This study introduces two kinds of Pythagorean exponent and their applications. And we propose the mathematical and statistical analysis for them, and suggest they can be applied to sports data, which is related to the winning percentage. The first one is M pe which is obtained from mathematical analysis, and calculated based on a deterministic model. The second one is a S pe obtained from statistical analysis, and it is derived based on probabilistic model. For the application, we compare the two results using the records of teams participating in Major League Baseball (MLB) from 1901 to the present. The value of M pe calculated by the mathematical method is approximately 2.039 and the value of S pe inferred from the statistical method using the regression model of the winning percentage is 1.854. Furthermore, the value of M pe of the 16 teams which have participated in MLB since 1901 statistically varies depending on post season advances and actual winning percentage, and the sufficiency of the two results compared using mean absolute percentage error (MAPE) and correlation between the predicted and observed winning percentage.