2799	 Stably Updating Mean and Standard Deviation of Data	 By considering the sample mean of a set of data as a fit to this data by a constant function a computational method is given based on a matrix formulation and Givens transformations. The sample mean and standard deviation can be updated as data accumulates. The procedure is numerically stable and does not require storage of the data. Methods for dealing with weighted data and data removal are presented. When updating the mean and square of the standard deviation the process requires no square roots. mean standard deviation least squares Givens transformation updating estimates removing data
