I look at mean and standard deviation of various map like data and each give meaningful information but sometimes they provide different information.
For example, let's take states in a country. One state has higher mean than others but the standard deviation by itself looks OK since individual points from the whole state tend to be higher. In another case, the mean looks average but the state has both higher and lower values equally distributed so the standard deviation is higher.
Now how can you quantify both mean and standard deviation to a single meaningful value? Let say, the map color looks hot both when mean of each state is deviating from the mean of the country as well as standard deviation of the state is high.