The standard error is calculated by dividing the actual volume by the experimental volume. This is a common technique used in the laboratory.
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You would need to take repeated samples, find their median and then calculate the standard error of these values.
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You cannot calculate standard deviation for objects such as concrete cubes - you can only calculate standard deviation for some measure - such as side length, surface area, volume, mass, alkalinity or some other measure.
Gross volume is the volume at actual condition whereas standard volume is at standard Pressure/Temperature condition.
the purpose and function of standard error of mean