Comparing box-and-whisker graphs - CSSI

Compare distributions shown as box-and-whisker plots using the CSSI framework -- Centre (median, mean), Shape (left skew, right skew, symmetric/bell curve), Spread (IQR, range), and Interesting features (outliers, groups).

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: Box and Whisker plots, Ex 30.05-Ex 31.02, pg 517-542
  • Beta: Skills in Ex 30.01, pg 562
  • Beta: Skills in Ex 30.02, pg 570
  • CorbettMaths - Box PlotsQuestions PDF · Answers

Terminology

  • box-and-whisker graphs
  • centre
  • shape
  • spread
  • left skew / left tail
  • right skew / right tail
  • bell curve

Task goals

  • Recall what C, S, S, and I each stand for in the CSSI framework for comparing box-and-whisker plots.
  • Read the five-number summary (minimum, lower quartile, median, upper quartile, maximum) off a box-and-whisker plot.
  • Calculate and compare the interquartile range (IQR) and range as measures of spread.
  • Identify a distribution's shape (left skew, right skew, or symmetric) from the relative size of the box and whisker sections.
  • Identify outliers and other interesting or unusual features on a box-and-whisker plot.
  • Compare two or more distributions using centre, shape, spread, and interesting features together, and justify conclusions drawn from the comparison.

Key skills

  • Box plot
  • Compare distributions
  • CSSI
  • Mean
  • Median
  • Mode
  • Range
  • Spread
  • IQR
  • Skew
  • Informal inference

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included