Sumproduct and ignoring empty cells

Hi there!
I am working on creating a grade book with Numbers. And I would need help to find my way around a problem.
To calculate the general grades in the "I" column, I used the following formula to assign coefficients (weight of each assignement on line 2) to a range of cells containing a grade (result of a formula calculating the average grade for each assignment).
*I3 =SUMPRODUCT(B3:H3,$B$2:$H$2)*
(Line 3 is for a specific student, columns B-H for the average grades of students on 7 types of assignments that need to be shown).
I need to be able to give a general grade at any time during the semester, before all assignments taken.
Problem:
I cannot get a general grade (I3) until all the averages of all the assignments(B3:H3) are calculated (I guess because they contain references to cells with formulas: red arrow displayed until grades are entered).
Question:
Is there a way to calculate the general grades, respecting the assigned coefficients while ignoring the cells that don't have a numbered result.
The idea would be =SUMPRODUCT(cells with numbered result (B3:H3), $B$2:$H$2 only match when corresponding line 3 cell has numbered result)
I AM REALLY SORRY, I am new at this and it's hard for me to explain the problem in a more concise manner. I hope I made some sense!
THANK YOU FOR YOUR PATIENCE!

You were right, the reason why I was getting a red arrow is because AVERAGE cannot handle empty values.
Using =IF(COUNT(B2:D2)=0,0,SUM(B2:D2)/COUNT(B2:D2)) will return 0 as a grade...which would lower the actual final grade of a student.
That is why I was wondering if cells with no numbered value (or now with 0% as a value) could be ignored.
To have an average of the cells with an actual grade, respecting their Weight, I would need to have a (group of) function(s) doing the following:
1-Select each cell with value > 0% and multiply it by the assigned WEIGHT.
2-Sum of the individual products obtained.
3-(multiplied by 100%)divided by sum of all used assigned Weights
In the following picture you will see the actual grades for Interro and Participation, the 0% grades that should be ignored, the Total (20%) that is wrong because these cells were not ignored ...and the (hopefully) Real Total (78.8%) that I obtained typing:
=(Interrogations 'Student'*'Interrogations ' WEIGHT+Participation 'Student'*Participation WEIGHT)*Total WEIGHT/('Interrogations ' WEIGHT+Participation WEIGHT)
!http://i249.photobucket.com/albums/gg221/KathyFR/RealAverage.jpg!
Can you think of formula that would select the cells and make the calculations on its own (and that I could then drag to calculate the current total grade of all students throughout the semester)?
(Now, I don't want to waste too much of your time...I can understand if you want to give up on me! Thanks for all you've done already! Hope you have some fun thinking about the problem).

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</div>
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Maybe it's what schubladenschrank was offering but I don't read Deutsch.
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