# Technical Studies Reference

### Moving Average - Volume Weighted

This study calculates and displays a Volume Weighted Moving Average of the data specified by the Input Data Input.

Let $$X$$ be a random variable denoting the Input Data, let $$X_i$$ be the value of the Input Data at Index $$i$$, and let $$V_i$$ be the Volume at Index $$i$$. Let the Input Length be denoted as $$n$$. The Moving Average - Volume Weighted at Index $$t$$ for the given Inputs is denoted as $$VWMA_t(X,n)$$, and we compute it for $$t \geq n$$ as follows.

$$\displaystyle{VWMA_t(X,n) = \left. \left(\sum_{i=t-n+1}^tX_iV_i\right) \middle/ \sum_{i=t-n+1}^tV_i\right.}$$

For an explanation of the Sigma ($$\Sigma$$) notation for summation, refer to our description here.