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Some average index models on intuitionistic fuzzy sets (IFS) are presented in this paper. By analyzing the membership function, the non-membership function and the hesitancy function, a weighted arithmetic mean index and a geometric mean index on IFS are introduced, along with the verification of some mathematical properties of these average Indexes. Finally, a multiple attribute decision making example applied to practical teaching evaluation is given to demonstrate the application of these statistical indexes. The simulation results show that the evaluation method of the average index is an effective method.