A weighted average for the collection of numbers $\{x_1,x_2,...,x_n\}$ is defined as,
$({\sum_{i=1}^n w_ix_i})/({\sum_{i=1}^n w_i})$
where $w_i$ is the weight of $x_i$. Is there any specific term for the special case when $\forall i, w_i=x_i$ and $x_i\in [0,1]$?
If not what will be the interpretation of the weighted average in this special case?