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mean does not mean the center of the data
the center of measure is mean mode median and range
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.
The quadratic mean is a measure of the spread of values about their arithmetic mean. By definition, the arithmetic mean of the differences will be zero and so adds no information. Another measure is required and that is the quadratic mean.
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