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Estimating the average sample standard deviation from the standard error of the means of a set of samples.

I have a set of composite samples. Each is a composite of 8 charges of material collected in a single weigh boat. The weights were collected for each composite sample and divided by 8 for a mean sample weight. Is it possible to estimate the variation within the composited 8 from the large set of mean sample weights?

 

Thank you!
Jason

1 REPLY 1
MRB3855
Super User

Re: Estimating the average sample standard deviation from the standard error of the means of a set of samples.

Hi @ResponseOtter42 : If I correctly understand your situation: My first thought is that if you have a large number of these averages as you've defined them (one average from each weight boat), you can calculate the SD of these weigh boat averages. Then multiply that SD by sqrt(N), where N=8.