In this paper, we derive the large deviation principle for the Potts model on the completebipartite graph Kn,n as n increases to infinity. Next, for the Potts model on Kn,n weprovide an extension of the method of aggregate path coupling that was originallydeveloped in the work of Kovchegov, Otto, and Titus [J. Stat. Phys. 144(5), 1009-1027 (2011)] for the mean-field Blume-Capel model and in Kovchegov and Otto [J.Stat. Phys. 161(3), 553-576 (2015)] for a general mean-field setting that included thegeneralized Curie-Weiss-Potts model analyzed in the work of Jahnel et al. [MarkovProcess. Relat. Fields 20, 601-632 (2014)].We use the aggregate path coupling methodto identify and determine the threshold values separating the rapid and slow mixingregimes for the Glauber dynamics of the Potts model on Kn,n.