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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
That, basically, is a statistical tie for first, because that's within the margin of error.
So Bustamante has a three-point lead in a poll with a five-point margin of error.
That's two or three percentage point difference, which can be well within the margin of error.
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.
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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