Weighted arithmetic mean

2 artículos

Recreational, History & Meta GradoExplicación9 min

Thirty Seconds From a Cord That Burns Unevenly, on Any Cord At All

Halving the length and timing the flame is not a biased estimator of half the time, it is unrelated to it: across four thousand random cords the midpoint method scattered from under fifteen seconds to over forty-five. Lighting both ends gives exactly thirty on every cord, by an argument that never evaluates the burn rate.

Probability & Statistics BachilleratoExplicación9 min

One White Marble, Alone in a Jar, Is Worth 74/99

Fifty white marbles, fifty black, two jars, and a fair coin choosing which jar gets drawn from. The even split gives exactly one half, and so does every other split where the jars are the same size. Isolating a single white marble reaches 74/99, an exchange argument proves nothing beats it, and three quarters turns out to be a ceiling no arrangement ever touches.