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Default sumproduct

I want the weighted average of selected items in an array. The items should
be identifiable by a criteria. For example if column A5:A12 has characters
A,B,A,C,A,D,E,E and columns B5:B12 and C5:C12 have some values , I want the
weighted average of columns B and C using A as the criteria. How to do it ?

 
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