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Can arbitrarily good values be calculated by multiple measurements and taking the mean?

April 26, 2017arbitrarily calculated good mean measurements taking values

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Can arbitrarily good values be calculated by multiple measurements and taking the mean?

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Yes, arbitrarily good values of the mean can be determined by taking lots of measurements. But that’s a measurement of the average. The position (or whatever observable) will come out differently for each measurement. The uncertainty on a particle’s position for a given measurement is still .