How do we calculate percent error without a theoretical value?

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Percent deviation measures the variability of data points around the mean, while percent error compares a measured value to a theoretical or expected value. In the example provided, a 5% percent deviation indicates that the data points are relatively close to the mean, whereas an 11% percent error suggests a significant difference from the theoretical value. If no theoretical value is available, calculating percent error becomes challenging, as it relies on a known standard for comparison. Understanding these distinctions helps in assessing data accuracy and reliability. Overall, percent deviation focuses on data spread, while percent error emphasizes accuracy against a theoretical benchmark.
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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 celcius.but what if we don't have theoretical value?how can we calculate error?
 
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