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What is a margin of error?

What is a margin of error? Here are some definitions.

Noun
  1. (statistics) An expression of the lack of precision in the results obtained from a sample.
  2. An amount, beyond the calculated minimum, added for safety.
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First comes the original measurement, then the actual offset between brackets, then the margin of error.
Modern scientific techniques, especially radiocarbon dating, are helpful, but the margin of error is still too large.
So Bustamante has a three-point lead in a poll with a five-point margin of error.
The margin of error that must be accepted for these rough guesses is no doubt a substantial one.
That's a large target area, and it allows for a margin of error when a shot must be taken from odd angles.
Even if shareholders are prepared to give Holmes the benefit of another few quarters' grace, he has an extremely small margin of error.

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