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Pandas 0.25.0 adds Series[datetime64[ns, tz]].mean() and DatetimeIndex.mean(). We should as well
In [1]: import pandas as pd In [2]: pd.Series(pd.date_range('2000', periods=4)).mean() Out[2]: Timestamp('2000-01-02 12:00:00') In [3]: pd.__version__ Out[3]: '0.25.0.dev0+862.g02b552d28'