  ==The mean gives the most information - why?== I notice that a lot of time has elapsed since Plf515 deleted the above comment, and the delete appears to have been reverted with no explanation. I also believe it should be removed, as it is wrong as it stands. E.g. if you actually want to know the mode, knowing the mean is unhelpful and gives no information! OK, one could argue that the arithmetic mean is based on information from all the points whereas the mode is not, but the geometric mean depends on all the points as well. Surely it depends what kind of information you are trying to distil from the data.  In summary, I don't think the phrase adds anything to the article. A point which is perhaps worth making is that the the classification levels are successively more informative and can undergo successively more different meaningful operations (equality, comparison, arithmetic mean, geometric mean). Comments anyone?   