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The standard deviation of a single observation is not defined.

With a single observation, the mean of the observation(s) would be the same as the value of the observation itself. By definition, therefore, the deviation (difference between observation and mean) would always be zero. Rather a pointless exercise!

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Q: What is the definition of Standard deviation of a single measurement?
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One can't associate a standard deviation with a single measurement like this.


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Standard deviation of a single event is 0.


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Standard deviations are measures of data distributions. Therefore, a single number cannot have meaningful standard deviation.


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the amount by which a single measurement differs from a fixed value such as the mean.


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A single observation, such as 50486055535157526145 cannot have a standard deviation cube test compressive result.


What is the single quantity compared to an entire sample?

The single quantity compared to an entire sample is called a statistic. It is a numerical measurement calculated from the data in the sample, such as the mean, median, or standard deviation. The statistic provides insight into the characteristics or properties of the sample as a whole.


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