The particular problem that I am having is I don't know how to describe the "average" in the following two situations:
1) I have a parameter that is recorded on a certain day every month from 2000 to 2010. I average the data for the same month over 2000-2010.
2) I have another parameter that is recorded every day from 2000 to 2010. I obtain the monthly average for each year and then I average the monthly average over 2000-2010.
Is it correct to call the calculated values of the two cases above as follows?
1) Average of monthly data between 2000-2010
2) Monthly average of daily data between 2000-2010
All ideas are welcome. Much appreciated if you could share me the guidelines or books to teach how to call different kinds of average.