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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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Examples
And according to the latest polls, Schroeder may even be ahead, though within the margin of error, so it really is a horse race.
Oh, I haven't done a headcount, and for all I know there may be a 2 percent or a 5 percent margin of error on the Republican side.
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 results may be within the margin of error, but the outcome could well be determined by the margin of litigation.

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