Long description: Block221_Fig3

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A cumulative frequency polygon illustrates the distribution of heights, marking the values for the lower quartile, median, and upper quartile.

Alt text: A cumulative frequency polygon illustrates the distribution of heights, marking the values for the lower quartile, median, and upper quartile.

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  • The graph displays a cumulative frequency curve versus height in centimeters.
  • The vertical axis represents cumulative frequency, ranging from 0 to 30.
  • The horizontal axis represents height, ranging from 149.5 centimeters to 184.5 centimeters.
  • The curve starts near the origin and rises steeply, indicating the frequency distribution of heights.
  • Vertical dashed lines mark the positions of the lower quartile (\(\text{L}_q\)), the median (\(\text{M}\)), and the upper quartile (\(\text{U}_q\)) on the height axis.
  • Corresponding horizontal dashed lines indicate the cumulative frequencies at these quartile points.
  • The lower quartile (\(\text{L}_q\)) is marked where the cumulative frequency reaches approximately 5.
  • The median (\(\text{M}\)) is marked where the cumulative frequency reaches 15.
  • The upper quartile (\(\text{U}_q\)) is marked where the cumulative frequency reaches 20.

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