remarkably, the frequency of the numbers of digits, d, usually follows a log law:

F(d) = log(1 + 1/d)

values from this (theoretical) frequency distribution are shown above

students could see how this distribution compares with

real-life data e.g.

- house numbers of people in their class or year group
- populations of cities in a country
- lengths of longest rivers in the world
- populations of countries in the world
- lead digits of scientific constants

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