Pretty much the title.
I understand this is a law but can there be a reason why this happens?
For background: for almost all real life data like population, GDP and other real word stats, probability of it having 1 is like almost 30% which keeps decreasing with 9 to be least probable.
But why this happens, is this just a fascinating pattern in randomness?
In: 130
It works when the numbers are spread equally *logarithmically*. For example, consider a set of numbers equally distributed in the range 1..6. Now look at a second set of numbers formed by raising 10 to the power of each of those first set numbers. You now have a set of numbers in the range 10 .. 1,000,000, but they’re not evenly distributed. You’ll find that about a sixth of them are in the range 10 . .99, a sixth in the range 100,000 .. 999,999, and so on. When you look at the first digits of those numbers, they obey Bentford’s law.
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