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Default Average Time - With a Twist

Thank you in advance for all the help.
I have read the recent posts about averaging time, but none fit my question.
I am trying to average a set of times that are on both sides of 12midnight.
All of the formulas I have been attempting are averaging the times as if they
are times of day that are several hours apart; when in fact they are just a
couple of hours apart. The times for my example a
12:45 am
11:01 pm
2:05 am
The average of these times should be 12:37 am. 'Simple' average formula
results in 8:37 am. I have toyed with some of the other formulas mentioned
in the others posts, but to no avail. Thanks again for all the help.
Dan
 
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