Central Limit Theorem Calculator

Large-sample normal approximation for iid observations; may be inaccurate for small samples or heavy tails.

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Result

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Check the units, enter your values, and run the tool. Results follow the assumptions and method below.

Standard error of sample meansd/sqrt(n)

Normal-approximation cumulative probability(1+erf((x-mean)/(sd/sqrt(n)*sqrt(2))))/2