Take a set of numbers collected from “the wild”. You might take company profits, city population statistics, street numbers or odometer readings. How many of the numbers in your set start with “1″? how many with “2″? with “3″?, “4″? …
Amazing as it sounds, these leading digits are NOT evenly distributed but follow a pattern (30% “1″s, down to less than 5% “9″s). This pattern is so reliable, it’s been used in fraud detection, to trap companies cooking their books: the invented numbers did not follow Benford’s Law.
Follow the link for a fascinating explanation of why this is so.
Is That a Big Number is now a book, published by Oxford University Press. (Google ISBN 0198821220 to find many online booksellers). Although there is serious purpose behind the book - to explore how we think about numbers and how we can understand big numbers - it’s written in a light and engaging style.
Entertaining, full of practical examples, and memorable concepts, Is That A Big Number? renews our relationship with numeracy. If numbers are the musical notes with which the symphony of the universe is written, and you’re struggling to hear the tune, then this is the book to get you humming again.
This video recreates the classic “Powers of Ten” film, zooming out to larger and larger scales to the limits of our understanding of the universe, and then zooming in again, down to the smallest things we know about.
It’s an excellent way of illustrating relative magnitudes of distance. One gripe: it all happens a bit too quickly: try watching it at half speed.
