Calculate the uncertainty on the values of m

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To calculate the uncertainty on the mean values of m, the standard error of the mean (SEM) is the appropriate method. The user initially considered finding the difference between individual values of m and the mean, but recognized this approach may not yield the correct uncertainty. Instead, the SEM can be calculated by dividing the standard deviation of the values by the square root of the number of measurements. The discussion references an external resource for further clarification on the calculation process. Understanding and applying the SEM will provide a more accurate representation of uncertainty in the mean value of m.
blueyellow

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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