# Technical Studies Reference

- Technical Studies Reference
- Common Study Inputs (Opens a new page)
- Using Studies (Opens a new page)

# Z-Score

This study calculates and displays the Z-Score of the data specified by the **Input Data** Input.

Let \(X\) be a random variable denoting the **Input Data** Input, and let \(X_t\) be the value of the **Input Data** at Index \(t\). Let the Inputs **Mean Length** and **Standard Deviation Length** be denoted as \(n_{\mu}\) and \(n_{\sigma}\), respectively. Then we denote the **Z-Score** at Index \(t\) for the given Inputs as \(Z_t(X,n_{\mu},n_{\sigma})\), and we compute it in terms of a Simple Moving Average and a Standard Deviation for \(t \geq \max\{n_{\mu},n_{\sigma}\} - 1\) as follows.

#### 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**.

The formulas are in the third sheet, entitled Intermediate Calculations.

*Last modified Monday, 03rd October, 2022.