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What is a random sample?

What is a random sample? Here are some definitions.

Noun
  1. (statistics) A sample randomly taken from an investigated population.
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When completed, a random sample of returned questionnaires was checked to ensure accuracy of data entry.
In a random sample of 1,150 Orkney people, Smith was not common enough to make it into the top ten list.
The nationally projectable survey, conducted in December 2003, polled a random sample of Americans aged 18 and older.
The data for this analysis come from a random sample, cross-sectional survey of Iowa soybean fields.
What is being generated is largely a random sample of previously unknown archaeology.
I test these hypotheses using data from an electronic mail survey of a random sample of students at a large university in the United States.

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