What does it mean to determine the precision, expressed as percent

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SUMMARY

The discussion centers on determining the precision of measurements for the spring constant (k) in a lab setting, specifically comparing values obtained through two methods: hanging a mass and simple harmonic motion. The user seeks clarification on expressing precision as a percentage, distinguishing it from percentage error. Precision is defined as the reproducibility of results, and the user suggests that the claimed precision may relate to how closely the k values align. A calculation example is provided, showing how to derive percentage error from a measurement.

PREREQUISITES
  • Understanding of spring constants and their measurement techniques
  • Familiarity with simple harmonic motion principles
  • Knowledge of percentage error calculations
  • Basic statistical concepts related to precision and reproducibility
NEXT STEPS
  • Research methods for calculating precision in experimental physics
  • Learn about the differences between precision and accuracy in measurements
  • Explore statistical analysis techniques for comparing experimental results
  • Study the impact of measurement uncertainty on experimental data
USEFUL FOR

Students in physics labs, educators teaching measurement techniques, and researchers analyzing experimental data for precision and reproducibility.

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In my lab class, I needed to find k for a spring in two ways (hanging a mass from a spring & through simple harmonic motion). I've done this and now need to compare the two values - the question asks me to determine "the precision, expressed as a percent" of my measurements for k - I don't understand what this means.

Can someone advise me as to how I can go about determining the precision of a given value & expressing it as a %? Thank you.
 
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I think they mean percentage error maybe... one way of doing it is taking +/- 1 of the last digit.

so 125g has a percentage error of [1g/(125g)]*100% = 0.8%

but don't know if this is how you're expected to do it.
 
I don't think that's it because they ask me for the percentage error later...they want the "claimed precision expressed as a percent". Thanks anyway.
 
Precision is the amount of reproducibility I think, how easy it is to reproduce a particular result. So how close were K values maybe?
 

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