Calculate the uncertainty on the values of m

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SUMMARY

The discussion focuses on calculating the uncertainty of the mean value of a set of measurements for the variable m, specifically using the values 7.29, 7.31, 7.3, 7.31, 7.27, 7.28, 7.31, 7.29, 7.28, 7.27, 7.26, 7.3, and 87.47, which yields a mean of 7.289166667. The correct method for determining uncertainty is identified as the Standard Error of the Mean (SEM). Participants emphasize the importance of using the appropriate statistical methods to derive accurate uncertainty values, referencing educational resources for further clarification.

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  • Understanding of Standard Error of the Mean (SEM)
  • Basic statistical analysis techniques
  • Familiarity with data sets and mean calculations
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Homework Statement



m
7.29
7.31
7.3
7.31
7.27
7.28
7.31
7.29
7.28
7.27
7.26
7.3
87.47
mean 7.289166667

using the values in the table calculate the uncertainties on the mean values of m

The Attempt at a Solution



I thought finding the difference between the different values of m and the mean value of m, adding them, and dividing by the number of values of m there are, but this doesn't seem right. Please help
 
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They're probably looking for the Standard Error of the Mean. Take a look at the Examples section http://teacher.pas.rochester.edu/PHY_LABS/AppendixB/AppendixB.html" .
 
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