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This tag indicates questions about definitions of statistical terms. Use a more general tag [terminology] for questions on statistical parlance that are not specifically about definitions.

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Is there one universally agreed-upon definition of a quantile? If not what definitions exist? [duplicate]

Asked differently, abstractly speaking what is a quantile so that all 9 types of quantile algorithms capture that definition? … I read this article but it doesn't really address the question of a more abstract definition of quantile that encompasses, for example, all 9 types of the R function. …
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