A Test of the Gaussian-ness of a Data Set Using Clustering

The properties of the ``magnifying glass´´ method of clustering are discussed. These properties, which include unbiased and consistent estimation of the mean for Gaussian distributions and biased and inconsistent estimation of the mean for non-Gaussian distributions, lead to the development of a technique for testing data to determine whether or not it is Gaussian. An example of a non-Gaussian distribution is given to show the sensitivity of the proposed Gaussian test.