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Tracking
Tracking

Moving Averages

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moving-averagerolling-averagesmoothingtrend-weightemasignal-processing

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DefinitionA short reference note, not a full lesson.
Definition

A moving average replaces each noisy daily reading with the average of a recent window, turning a jagged metric into a readable trend line.

Detail

A moving (rolling) average smooths a noisy series by, at each point, averaging the last N readings instead of plotting the raw value. It is the single most useful computation in fitness tracking because it does exactly what Trend vs Noise requires: averages out short-term noise and exposes the underlying signal.

Common forms:

  • Simple moving average (SMA) — plain mean of the last N days. A 7-day SMA is the standard for bodyweight ("trend weight"), because it spans a full week and cancels weekday/weekend and water swings (see Bodyweight Tracking, Interpreting Weight Fluctuations). A 7-day window is also typical for Heart-Rate Variability (HRV) and RHR.
  • Exponentially weighted moving average (EMA) — weights recent days more, so it reacts a bit faster to real change while still smoothing. Some "trend weight" apps use an EMA.

How to read it:

  • Watch the smoothed line's slope, not the gap between today's raw point and the line.
  • Compare averages across windows (this week's average vs last week's) to estimate rate of change (see Rate-of-Change Targets).
  • Longer windows are smoother but lag real change more; 7 days is a good default trade-off for daily metrics.

The same idea smooths a noisy Estimated 1RM Trend and feeds clean lines to the dashboard.

Key facts

  • Moving average = mean of the last N readings, recomputed each day.
  • 7-day SMA is the standard "trend weight" smoother (cancels weekly/water swings).
  • EMA weights recent days more, reacting faster while still smoothing.
  • Read the smoothed slope; compare window-to-window for rate of change.
  • Longer window = smoother but more lag; 7 days is a common default.

Connections

Sources

Cited in text — not yet linked
Established signal-smoothing practice applied to body-weight and athlete-monitoring data

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