Normal distribution (Physics Lab)

[Oerg]

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.

 

[LowlyPion]

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?

 

[baba89]

I would say that it is acceptable to plot a normal curve based on the standard deviation from the working mean, as long as you clearly state and explain this approach in your analysis. However, it is always recommended to calculate and use the real mean whenever possible, as it provides a more accurate representation of the data. If you were not required to find the real mean in the first place, then using the working mean and its associated error would be a valid approach for your analysis. Just make sure to clearly explain your methodology and any limitations in your results. Additionally, comparing your results with another histogram using the same approach can provide valuable insights and support the validity of your findings.