More importantly, perhaps, is the fact powerful analyses are available in statistics prgrams that are difficult to do in spreadsheets or database programs. Perhaps most important is description. By this, we mean to describe a group of individuals, cases in terms of their summary characteristics. In a test, we often wonder, who had the lowest grade, the highest, what the class average was. In a more journalistic way, we might wonder, say, which school had the highest SAT scores, the lowest and the average across all high schools in Seattle.
Central tendency asks what value is most typical of the group studied.
In this instance, the mode, median and mean are all the same. But it need not be so. The mode is 30, the median is 60 and the mean is 60. You get the idea. Both sets have the same mean, but the spread of scores is very different.