Moving Average

Smooth a series into arithmetic means over overlapping fixed-size windows.

Description

Smooth a series into arithmetic means over overlapping fixed-size windows.

Moving Average is a focused tool for the following task. Smooth a series into arithmetic means over overlapping fixed-size windows. It reports averages from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Moving Average

Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

Values
Required list. Series to smooth.
Window size
Optional integer. Number of consecutive elements averaged per output value.

The cited overview of Moving average supplies background for the terminology and domain context used by this tool.1

How Moving Average works

Smooth a series into arithmetic means over overlapping fixed-size windows. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

averages
Returned list. One mean per window; length is values.length - windowSize + 1.

Limitations and assumptions

  • A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
  • Window size must be at least 1.
  • Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Alternative or Complementary approaches

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

References

  1. Moving average — Wikipedia contributors

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