It appears that the answers to the question: can the arithmetic mean of a data set of complex numbers be calculated if the set of complex numbers is an unordered number field? , is dependent on the underlying inherent structure of the complex plane. That is the complex plane has a preferred...
Thanks for the links, I have already read the articles in depth; what I trying to get a simple answer to a question that remains elusive.
My original question was can anyone demonstrate how to calculate the arithmetic mean of a data set of complex numbers given that the complex numbers form an...
I totally agree with the definition of arithmetic mean for positive real numbers, however it would not be a mean of the data set if it fell outside the minimum and maximum range of the data.
However the requirement that the arithmetic mean fall within the minimum and maximum range of the data...
The definition is exactly as for positive real numbers i.e. the arithmetic mean lies within the minimum and maximum range of the data set and calculated as per real positive numbers .
Therefore for complex numbers this would be: min z to max z of the data set and the arithmetic mean would...
I appreciate your comments on the need for definition.
I agree totally, as my impresion is that when this issue is discussed the terms arithmetic mean and geometric mean are interchanged.
I agree the centroid will give a measure of the dispersion around a central point in the plane...
Thank you for your assistance in trying to understand this slippery concept.
The difficulty I have in grasping the idea of an arithmetic mean of a data set of complex numbers is that complex numbers form an unordered number field.
That is; there is no greater than or less than order of...