And why might you find it meaningless?
The uncertainty in the 30 year average means there is uncertainty in the position of the zero for the ordinate axis. This uncertainty makes no difference to the slope of the trend line for the past 60 years. It is this trend line climate deniers find so frightening.
You look franticly for confusion.
Jer.5:21 Hear now this, O foolish people, and without understanding; which have eyes, and see not; which have ears, and hear not:
increases in rainfall extremes linked to agw, page-84
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