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Moving Average Calculator

Formula

The formula to calculate the Moving Average is:

$\text{Moving Average} = \frac{\sum_{i=0}^{n-1} x_i}{n}$

Where:

$x_i$ are the individual data points within the window.
$n$ is the window size.

What is Moving Average?

The moving average is a statistical measure used to analyze data points by creating a series of averages of different subsets of the full data set. It helps smooth out short-term fluctuations and highlight longer-term trends or cycles.

Example Calculation

Consider an example where the data points and window size are:

Data Points: 2, 4, 6, 8, 10
Window Size: 3

Using the formula to calculate the Moving Average:

$\text{Moving Average} = \left( \frac{2+4+6}{3}, \frac{4+6+8}{3}, \frac{6+8+10}{3} \right) = (4, 6, 8)$

This means that the moving averages for this example are 4, 6, and 8.