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In general, when talking about a class of measuring device, the expected accuracy of the measure cannot exceed its expected precision (the converse is not true, however.)

That is, the expected difference between two randomly selected devices in the class attempting to measure the same true value is a lower bound on the expected difference between the measurement of one device in the class and the true value.

Or, looked at a different way, if you can't shoot a tight grouping (independent of where on the target it clusters), you can't shoot a tight grouping around the bullseye.




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