Calculating median value from time data series

[Mekire]

I don't know whether or not there is some convenient way to do this, but simply sorting them and finding the middle (or 2 middles in the case of an even length sequence) is straightforward.

>>> length = len(df2_datetime_format)
>>> length
3
>>> df2_datetime_format
0   2018-08-22 02:00:00
1   2018-08-22 03:00:00
2   2018-08-22 04:00:00
Name: Value, dtype: datetime64[ns]
>>> sorted(df2_datetime_format)[length//2]
Timestamp('2018-08-22 03:00:00')

Not sure if that is sufficient to your needs.