An Exploration of Benford's Law

Benford's Law is an observation of the frequency of distribution of leading digits in sets of numerical data. In many naturally occurring collections of numbers, the law states that it is most likely that the leading digit is small. In sets that obey this law, the digit "1" appears as the leading digit about 30% of the time while "9" is the leading digit about 5% of the time. This is contrary to the expectation that the occurance of digits would be distributed evenly at about 11.1%.