*Communications in Applied Geometry* (Vol 13, no. 2, pp. 185-186). The paper shows that a statistical margin of error for the mean of variable x taken from a random sample of size n from a population of interest of very large, possibly infinite, size can be presented as an extension of the Pythagorean distance between two vectors, where one vector, Vm, represents the mean of the random sample, and the other, V1, is found by summing the n values of x and letting these n summed values form the elements of V1.