Why select the middle number? Does this set (1,1,1,55,56,56,56), where the median is 55, elimitates anomalies? It is not logic.
The mean elimitates anomalies and spikes, not the median.
So the mean is a rational method in order to decide, and the median is an irrational one. But I am not going to define what rational is, this is a subject to vote. Lets put the mean and the median methods in a vote, and let the best method wins. I am 100% sure the mean method will win the median method.
What other methods exist? Except the median method (which seams irrational), tell me another alternative method, and I will apply the rule (marked in bold),
in order to find the winner method.
For the example purposes, you may use whatever set of number votes you wish.