Why is Random Error Higher than Literature Error?

AI Thread Summary
The discussion focuses on an experiment determining the atomic radius (Ar) of lithium, where the random error percentage is 12.1%, contrasting with a literature value error of 6.941 and a calculated value of 7.5, resulting in a 7.45% error. Typically, literature error is expected to be higher than random error, but this case presents the opposite scenario. The importance of error ranges is emphasized, indicating that as long as the calculated value's error range overlaps with the true value, the results are acceptable. The conversation highlights the goal of aligning calculated values with literature values for accuracy. Overall, understanding the implications of error percentages is crucial for interpreting experimental results.
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Homework Statement


In an experiment to determine the Ar of Li, the % error due to random errors was calculated to be 12.1%. However, the literature value is 6.941 and my calculated value is 7.5 which means my % error s 7.45.


Homework Equations


Usually, the error due to the literature value is greater than the % error due to random errors, but now it is the reverse - what does this mean?

The Attempt at a Solution

 
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I'm not sure how you arrived at your error of 7.45%, but you should keep in mind that the error defines a region (a range of values) within which the 'true' value should lie. So long as your calculated value's error range overlaps the 'true' value, then all is well. If your calculated value happens to be close to the literature value, all the better, after all you were aiming for it!
 
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