Why is Random Error Higher than Literature Error?

In summary, in an experiment to determine the Ar of Li, the % error due to random errors was calculated to be 12.1%. The literature value for Ar of Li is 6.941, but the calculated value was 7.5, resulting in a % error of 7.45. This is reverse of the usual trend, where the error due to the literature value is greater than the % error due to random errors. However, as long as the calculated value's error range overlaps with the 'true' value, the results are considered acceptable.
  • #1
huey910
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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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  • #2


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!
 

1. Why is there a difference between random error and literature error?

Random error refers to the variability or uncertainty in measurements due to chance, while literature error is the accepted or expected value for a certain measurement. In other words, random error is the difference between individual measurements and literature error is the expected value based on previous research or established standards.

2. What factors contribute to higher random error?

There are several factors that can contribute to higher random error, such as human error in measurement or recording, variability in experimental conditions, and limitations of measurement tools. Additionally, a small sample size or lack of control in an experiment can also lead to higher random error.

3. Can random error be eliminated or reduced?

No, random error cannot be completely eliminated as it is inherent in any measurement process. However, it can be reduced by using precise and accurate measurement tools, controlling experimental conditions, and increasing sample size to account for variability.

4. Why is it important to consider random error in research?

Random error can affect the reliability and validity of research findings, as it can lead to inaccurate or inconsistent results. By acknowledging and accounting for random error, researchers can ensure the accuracy and credibility of their findings.

5. How can literature error be determined?

Literature error is determined through previous research, established standards, or theoretical calculations. It is often used as a benchmark for measuring the accuracy of results and determining the significance of findings.

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