SUMIF Question: SUMIF not blank

Hi. I have a question about how to do something I'm guessing is very simple, but elusive to me nonetheless. I want to print the sum of the data in a range of cells (say F2:F4) in another cell (say F5), but I only want to do that if there is data in one of the cells that I'm summing.

I can get it to print the sum, but if they the cells I'm summing are blank, I don't want to print anything in the target cell. I've tried various things, but I always get a 0 to print if the cells are blank. Anyone know what I should do to get it do print nothing in that cell? The 0 is messing up a graph that is tied to the data.

Any help is MUCH appreciated!

Try this:
=if(sum(F2:F4)=0,"",sum(F2:F4))

Yes! Thanks so much.

Except that will leave my target cell blank if I had explicitly set 0 in any of my range cells. In that case, I really do want a 0.

Try testing for numbers in the range, i.e.

=IF(COUNT(F2:F4),SUM(F2:F4),"")

That works. No value is populated unless there are numbers (incl. 0) in at least one of the cells in the range. For some reason, though, my graph still reads sets it's value to 0 if there is anything in that cell -- 0, formula, character, whatever. I'll look into that separately.

Much thanks for your help.