53
5 10,595,279 7.20 7.90 0.70
6 10,590,334 7.19 6.70 0.49
7 10,557,268 7.17 5.80 1.37
8 10,527,194 7.15 5.10 2.05
9 10,542,591 7.16 4.60 2.56

Benford's Law applied to
Human Chromosome (chrY)
:
(Instances processed: 25,131,222)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 10,582,147 42.11 30.10 12.01
2 7,164,316 28.51 17.60 10.91
3 1,051,416 4.18 12.50 8.32
4 1,051,424 4.18 9.70 5.52
5 1,052,916 4.19 7.90 3.71
6 1,056,924 4.21 6.70 2.49
7 1,057,379 4.21 5.80 1.59
8 1,059,230 4.21 5.10 0.89
9 1,055,470 4.20 4.60 0.40

Benford's Law applied to
Human Chromosome (chrMT)
:
(Instances processed: 15,947)
First
Digit
1st Digit
Count
1st Digit
Percent
Benford
Percent
Difference
1 7,397 46.38 30.10 16.28
2 1,076 6.75 17.60 10.85
3 1,069 6.70 12.50 5.80
4 1,058 6.63 9.70 3.07
5 1,068 6.70 7.90 1.20
6 1,075 6.74 6.70 0.04
7 1,076 6.75 5.80 0.95
8 1,063 6.67 5.10 1.57
9 1,065 6.68 4.60 2.08

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