Don't know specifically, but you can get data from exchanges, which is not exactly what you described, but close.  How far back do you want?  It gets very weird in the early days.

elvismercury

bitcoin

I have a hypothesis around bitcoin I'd like to test.

To test it somewhat adequately I need a dataset that might be described as follows: 1 row per date, the total bitcoin sold on that date, and the average price the sellers paid for the bitcoin. 

Does anyone know if this data exists somewhere or how to get it?

Thanks in advance - Voldy