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# Moving Average - Simple Skip Zeros

This study calculates and displays a Simple Moving Average of the data specified by the **Input Data** Input, excluding the values that are equal to zero.

Let \(X\) be a random variable denoting the **Input Data**, and let \(X_i\) be the value of the **Input Data** at Index \(i\). Let the Input **Length** be denoted as \(n\), and let the number of *nonzero* values of \(X\) from \(X_{t-n+1}\) through \(X_t\) be denoted as \(n_t^{(NZ)}\). Then we denote the **Moving Average - Simple Skip Zeros** at Index \(t\) for the given Inputs as \(SZMA_t(X,n)\), and we compute it for \(t \geq n - 1\) as follows.

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

#### Inputs

#### Spreadsheet

The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

Open it through **File >> Open Spreadsheet**.

*Last modified Tuesday, 27th September, 2022.