Calculating Percentage Error: What to Do and How to Do It

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SUMMARY

The discussion focuses on calculating percentage error, specifically in the context of measuring atomic molar mass. An example is provided where the measured molar mass of lithium is 8 g/mol, while the accepted value is 6.94 g/mol. The percentage error is calculated as +15.27%, derived from the formula (1.06/6.94) * 100%. It is emphasized that theoretically, the error should be divided by the true value, but in practice, one often divides the estimated error by the measured value due to uncertainty in the true value.

PREREQUISITES
  • Understanding of basic arithmetic operations (addition, subtraction, multiplication, division)
  • Familiarity with scientific measurements and accepted values
  • Knowledge of percentage calculations
  • Concept of error analysis in experimental data
NEXT STEPS
  • Research the concept of absolute error and its relation to percentage error
  • Learn about error propagation in measurements
  • Explore the significance of significant figures in scientific calculations
  • Study the differences between systematic and random errors in experiments
USEFUL FOR

This discussion is beneficial for students in science and engineering fields, educators teaching measurement techniques, and anyone involved in experimental data analysis who needs to understand how to calculate and interpret percentage error.

Kandy
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I forgot how to do percentage error, actually I kind of forgot what it is. I do remember multiplying somthg by 100% but i can't remember what i divide b4 that.
 
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In terms of percent error with regards to an accepted value:
Suppose you measured the atomic molar mass of lithium to be 8 g/mol. The accepted value is 6.94. You take the difference, which is 1.06g/mol, and the percent error is therefore +15.27% ie. 1.06/6.94 * 100%
 
Theoretically, you divide the error by the true value. In practice, you have an error because you don't know the true value! In that case you divide the (estimated error) by the measured value.
 

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