I would like to calculate the average of a a set of numbers without knowing the sum of the set. In other words, I want to calculate the average with knowing as little information as possible.
Note: I do not want to use $\frac{sum}{total}$
I am using looping (induction, I believe) to calculate the average.
I would like to keep track of only one variable, say x, which is equal to the current accuracy.
Is it possible to calculate x without knowing sum?
In summary: seeking how can you calculate the new average knowing only the number of elements and the current average.