Week 14
Benford’s Law states that in many naturally occurring datasets, the leading digit is not uniformly distributed. Instead, the digit 1 appears as the first digit about 30.1% of the time, while 9 appears only about 4.6% of the time. The probability of a leading digit d is given by:
$$ \begin{aligned} P(d) = \log_{10}(1 + \frac{1}{d}) \end{aligned} $$This pattern emerges in surprisingly diverse data: population counts, financial statements, street addresses, electricity bills, stock prices, and even physical constants [1].
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