Add, subtract, multiply and divide uncertainties in measurement.

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SUMMARY

This discussion focuses on the mathematical operations involving uncertainties in measurement, specifically how to add, subtract, multiply, and divide these uncertainties. The conversation highlights the importance of understanding error propagation, particularly in the context of uncorrelated variables where covariances and correlation factors are zero. The example provided includes measurements with uncertainties, such as 0.06 ± 5% and 0.09 ± 3%. The Wikipedia page on propagation of uncertainty is referenced as a valuable resource for further clarification.

PREREQUISITES
  • Understanding of basic measurement concepts and uncertainties
  • Familiarity with error propagation principles
  • Knowledge of mathematical operations involving uncertainties
  • Basic statistics, particularly regarding uncorrelated variables
NEXT STEPS
  • Study the principles of error propagation in measurement
  • Learn how to calculate combined uncertainties for addition and subtraction
  • Explore methods for multiplying and dividing uncertainties
  • Review case studies or examples of uncertainty calculations in scientific measurements
USEFUL FOR

This discussion is beneficial for scientists, engineers, and students involved in experimental measurements and data analysis, particularly those who need to accurately quantify uncertainties in their results.

Sassenav22
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Can someone show me how to add, subtract, multiply and divide uncertainties in measurement.
 
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I'm not sure I understand your question. Do you mean something like given errors in measuring a and b estimate the error in calculating some function f(a,b)? Or something else?
 


errors in measurement like 0.06 plus and minus 5% and 0.09 plus and minus 3%
 

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