Standard Deviation or Resolution Error: Which One Should Be Quoted in a Report?

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SUMMARY

In reporting uncertainties, the format 2.435(36) m is used to indicate standard deviation errors, while 2.435 ± 0.036 m denotes resolution errors. The distinction is crucial for accurately conveying the nature of the uncertainty in measurements. Standard deviation reflects variability from a sample of data, whereas resolution error pertains to the limitations of the measuring equipment. Understanding this difference ensures clarity and precision in scientific reporting.

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Max Eilerson
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In a report should I be quoting uncertainties as 2.435(36) m or
2.435 +- 0.036 m. It seems the first way is usually used when quoting a standard deviation error and the second when quoting a resolution error.
 
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That makes sense to me. So, in the report, is the error due to standard deviation (from a sample of data) or is it due to the resolution of the equipment?
 

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