midpoint weight

Imagine a collection of objects, such as a group of coins or a balance weights, all of which ostensibly have the same mass, but actually don't. What is the best way of determining what the intended mass was? One way would be to average the masses of all the objects. Another would be to apply various statistical techniques.

In 1924 G. F. Hill proposed that for a collection with a small number of objects, the best result may come from averaging the masses of the heaviest and lightest objects. This result is called the midpoint weight.

G. F. Hill.
The Frequence Table.
Numismatic Chronicle, 1924.


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