Calculating Uncertainty for Standard Deviation

[hellothere123]

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

 

[Redbelly98]

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.

 

[hellothere123]

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.

 

[Redbelly98]

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.