Is it true that the standard deviation is the "expected" distance from the mean of a randomly selected value?
Like, if the mean is 1 and the SD is 1, and I was to take a sample and take the average of the absolute values of the samples, would that tend towards 1 as I take more samples?
Edit: I think I've just described "mean absolute error"... seems to be related but the "root mean square deviation" is the one more closely related to SD. I think... Not sure where the "n" comes in.
Like, if the mean is 1 and the SD is 1, and I was to take a sample and take the average of the absolute values of the samples, would that tend towards 1 as I take more samples?
Edit: I think I've just described "mean absolute error"... seems to be related but the "root mean square deviation" is the one more closely related to SD. I think... Not sure where the "n" comes in.