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What Is Average True Range (ATR)?

In short

Average True Range (ATR) measures how much an instrument typically moves per bar, in the same units as its price, by averaging the true range over a window.

ATR was introduced by J. Welles Wilder Jr. in 1978. It measures volatility, meaning the size of price movement, and it ignores direction: a large down bar and a large up bar both raise it. Because it is expressed in price units, the ATR of one instrument cannot be compared directly with the ATR of another that trades at a different price level.

Each bar's true range is the greatest of three distances: the high minus the low, the distance from the high to the previous close and the distance from the low to the previous close. Including the previous close captures gaps between sessions that a simple high-low range would miss. The ATR is then a Wilder-smoothed average of the true range, normally over 14 bars.

ATR describes the typical size of a move, for example to compare how active an instrument is now with how active it was earlier. A rising ATR says that bars are getting larger; it does not say which way the price will move. Dividing the ATR by the price expresses it as a share of the price, which makes instruments at different price levels comparable. Wilder smoothing gives recent bars slightly more weight than old ones without discarding them, so a single very large bar fades out of the average gradually.

Formula

TR  = max(high - low, abs(high - previous close), abs(low - previous close))
ATR = (previous ATR * (N - 1) + TR) / N        (Wilder smoothing, N = 14)

The formula is shown as code; N stands for the number of bars or periods.

Figures used in this guide

14
Wilder's default window, in price bars

Each number in the text is a definition, a convention or a stated value of the source, not a market observation.

How Lzzo.com shows it

The Technical indicators section of a product page shows Wilder ATR (14) in the unit of the price, calculated from observed daily or weekly candles. A product without enough verified candles shows no value in that section. The section also lists RSI, Williams percent R and the ADX of Wilder as dimensionless readings.

Sources

  1. J. Welles Wilder Jr., New Concepts in Technical Trading Systems (Trend Research, 1978)
  2. John J. Murphy, Technical Analysis of the Financial Markets (New York Institute of Finance, 1999)

Primary and official sources, named as plain text.

Content last changed on 5 October 2026.

Reviewed on 5 October 2026.

These guides explain concepts and methods for general information. They do not address anyone's circumstances and make no statement about what a price will do.