In teaching descriptive statistics, measures of central tendency come up early on, e.g. before measures of spread. For me it is natural enough to learn about central tendency, or location, of the data before learning many other properties, but this just might be stemming from how I was taught.
However, is there any good motivation for why the central tendency should be the first thing one would learn about?
I guess one cannot say that a certain measure of central tendency (such as mean, median or mode) contains the most information about the data; nor could one say that it contains the most important information (because the relative importance really depends on what the intended use of the data is).
But then what could be said instead?