Translating: Average and see how far each observation is from the average. To decrease, started to increase! And the scientists of the time began to wonder why and the answer is that our world is not deterministic but stochastic, that is, events have an intrinsically random feature! Even if we had the best data collections and knew the perfect model of nature, Yet it would not guarantee a good prediction, as there are random factors that we do not control. So we started to improve the quality of the equipment and as expected, the errors decreased, and this encouraged to create better and better equipment, but as the equipment became more and more accurate, something bizarre started to happen, the errors instead. We call this curious fact the central limit theorem. Galton box is a machine that tries to demonstrate that different distributions converge to the normal distribution. Laplace devoted an entire volume of his astronomical predictions just to dealing with errors. In analyzing these small deviations, they noticed that he always followed a certain distribution. The model looked pretty good so it should be the fault of the instruments, and so they started producing ever more accurate equipment. Either the model would be wrong or our equipment that collects this data is not good / sensitive enough. We expected the planet to be in a position and it was slightly in the “wrong place.” There were two possible explanations for this phenomenon. We call this curious fact the central limit theorem.Ī little earlier, in the eighteenth century, when making some measurements of the position of the planets, there were some slight deviations. Galton Board is a machine that tries to demonstrate that different distributions converge to the normal distribution.
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