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average is defined as a single value which has tendency to represent the data as a whole. averages are also called "measure of central tendency" or "measure of location"
The median, as long as you don't want to do any serious statistical testing.
You can use the mean to answer some statistical questions: it is a measure of the central tendency of a set of data. However, it is no good in identifying the maximum value of a set of data, for example.
They are statistical measures. For a set of observations of some random variable the mean is a measure of central tendency: a kind of measure which tells you around what value the observations are. The standard deviation is a measure of the spread around the mean.
It is the measure of central tendency.