Free Moving Average Calculator

Calculate the simple moving average (SMA) of the most recent data points to smooth time-series data.

5-Period SMA

13.8000

3-Period SMA (last 3)15.6667
Range8.0000

5-Period SMA vs Value 1 (oldest)

How to Calculate a Simple Moving Average

Formula

SMA(n) = (v1 + v2 + ... + vn) / n

The simple moving average smooths data by averaging the most recent n observations. As new data arrives, the oldest point drops off and the newest is added. SMA reduces noise and reveals underlying trends in time-series data.

Example Calculation

Daily sales: 10, 12, 15, 14, 18. Calculate the 5-day moving average.

  1. 01Sum = 10 + 12 + 15 + 14 + 18 = 69
  2. 025-period SMA = 69 / 5 = 13.8
  3. 033-period SMA (last 3) = (15 + 14 + 18) / 3 = 15.6667

Frequently Asked Questions

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