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Moving average calculator

Paste a time-ordered series, choose a method and compare the raw values with the smoothed line.

Latest smoothed value: —

Fill in the fields above — the result is computed on this page.

Observations
—
Calculated points
—
Window or weight count
—
Smoothing factor α
—

Data and smoothed series

The smoothed line describes the observed series; it is not a forecast on its own.

Step-by-step calculation

Period Value Average Difference
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Compare the smoothed line with the raw values to assess lag and smoothing strength.
  • Choose the window or α for the analytical goal rather than the appearance of one chart.

A moving average describes the supplied data. It does not prove a trend or automatically model seasonality and structural changes.

How do I use this page?
  1. Paste values in time order.
  2. Choose SMA, WMA, EMA or CMA and set the method parameter.
  3. Compare the chart and the row-by-row table.

What this page does not do: A moving average describes the supplied data. It does not prove a trend or automatically model seasonality and structural changes.

Further reading

Theory — what is a moving average?

A moving average smooths a time series by computing the average over successive data windows instead of the whole series at once. SMA weighs every observation in the window equally, WMA lets you set weights manually, and EMA favors recent values via a coefficient α. CMA averages all observations from the start of the series. The calculator compares raw data with the smoothed line; a shorter window reacts faster, a longer one smooths more.

Frequently asked questions

How should I choose an SMA window?
A smaller window reacts faster, while a larger one smooths more strongly. Compare settings against the purpose of the analysis.
What does α mean in EMA?
α is the share assigned to the newest observation. A value closer to 1 reacts faster to new data.

See also

← All calculators

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