How does the Moving Average Calculator work?

SMA(n) = average of last n values Then: EMA uses a weighting factor k = 2/(n+1) Then: EMA(t) = value×k + EMA(t−1)×(1−k) Then: EMA reacts faster to recent changes than SMA.

Can you give an example of how to use the Moving Average Calculator?

Example: Input Data: 10,12,14,13,15, window=3 gives a result of SMA: —,—,12,13,14.

Is the Moving Average Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Moving Average Calculator?

Our Moving Average Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Moving Average Calculator

Data (space/comma separated)

Window Size

✓Moving Averages

SMA (3-period)

11.67 → 13.33 → 14.00 → 15.00 → 16.00 → 17.00 → 18.00 → 19.00

Latest EMA

19.4297

A moving average smooths out short-term fluctuations in data by averaging values over a sliding window. Simple moving averages (SMA) and exponential moving averages (EMA) are core tools in financial analysis and signal processing.

Symbol	Name	Unit	Description
x₁, x₂, ..., xₙ	data points	—	—
n	window size (period)	—	—
α	smoothing factor	—	for exponential moving average
MA_n	moving average	—	—

Feature	SMA	EMA
Calculation	Equal weights	Exponential weights
Lag	Higher lag	Lower lag
Sensitivity	Less sensitive	More sensitive
Use case	Long-term trends	Short-term signals
Complexity	Simple	Slightly more complex

References

›Moving averages — Investopedia

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Moving Average Calculator