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Below is my dataframe

This is my dataframe

I want to calculate the climatological monthly average, the total average for each month.

For example, when I use groupby to estimate the monthly average of the variable AREA as below

annual_average = df.groupby(by=[pd.Grouper(key='TIME', freq='M')])['AREA'].mean().reset_index()

it gives me this below (weekly average for each month for each year):

Weekly average for each month

I want to calculate the average for each month but over the years from 1981 to 2018

Many thanks

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