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Default Applying formulas to filtered data

Sorry if this is a basic question, but I can't find an answer within the help
menu. I have Office 2007.

I have a worksheet with 119 rows and multiple columns of data. I have
applied a filter to the first 4 columns (of the many - the rest of the colums
just contain raw data I want to filter) so I can filter data by certain
type/criteria.

I want to apply simple formulas at the bottom of my overall data based on
different filters. For Example, if I just want to sum up the entire column
of my data, I'll do =sum(F6:F124). But then I also want to come up with the
sum of the same column after I apply the filter. So, after I do the filter I
may only have 12 data points (rows) that match the filter criteria. Those
data do not come from sequential rows, but they come pretty randomly, so, if
I do the sum of those data, and select the remaining cells, it will be
=sum(F12:F83). The 12 data come from somewhere between rows 12 and 83, but
the formula is summing ALL rows between 12 and 83... even though when the
filter is applied and I select the cells for my SUM formula I only see 12
rows (row 12,13,14,15,32,33,54,55,80,81,82,83). Those are the only rows I
want it to SUM.

Is there a way to use these filters and also a formula to use to apply it
only to the cells that are applicable to the filter, but not the cells that
are filtered out inbetween? (I will also be doing similar simple formulas
using division of different SUMs from different columns, etc.)

Sorry for the long explanation, I was just trying to make my problem make
sense.

Thanks for the help.
 
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