Calculating Uncertainty for Standard Deviation

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To calculate the uncertainty of the standard deviation from multiple trials, the sample standard deviation is divided by the square root of the number of trials (N). However, this method pertains to the uncertainty in the measured value, not directly in the standard deviation itself. The uncertainty of the standard deviation can be derived from its relationship with the chi-square distribution, but specific methods for this calculation are not clearly defined in the discussion. There is uncertainty regarding whether the teacher's template was intended for this calculation. Overall, while it is possible to find the uncertainty of the standard deviation, the exact approach remains unclear.
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My teacher is quite lazy and gave us a template. we are suppose to show our values and the estimates. but in the table there is a row for the standard deviations and we are suppose to put the best value +- the uncertainty. now he must have copied and pasted this for all the rows. Is there a way to find the uncertainty of the standard deviation that was found for like 10 trials? I don't think he meant for us to find the uncertainty for the standard deviation, but if it can be done, how do i find it? thanks
 
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The uncertainty is the sample standard deviation, divided by √N. (N is the number of trials).

EDIT:
Wait, that is for the uncertainty in the measured value. Did you need that, or the uncertainty in the standard deviation itself? That one I'm not sure of.
 
yes how do i find the uncertainty of the standard deviation itself.

it could be a mistake on the teacher's part, but i just wanted to know if finding the uncertainty for the standard deviation was possible.
 
I'm pretty sure it's possible, and that the sample standard deviation follows a chi-square probability distribution. Sorry I can't help with the details.
 

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