DC conductivity in ionic conductors is proportional to the hopping rate of the charge carriers. The hopping of the charge carriers can result in a dielectric loss peak and the DC conductivity is also proportional to the loss peak frequency. In the present study, the AC conductivity of 12 mol.% Y2O3, doped ZrO2, has been measured and the relationship between the hopping frequencies characteristic;of the AC conductivities and dielectric loss peak frequencies has been examined. In addition, the peak frequencies in the complex impedance plane were also measured, to compare with the hopping frequencies. It has been demonstrated that two sample constants can be used to connect the three frequencies. It is suggested that the three frequencies are a consequence of a common phenomena and that all result from the hopping process of the charge carriers.