How do we calculate percent error without a theoretical value?

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Discussion Overview

The discussion revolves around the concepts of percent deviation and percent error, particularly focusing on how to calculate percent error in the absence of a theoretical value. Participants seek clarification on the definitions and implications of these terms, as well as their practical applications.

Discussion Character

  • Conceptual clarification, Debate/contested, Homework-related

Main Points Raised

  • One participant asks about the difference between percent deviation and percent error, expressing confusion over how to compare the two percentages.
  • Another participant provides a link to a resource that may help clarify the concepts.
  • A participant seeks further understanding of what percent deviation indicates compared to percent error, sharing specific values (5% deviation and 11% error) and asking for interpretation.
  • It is noted that percent deviation is based on the mean of the sample, while percent error relies on a theoretical expected value, suggesting that deviation does not require a theoretical reference.
  • A later reply questions how to calculate error when a theoretical value is not available, indicating a gap in the discussion regarding this scenario.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding percent deviation and percent error, with some clarifications provided. However, the discussion remains unresolved regarding how to handle calculations without a theoretical value, indicating multiple competing views on the topic.

Contextual Notes

The discussion does not resolve the limitations of calculating percent error without a theoretical value, leaving this aspect open for further exploration.

rachelle
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% Deviation vs. % Error??

Hey guys, what's the difference between percent deviation and percent error?? I'm totally confused... how do I compare those two percentages? Any explanation or links that can help me with this so I can understand better is much appreciated! Thanks~

Rachelle
 
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Yes! Thank you :)

But can you tell me one more thing... what does the percent deviation tell me? As oppose to my percent error..? For instance I get my percent deviation to be 5%, and my percent error = 11%. What does this tell me?

Thanks in advance~
 
The deviation is based on the mean of the sample as being your point of reference for the measurement. The error is based on a theoretic value expected. The deviation doesn't have to be a theoretical expected value. It just happens to be the mean.

Your results mean that the data you collected was skewed. The man of your data was not in line with the theoretical expected value.
 


jtbell said:

this example have theoretical value which is 54 celsius.but what if we don't have theoretical value?how can we calculate error?
 

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