Wednesday 20 April 2022

Yes, my all time reading is a good match for Benford's law.


Yes, my all time reading is a good match for Benford's law. · Benford's law and some recent stats

I used stats from the last three blogs I wrote on, and after that alphabetically down to HGL's FB Writings. I took views on "articles" (French for "posts") and "pages". I piled up those starting in 1, those starting in 2, and so on.

1,9 k 1,61 k 1,58 k 1,44 k 15,6 k 14,6 k 13,8 k 1,67 k 1,42 k 1,21 k 196 190 163 159 151 130 127 124 119 118 13 k 1,37 k 1,66 k 1,64 k 1,57 k 1,7 k 1,67 k 1,46 k 1,43 k 1,63 k 199 183 188 155 154 1,06 k 1,97 k 1,88 k 1,86 k 1,83 k 1,72 k 1 1 1 1 1 1,67 k 1,02 k 1,7 k 1,4 k 1,99 k 1 k 1,13 k 1,42 k 1,02 k 175 124 122 13,9 k 1,21 k 1,08 k 1,08 k 1,69 k 1,07 k - 64 start in 1

26,3 k 2,94 k 2,94 k 2,9 k 2,45 k 252 219 211 208 2,82 k 2,21 k 2 2,55 k 2,13 k 2,97 k 2,96 k 2,79 k 2,69 k 2,66 k 2,59 k 2,54 k 2,54 k 270 202 285 203 2,16 k 2,98 k 2,01 k 20,2 k 2,71 k 2,42 k 270 265 246 246 238 232 2,55 k 2,52 k 2,5 k 2,48 k 2,26 k 2,13 k 2,79 k 2,56 k 2,52 k 2,16 k 2 k 250 - 50 start in 2

39,1 k 327 33 3,11 k 3,06 k 3,04 k 3,22 k 383 376 3,55 k 3,41 k 3,02 k 3 395 387 317 316 387 376 342 3,89 k 3,53 k 3,29 k 3,18 k - 24 start in 3

40 4 4,17 k 425 414 467 48 48 46 4,69 k 4,39 k 4,09 k 4,07 k 4,79 k 4,76 k 4,23 k 4,56 k 4,41 k 4,34 k 19 start in 4

5,78 k 560 5,94 k 54 52 52 544 579 565 - 8 start in 5

678 665 610 600 6,13 k 663 67 67 64 643 60 6,67 k 6,64 k 6 649 67 - 16 start in 6

792 751 7,2 k 767 750 742 775 769 73 79 753 79 76 - 13 start in 7

82 81 862 894 876 881 827 826 851 846 840 836 857 - 13 start in 8

930 9,31 k 96 996 909 961 934 900 91 964 993 993 977 938 929 95 92 - 17 start in 9

64 start in 1 - 0.2857142857142857 (low by 1.53 % units)
50 start in 2 - 0.2232142857142857 (high by 4.72 % units)
24 start in 3 - 0.1071428571428571 (low by 1.79 % units)
19 start in 4 - 0.0848214285714286 (low by 1.22 % units)
8 start in 5 - 0.0357142857142857 (low by 4.33 % units)
16 start in 6 - 0.0714285714285714 (high by 0.44 % units)
13 start in 7 - 0.0580357142857143 (exact)
13 start in 8 - 0.0580357142857143 (high by 0.7 % units)
17 start in 9 - 0.0758928571428571 (high by 2.99 % units)

64 + 50 + 24 + 19 + 8 + 16 + 13 + 13 + 17 = 224
64 / 224 = 0.2857142857142857 = 28.57 % < 30.1 %
50 / 224 = 0.2232142857142857 = 22.32 % > 17.6 % et c.

One of the digits the numbers could start with is exactly at 5.8 %, namely 7, which also should have 5.8 %. There are 9 different digits a number can start with, and of the eight others, four are high, four are low.

If I had invented the numbers, my pretended irregularity would not be irregular enough, and there would be stronger over representation of certain numbers./HGL

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