Gram or kilogram (= 1000 grams)
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The standard unit to measure mass is kilograms.
Usually to measure mass, one uses grams or kilograms.
Because a measure of mass is desired in the set of standard units.
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.
The mass of carbon -12 atom is known as standard atomic mass