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Quartiles, IQR & Percentiles

Section: Statistics & ProbabilityBank code: STA-IQRGRE frequency: MediumPro

1. Core Idea

Quartiles and percentiles describe position within sorted data, not the values themselves.

  • Percentile: the pth percentile is the value below which p% of the data falls.
  • Quartiles: the three values that split sorted data into four equal-sized parts.

The mental model: line everyone up shortest to tallest, then ask "where in the line does this person stand?"


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