Flexible Range Formula

[sgrey24]

I need a formula that will return the minimum value from a column range that flexs without having to manually go in an change row references. There is a blank row between each section of data in order to separate info.

As an example:
Assumes Column A
Row 5 = 11
Row 6 = 12
Row 7 = 9
Blank Row
Row 9 = 12
Row 10 = 11
Row 11 = 15
Row 12 = 6
Row 13 = 11
Blank Row

Need to formula to flex to include rows 5 thru 7 in the first section but expand to include rows 9 thru 13 in the second section. =MIN(A5.A7) works but how do I get next section to flex to =MIN(A9.A13) without manually changing the cell references? There is always a blank row in between the sections to separate.

Any help that you can send my way would be greatly appreciated.