Q: Why does the leading digit 1 appear more often than other digits in all sorts of numbers? What’s the deal with Benford’s Law?

Q: Why does the leading digit 1 appear more often than other digits in all sorts of numbers? What’s the deal with Benford’s Law?

Mathematician: Benford’s Law (sometimes called the Significant-Digit Law) states that when we gather numbers from many different types of random sources (e.g. Now notice that if we have a number whose leading digit is 5, 6, 7, 8, or 9, and we multiply that number by 2, the new leading digit will always be 1. The result in every case shown is that this leads to a distribution of leading digits that fits Benford’s Law quite well. Besides just being generally bizarre and interesting, Benford’s Law has lately found some real world applications. Distribution Uniform Probability Density Function Distribution of Leading Digit Of Samples Distribution of Leading Digit Taking Samples From 9 Such Distributions With Different VariancesDistribution Normal Probability Density Function Distribution of Leading Digit Of Samples Distribution of Leading Digit Taking Samples From 9 Such Distributions With Different VariancesDistribution Laplace Probability Density Function Distribution of Leading Digit Of Samples Distribution of Leading Digit Taking Samples From 9 Such Distributions With Different VariancesDistribution Log Normal Probability Density Function Distribution of Leading Digit Of Samples Distribution of Leading Digit Taking Samples From 9 Such Distributions With Different Variances

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