This study seeks to determine the mathematical model for the transfer function characteristics of a single-input-single-output (SISO) electrical power distribution system with a view to understanding better, how the variation in input variables affects the overall output of electrical power distribution. It involved taking input-output data from a real life electrical power distribution system over a given period of four months and developing a transfer function model for the system so as to determine its operations efficiency using SPSS software. From the analysis carried out, the value of (coefficient of performance) in the month 1-2 was found to be 0.670 while the value was 1.065 in the month 3-4. The higher the value of the more efficient is the power distribution system.