ToolJovia
Math

Moving Average and EWMA Calculator

Smooth an ordered numeric series with full-window simple averages or a stated EWMA seed.

✓ Browser-local processing

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How to use Moving Average and EWMA Calculator

Simple moving averages use each complete trailing window. EWMA begins at the first observation and applies alpha×current+(1−alpha)×previous smoothed value.

  1. Enter ordered observations, sma window, ewma alpha.
  2. Check the model, units, and supported limits before calculating.
  3. Run the tool, inspect the result, then copy or download it.

Good to know

  • 1–1000 ordered observations; whole window 1–series length; EWMA 0<alpha≤1. Missing observations are rejected, no timescale is inferred, and smoothing is not a forecast.
  • Runs locally. Numeric inputs are bounded; floating-point output is approximate and rounded to 12 significant digits. Unsupported or non-finite calculations produce an error.

Common questions

How does Moving Average and EWMA Calculator calculate its result?

Simple moving averages use each complete trailing window. EWMA begins at the first observation and applies alpha×current+(1−alpha)×previous smoothed value.

What assumptions and boundaries apply?

1–1000 ordered observations; whole window 1–series length; EWMA 0<alpha≤1. Missing observations are rejected, no timescale is inferred, and smoothing is not a forecast.

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