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Today's episode is all about a person called Sir Donald Bradman.  Who is the greatest sportsperson in history?  You could just pick your personal favourite. If you like soccer, then Pelé is probably the greatest sportsman. Those who prefer baseball would most likely plump for Ty Cobb. But is there a way of objectively deciding who's the greatest of the great?

Yes, and the answer is Australian cricketer Sir Don Bradman (1908-2001). Why? It's all down to ?, the standard deviation - a fantastically useful, yet often misunderstood, mathematical technique. 

This brings us back to sports and Don Bradman. If you calculate the mean and the ? for some measure of sporting achievement, you can work out how many ? above (or below) the mean any given player is. In soccer, you might pick goals scored per match. In baseball, you might go with the batting average.

It turns out that if you do this, Don Bradman is the greatest sportsman of all time: his batting average was 4.4 ? above the mean for professional cricketers. Pelé comes second, as his goals-per-game was 3.7 ? above average, while Ty Cobb's batting average was 3.6 ? high. Bradman was the best cricketer ever, and Pelé was the best footballer ever, but Bradman was the best by a much larger margin than Pelé was.


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