Long description: Block221_Fig24

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A diagram illustrates the relationship between the Interquartile Range (IQR) and key statistical measures like the lower and upper quartiles.

Alt text: A diagram illustrates the relationship between the Interquartile Range (IQR) and key statistical measures like the lower and upper quartiles.

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  • The diagram features a horizontal line segment with points marked on it, representing a distribution or range of data.
  • There are labels indicating three times the IQR (→ 3IQR) extending from both ends of the visualized range, suggesting a span of \(\text{3IQR}\) on each side.
  • Within the central section, there is a box shape representing the box plot structure.
  • Arrows and labels define the boundaries of this box:
  • The left side is marked with \(\text{1.5IQR}\) from the boundary of the box to an inner point labeled \(\text{O}\).
  • The median is indicated by a vertical line segment passing through the box.
  • The upper side is marked with \(\text{1.5IQR}\) from the box boundary to an inner point labeled \(\text{O}\).
  • The entire width of the box is labeled as \(\text{IQR}\).
  • The structure implies that the \(\text{IQR}\) is the distance between the lower quartile (\(\text{LQ}\)) and the upper quartile (\(\text{UQ}\)), and that points \(\text{O}\) are positioned at \(\text{1.5IQR}\) distances from the box boundaries.

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