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Default How to average values based on time period

I have a table with several columns: two of which are labeled Date and Value.
I want to extract the average from the Value column based on a date
criteria. For example, what is the average value for the last week? For the
last month? For the last year? Can I do this with DAVG and, if so, what
should the criteria be? If not, is there a formula I can use to get this
done?
 
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