A non-monotonic convergence analysis of population clusters of random numbers.

Abstract

The standard deviation of a population (of size N ) is a measure of the spread of the population observations about the mean. A population may be clustered and the standard deviation of each cluster calculated. This paper looked at how the mean of the standard deviations of the clusters of a population of random numbers relate to the standard deviation of the population as the size of the clusters increased. We assumed that all clusters have the same size.