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Standard deviation is the square root of the variance of a random variable, an estimator thereof, or a similar measure of the spread of a batch of data.

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How can I calculate the SD of a Gaussian obtained from sampling a binomial distribution

Like Tim said, its distribution is Binomial and its variance = np(1-p). From your question this should be enough. You could approximate the Binomial distribution with the Normal distribution by the c …
wasserslasken's user avatar