Central Limit Theorem

Theory of statistical regularity that under general conditions the average of data observed over time tends to be distributed as a normal distribution. Its usefulness lies in its complete generality: no matter how a variable changes, the sum of its values will show a normal distribution if enough measurements are taken. It forms the basis of the law of large numbers and was formulated by the Russian mathematician Alexandr Mikhailovich Lyapunov (1857-1918) drawing upon the work of the French mathematician Pierre-Simon Laplace (1749-1827).

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