Observed Data Containing One Parameter and Chance Error: Evaluation of the Parameter Applying Pythagorean Mean

Abstract

In order to evaluate the appropriate value of the parameter from observed data containing the parameter itself and chance error, one method has been developed for evaluation of the parameter as the existing statistical methods of estimation in such situation fail in finding out the appropriate value of the parameter. The method developed here is based on the Pythagorean means This paper describes the derivation of this method with one numerical application in evaluating the central tendency of the observed data on each of annual maximum and annual minimum of ambient air temperature at Guwahati.