Benford's Law: Why So Many Numbers Start With One
Around thirty per cent of numbers in real datasets begin with 1, and only five per cent with 9. People inventing figures don't reproduce that — which is how the pattern became an auditing tool.
Around thirty per cent of numbers in real datasets begin with 1, and only five per cent with 9. People inventing figures don't reproduce that — which is how the pattern became an auditing tool.
One die is flat. Ten dice added together make a bell curve. The shape is a property of adding independent things — which tells you exactly when to expect it and when not to.
Seven heads in ten flips is unremarkable; seventy thousand in a hundred thousand would be extraordinary. The same probability, different room for chance — with consequences most people miss.
A treatment beats its rival for small stones, beats it for large stones, and loses when you combine the patients. Nothing was miscalculated — which is what makes it worth understanding.
A rare disease, a 99% accurate test, a positive result — and roughly a 9% chance you're ill. The gap comes from one number most people leave out entirely.
The world's tallest person barely moves a room's average height. The world's wealthiest moves it by a factor of millions. Almost all statistical intuition is built for the first case.
Praise a great performance and the next is worse; criticise a bad one and the next improves. A flight instructor learned this lesson over years of observation — and it was never about motivation.
The hardest problems left in quantum computing are as much about error correction and business cases as they are about qubits.
Finding a biosignature in another planet's atmosphere wouldn't prove life exists. It would just make the silence a lot more interesting.
Elliptic curve cryptography secures a huge share of the internet's traffic, and almost none of its users could describe what it actually does.