Y1961 Y1962 Y1963 Y1964 Y1965 Region 0 82.567307 83.104757 83.183700 83.030338 82.831958 US 1 2.699372 2.610110 2.587919 2.
I think this is what you are looking for:
df.drop('Region', axis=1).apply(lambda x: x.mean(), axis=1)