# What Is The Standard Deviation Indicator & How To Trade With It

The standard deviation indicator itself is a quantitative measure of variability or deviation around the mean. Deviation is the actual value minus the average value. When standard deviation gets higher, this means that variance/variability is increasing. When the standard deviation becomes lower, this means that the variance/variability decreases. Thus, the indicator is used to determine gravity or, in other words, the strength of an existing trend.

## What is the standard deviation indicator?

Standard deviation is a statistical term that refers to and shows the volatility of price in any currency. In essence standard deviation measures how widely values are dispersed from the mean or average. It can help you decide whether the volatility of the price is likely to increase or decrease.

This indicator is usually used in combination with other technical indicators, for example, Bollinger Bands. Thus, when calculating the Bollinger Bands, the standard deviation value is added to its moving average.

Sometimes a particular trading instrument can be very active or, on the contrary, not be active at all. All this is reflected in the standard deviation indicator values. When the value is low, it indicates that the instrument is inactive and ranging whereas a high value can indicate a strong trend.

Trend traders do not usually enter the market when the standard deviation indicator is flat. Instead, they would pay attention to the market when the indicator starts rising in anticipation of a forming trend

Those who are using range trading strategy may consider looking for low values in the standard deviation indicator. This can help them to identify less volatile market conditions that present reversal trade opportunities.

### How is standard deviation calculated?

Below is the formula to calculate the standard deviation:

StdDev (i) = SQRT (AMOUNT (j = i – N, i) / N)

AMOUNT (j = i – N, i) = SUM ((ApPRICE (j) – MA (ApPRICE (i), N, i)) A 2)

Where:

StdDev (i) : Standard deviation of the current candle

SQRT : Square Root

AMOUNT (j = i – N, i) : Sum of squares from j = i – N to i N : Smoothing period

ApPRICE (j) : Applicable price of the j-th candle

MA (ApPRICE (i), N, i) : Any moving average of the current bar with period N

ApPRICE (i) : Applicable price of the current bar

## How to use the standard deviation indicator?

The standard deviation indicator measures market volatility and is used in statistics to describe the variability or dispersion of a set of data around the average. In technical analysis​, it describes the price variability relative to a moving average (typically calculated at 20 days). The higher the standard deviation, the more unstable or volatile the market.

On the contrary, the lower the standard deviation, the more stable and steady the market; in other words, the price bars are very close to the moving average. It is a well-known fact, however, that market dynamics are characterised by an alternation of stable periods and peaks in activity.

Changes in market volatility will be reflected in the standard deviation indicator. The stronger the current trend, the higher the value of the indicator. The weaker the trend, the lower the value. Thus, this indicator is primarily used to spot trending and ranging markets.

The standard deviation on the 15-minute chart of the EUR/USD currency pair is shown in the chart above with default parameters and a simple moving average with a period of 20. You can see how the indicator responds to changes in price movement.

When the market is inactive, the indicator is at the bottom, showing lateral movement. At the time of market activity, the indicator rises regardless of whether the primary trend is bullish or bearish. An increase in market activity is noted as soon as the indicator rises – this indicates a multiple opening of positions by other market participants.

Whilst the standard deviation indicator can show how strong or weak a trend is, it does not tell you in which direction the market is moving. Therefore, the indicator works best with additional market analysis.

Standard deviation helps determine market volatility or the spread of asset prices from their average price. When prices move wildly, standard deviation is high, meaning an investment will be risky. Low standard deviation means prices are calm, so investments come with low risk.

The standard deviation is best used with other trading indicators, such as the Moving Averages Convergence and Divergence (MACD) indicator. The MACD can confirm the trend, and also show when the trend changes the direction, and this, in turn, when combined with the standard deviation, can give more reliable entry signals.

When the MACD signal line and the histogram are below the zero lines, the indicator portends a bearish trend and the ability to start opening short positions. Look at the chart below:

When the MACD signal line and the histogram are above the zero lines, the indicator portends a bullish trend, in this case, you can look for a moment to open long positions. Look at the example below: 