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Evaluation of the integral properties of Gaussian Statistics is problematic because the Gaussian function is not analytically integrable. We show that the expected value of the greatest order statistics in Gaussian samples (the max distribution) can be accurately approximated by the expression 0"(0.5264'/"), where n is the sample size and @' is the inverse of the Gaussian cumulative distribution function. The expected value of the least order statistics in Gaussian samples (the mindoi:10.1080/00927879908826834 fatcat:su4em32nvzhchlxte4ttc2e3ea