Say you have data on the average food consumed per type of animal for a 30 day period. Not the total amount of food itself, but the averages per day per that type of animal.
Also assume the number of dogs, cats, and snakes would vary and are not consistent between groups or across days within groups, but what that variation and samples are exactly are not known from the data.
For instance the data could look like this:
dogs, cats, snakes Avg Food lbs. Day 1 2 1.5 .3 Avg Food lbs. Day 2 3.1 1.2 .43 Avg Food lbs. Day 3 1.9 1.3 .2 Avg Food lbs. Day 4 2.2 1.6 .25 etc etc
How can I calculate the central tendency for each group, and how can I compare groups' respective central tendencies? Would taking the median of the averages accomplish the first part of the question?
If these questions can't be answered given the above constraints, what more information would be necessary to find each respective list of averages' central tendencies?