Non parametric inferential statistics was used to guide the numerical optimization study to search for the optimum result in this article. The technique was demonstrated in a case study and a significant improved predictive model was formulated with 4% less residual sum of squares (RSS) than the median model, 20% less than the mean model and 79% less than a benchmarked empirical model. The methodology proposed herewith addressed the selection dilemma between mean and median. It identified an optimum value and formulated a better predictive model than those by either mean or median
