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Excel, Sum best N numbers in range

Recently I faced an interesting challenge. How to create an Excel formula for calculating the final sum of the best N scores out of M (where N > M)?

The real situation is as follows. In our chess club we have 16 tournaments per year. The winner is the player who scores the most points in 12 tournaments. So, I have to sum the best 12 scores out of 16.

I was trying with different functions. An interesting one was the RANK.AVG function, which returns the rank of value in the specified range. With some additional formulas and a special transformation table I finally succeded. But …. It was to complicated and I was not happy with it.

As it is usualy so, I found another function after spending to much time.

The right function is LARGE or her sister SMALL:

The final formula in may case was:


(in the first step I sum all values and then subtract the four worst scores)