Average ifs with or in excel

Question

So, I have this problem, I would like to find the average of a column by using the OR function to check criteria from adjusted columns, I tried putting OR into AverageIf function, fail, also tried the "Average(IF(OR(" again not the correct return. Thought it is a simple thing could be done easily but don't know why it doesn't work. So my table is something like this:

ID:  Rate   Check 1 Check 2 Check 3  
1    5         1       1       1
2    3         1               1
3    2                 1
4    4
5    5         1       1
6    3    
7    4         1         

I would like to find the average of the rate column by checking if there are any value in either Check 1; Check 2 or Check 3 columns, so in the above case i will get the average of all but row with the id 4 and 6. Is this possible without using a helper column?

Answer 1

You can use SUMPRODUCT()

=SUMPRODUCT(((C2:C8<>"")+(D2:D8<>"")+(E2:E8<>"")>0)*(B2:B8<>"")*B2:B8)/SUMPRODUCT(--((C2:C8<>"")+(D2:D8<>"")+(E2:E8<>"")>0)*(B2:B8<>""))