I was recently reading a Malcolm Gladwell article about the invention of the computer mouse and came across this statistical definition of genius and creativity:

The psychologist Dean Simonton argues that this fecundity is often at the heart of what distinguishes the truly gifted. The difference between Bach and his forgotten peers isn’t necessarily that he had a better ratio of hits to misses. The difference is that the mediocre might have a dozen ideas, while Bach, in his lifetime, created more than a thousand full-fledged musical compositions. A genius is a genius, Simonton maintains, because he can put together such a staggering number of insights, ideas, theories, random observations, and unexpected connections that he almost inevitably ends up with something great. “Quality,” Simonton writes, is “a probabilistic function of quantity.”

Simonton’s point is that there is nothing neat and efficient about creativity. “The more successes there are,” he says, “the more failures there are as well”—meaning that the person who had far more ideas than the rest of us will have far more bad ideas than the rest of us, too.

To put this in graph terms: as time increases, a creative person has an increasing number of ideas, a line with positive slope. Underneath this overall line of ideas is another positive line tracking the unsuccessful ideas and below that, increasing steadily but perhaps at a slower rate, is the line of successful ideas. In other words, the more overall ideas someone has, the more failures but also the more quality ideas.

The rest of the article is about creating the right structural environment to take advantage of ideas. Most groups and organizations won’t recognize all the best ideas but innovative organizations find ways to encourage and push the good ideas to the top. Indeed, the clincher at the end of the article is that Steve Jobs, supposedly one of the best innovators America has had in recent decades, missed some opportunities as well.