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Probable error of a single reading is related to its standard deviation by a factor of about

  • A.2.0
  • B.0.3333
  • C.0.6745
  • D.1.0

Answer: C

Correct answer: 0.6745

The probable error is the deviation within which half the readings fall, and for a normal distribution that is \( 0.6745\sigma \). It is an older statistic, largely displaced by the standard deviation and by stated confidence intervals, but it appears in the classical measurement literature and is worth recognising.

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