The answer depends on the context: a circle has one centre, a triangle has four (centroid, incentre, orthocentre, circumcentre), some shapes have none, statistical (or probability) distributions have two: mean and median (the mode is not necessarily central).
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the center of measure is mean mode median and range
It is a measure of the centre.
it is the center of numbers in number order
mean does not mean the center of the data
measure it