Average Value Uncertainty: How to Compute?

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    Average Uncertainty
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Discussion Overview

The discussion revolves around the computation of average values and their associated uncertainties from a set of measurements. Participants explore methods for averaging uncertainties and the implications of different approaches on the accuracy of the results.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions whether simply averaging the uncertainties of measurements is appropriate, suggesting that it may not accurately reflect the reliability of the data.
  • Another participant asserts that averaging uncertainties without considering the quality of measurements can lead to misleading results, emphasizing the need for established rules in such calculations.
  • Some participants reference external resources to support their claims about better methods for estimating averages and uncertainties.
  • A later reply expresses agreement with the notion that more precise methods are often preferred in practice when dealing with large sets of values.
  • There is a mention of a comic related to the topic, indicating a lighter take on the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method for averaging uncertainties, with multiple competing views presented regarding the appropriateness of different approaches.

Contextual Notes

Some limitations in the discussion include the lack of specific details on the rules mentioned for averaging uncertainties and the dependence on the definitions of accuracy and reliability in measurements.

DoobleD
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I have a set of values I got from measurements, and each of these value has an uncertainty associated to it.

I compute the average of my values. How can I average the uncertainty associated to my average value ? Do I simply take the average of all uncertainties ?
 
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No. This way you do injustice to accurate measurements and you let bad measurements have too much weight.
There are simple rules for this. The average isn't the best estimate: that is the http://www.colorado.edu/physics/phys2150/phys2150_sp14/phys2150_lec4.pdf.
 
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BvU said:
No. This way you do injustice to accurate measurements and you let bad measurements have too much weight.
There are simple rules for this. The average isn't the best estimate: that is the http://www.colorado.edu/physics/phys2150/phys2150_sp14/phys2150_lec4.pdf.

Thank you ! I have just read somewhere that indeed this is more precise and used more often in practice when we have a large set of values for a measurement.
 
BvU said:
No. This way you do injustice to accurate measurements and you let bad measurements have too much weight.
There are simple rules for this. The average isn't the best estimate: that is the http://www.colorado.edu/physics/phys2150/phys2150_sp14/phys2150_lec4.pdf.
Loved the Dilbert comic in that link.
 

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