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Average Return Definition
Average Return can be defined as the simple mathematical average of a series of returns generated over a period of time and the average return is calculated the same way a simple average is calculated for any set of numbers. For calculating the average return the numbers are added together into a single sum, and then this single sum is divided by the count of the numbers in the set.
In the most common case, the data set is a list of numbers and the average return of a list of numbers is a single number intended to typify the numbers in the list. If all the numbers in the list are similar, then this number should be used and if the numbers are not the same, the average is determined by combining the numbers from the list in a specific way and computing a single number as being the average of the list.
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Many different descriptive statistics can be chosen as a measure of the central tendency of the data items and these include the arithmetic mean and the median as well as the mode. Other statistics, such as the standard deviation and the range are called measures of statistical dispersion and it will describe how spread out the data is.
The most common statistic is the arithmetic mean but depending on the nature of the data other types of central tendency may be more appropriate and for example, the median is used most often when the frequency distribution of the values is skewness with a small number of very high or low values as seen with house prices. It is also made use when extreme values are likely to be anomalous or less reliable than the other values for example as a result of measurement error. This is because the median takes less account of extreme values than the mean does.
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For example:
Suppose an investment had returned the following annual returns over a period of five full years as 10%, 15%, 10%, 0% and 5% and to calculate the average return for the investment over this five-year period the five annual returns are added together. It is then divided by five and this produces an annual average return of 8%.
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