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Interpolation Problem


I have the following list:


AA1 = {{55.3346, 694.253}, {55.3373, 691.275}, {55.34, 
   688.323}, {55.3426, 685.396}, {55.3453, 682.494}, {55.348, 
   679.617}, {55.3506, 676.765}, {55.3533, 673.936}, {55.356, 
   671.131}, {55.3565, 668.277}, {55.3565, 665.428}, {55.3565, 
   662.604}, {55.3565, 659.803}}


By interpolating the data, I get an error:


AA2 = Interpolation[AA1, InterpolationOrder -> 1]

"Interpolation::inddp: The point 55.3565` in dimension 1 is duplicated. >>"


Therefore, I want to delete the duplicated terms:


DeleteDuplicates[AA1[[All, 1]]]

But how do I merge these values with the correct values of the second part in list AA1 (694.253 until 659.803?




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