Normal distribution (Physics Lab)

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SUMMARY

The discussion centers on the appropriateness of plotting a normal distribution curve using the standard deviation derived from a working mean instead of a true mean. Participants confirm that it is acceptable to use the working mean for error histograms and normal curves, as the assignment did not require calculating the true mean. The reference to "Ex. 2 under 13. Fitting the Normal Distribution" provides a method for correcting the working mean to estimate the true mean, which can enhance the accuracy of the plotted distribution.

PREREQUISITES
  • Understanding of normal distribution concepts
  • Familiarity with standard deviation calculations
  • Knowledge of error analysis in experimental physics
  • Basic skills in data visualization tools for plotting histograms
NEXT STEPS
  • Research methods for correcting working means in statistical analysis
  • Learn about plotting normal distribution curves using Python's Matplotlib
  • Explore error propagation techniques in experimental data
  • Study the implications of using working means versus true means in data analysis
USEFUL FOR

Students in physics labs, data analysts, and anyone involved in statistical analysis of experimental data who seeks to understand the implications of using working means in their calculations.

Oerg
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Homework Statement



I was asked to plot a distribution curve, but before that we had to deal with working means instead of a real mean. So the problem is :is it ok to plot a normal curve based on the standard deviation from the working mean? We were asked to compare our results with antoher histogram that we were reqired to do. I used the error based on the working mean for that.

I'm sorry if I sound confusing, just asking if it is ok to do a error histogram and a normal curve with working means since we were never required to find out the real mean in the first place and all my error tables prepared show errors from the working mean as required.
 
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Oerg said:

Homework Statement



I was asked to plot a distribution curve, but before that we had to deal with working means instead of a real mean. So the problem is :is it ok to plot a normal curve based on the standard deviation from the working mean? We were asked to compare our results with antoher histogram that we were reqired to do. I used the error based on the working mean for that.

I'm sorry if I sound confusing, just asking if it is ok to do a error histogram and a normal curve with working means since we were never required to find out the real mean in the first place and all my error tables prepared show errors from the working mean as required.

Ex. 2 under 13. Fitting the Normal Distribution shows an example of determining a correction for the working mean to determine the estimate of the mean.

http://psychclassics.yorku.ca/Fisher/Methods/chap3.htm

Perhaps that would be useful for your purposes?
 

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