I would like to write an equation to sum the values of each number in a vector divided by the length of the vector. What is the proper way to write this formula?
As an example, consider vector v:
v = [1, 2, 3, 4]
2.5 = 1/4 + 2/4 + 3/4 + 4/4
Is this the proper way to write this?
$$\sum_{i=1}^N \frac{i}{length}$$
Best Answer
As noted, this is the arithmetic mean of the elements in $v$. You can indicate this in a number of ways such as:
$$\sum_{x\in v} \frac{x}{|v|} = \sum_{i=1}^{|v|} \frac{v_i}{|v|}$$