I have a data that can have different distribution. For example every time I get a set of different data : 1, 2, 3, 4. I use metric MAPE and try to find best point to minimize my MAPE. Is there a universal formula that can take my set of data everytime and after that give me best point for prediction for each set of data? If it would be MSE I would take mean (2,5 for example set) of data for each set, if i would use MAE I would take median of each set but what should I take for each set if I use MAPE ?

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