Assume I have distance values (e.g. how close an animal gets to a city) for each individual in my sample. So, for each individual animal, I will have a minimim distance. Next, say I have 4 categories of individuals. Suppose I want to see if there are differences among these categories in how close individuals get to a city. Is there anything conceptually wrong with calculating the mean of these minimum values (and comparing them among categories)? I suppose if the distribution is skewed rather than normal, then median would be more appropriate that the mean, but other than that, is there something fundamentally wrong with averaging minimum values?