One fairly straightforward way of doing this would be to track the timestamps in a separate list, then use np. Concatenate (the documentation on this function is quite helpful) with the axis=1 keyword argument to join the timestamps array to your averages array. The biggest problem I see with this approach, however, is that as written, your AVERAGES variable will be appended with strings and not floats, whereas NumPy arrays are homogeneous in data type.
Without some more details about the problem you are trying to solve, I don't have a concrete suggestion for how to fix this other than to use the strptime and mktime functions of Python's time module to convert timestamps to floats.
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