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What are quartiles?

What are quartiles? Here are some definitions.

Noun
  1. plural of quartile
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On a scale divided into quartiles, no matter how much anybody makes, somebody will be in the fourth quartile.
The lower and upper whiskers extend to the most extreme data point within 1.5 times the interquartile range of the first and third quartiles, respectively.
Australia, Canada and the United States took in twice as many who were ranked in the top quartile compared with the lower three quartiles.
No participants were misclassified for energy, thiamine, or monounsaturated fat quartiles, and the greatest misclassification was observed for potassium.
Disparities in college enrollment by family income quartiles are almost as large today as they were thirty years ago.
The initial categories were created by stratifying lesions into quartiles according to size.

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