Graphing Data in Excel: Error Bar Confusion

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SUMMARY

The discussion focuses on error propagation in Excel when graphing data, specifically concerning the calculation of error bars for inverse length and squared frequency. The user clarifies that with an error in length of 0.001 m, the error bars for the inverse length should remain at 0.001 m, not 1/0.001. Additionally, when graphing theoretical frequency squared, the error bars should be calculated as 17, not 17^2. The key takeaway is the importance of understanding how to propagate errors correctly in mathematical functions.

PREREQUISITES
  • Understanding of error propagation principles
  • Familiarity with Excel graphing tools
  • Basic knowledge of inverse functions
  • Concept of squaring values in mathematical equations
NEXT STEPS
  • Study error propagation techniques in detail
  • Learn how to use Excel's error bar features effectively
  • Research mathematical functions and their inverses
  • Explore the implications of squaring values in data analysis
USEFUL FOR

Students conducting experiments, researchers analyzing data, and anyone using Excel for scientific graphing and error analysis.

Hi Im Paul
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I'm currently writing a paper over an experiment I did for class and I have a very stupid question over I need clarification on before I continue.

I am using excel to graph out data, and I have determined that the error in my Length is .001 m. However, I am graphing the inverse of length to show that my theoretical model is proportional to 1/L. Will the error bars I use be .001, or will the error bars be 1/.001? Surely it can't be 1/.001!

Also, I determined through error propegation that the error in my theoretical frequency is, let's say 17. However, I am graphing my theoretical f^2. Will my error bars by 17, or 17^2?

Could use some reassurance!
 
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Consider your variable to be y = 1/x. The uncertainty is δx=0.001 m. What is the uncertainty δy? Then propagate errors in f(y) knowing δy.
 

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