Discussion
Ten readings of a quantity give a mean of 100.0 and a standard deviation of 0.5. The standard deviation of the mean is nearest
Answer: D
Correct answer: 0.16
\[ \sigma_{\bar{x}} = \frac{0.5}{\sqrt{10}} = \frac{0.5}{3.162} = 0.158. \] The mean is therefore far better determined than any single reading - but only against random error. If the instrument reads systematically high, all ten readings are high and this figure says nothing about it.
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