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Average true range. Average true range ( ATR) is a technical analysis volatility indicator originally developed by J. Welles Wilder, Jr. for commodities. [ 1][ 2] The indicator does not provide an indication of price trend, simply the degree of price volatility. [ 3] The average true range is an N-period smoothed moving average (SMMA) of the ...
The arithmetic mean (or simply mean or average) of a list of numbers, is the sum of all of the numbers divided by the number of numbers. Similarly, the mean of a sample , usually denoted by , is the sum of the sampled values divided by the number of items in the sample. For example, the arithmetic mean of five values: 4, 36, 45, 50, 75 is:
In mathematics and statistics, the arithmetic mean ( / ˌærɪθˈmɛtɪk ˈmiːn / arr-ith-MET-ik ), arithmetic average, or just the mean or average (when the context is clear) is the sum of a collection of numbers divided by the count of numbers in the collection. [ 1] The collection is often a set of results from an experiment, an ...
In descriptive statistics, the range of a set of data is size of the narrowest interval which contains all the data. It is calculated as the difference between the largest and smallest values (also known as the sample maximum and minimum ). [ 1] It is expressed in the same units as the data. The range provides an indication of statistical ...
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In ordinary language, an average is a single number or value that best represents a set of data. The type of average taken as most typically representative of a list of numbers is the arithmetic mean – the sum of the numbers divided by how many numbers are in the list. For example, the mean average of the numbers 2, 3, 4, 7, and 9 (summing to ...
The weighted arithmetic mean is similar to an ordinary arithmetic mean (the most common type of average ), except that instead of each of the data points contributing equally to the final average, some data points contribute more than others. The notion of weighted mean plays a role in descriptive statistics and also occurs in a more general ...
The smoothed moving average is calculated over the number of periods selected, and the average true range is a smoothed average of the true ranges. Then: ADX = 100 times the smoothed moving average of the absolute value of (+DI − -DI) divided by (+DI + -DI)