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Further4 box plots, 5 number summary and outliers

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  • 1. Further MathematicsBox plots, 5 number summary and outliers K McMullen 2012
  • 2. Box plots and friendsA box plot is constructed from the values in afive-number summary Features: The whiskers each represent 25% of the data at the lower and upper ends of the data The box represents the middle 50% (IQR) of the data The vertical line located within the box represents the median K McMullen 2012
  • 3. Box plots and friendsTo calculate the 5 number summary: Use CAS By hand: 1. Place values in order 2. Find the median (middle value) 3. Split the bottom half in two (this will be your lower quartile) 4. Split the top half in two (this will be your upper quartile) 5. Minimum and maximum values are just that- the lowest value and the highest value K McMullen 2012
  • 4. Box plots and friendsOutliers: extreme values that don’t “fit in” with therest of the data set On CAS- need to plot “mod box plot” (box plot on CAS won’t show outliers so make sure you choose “mod box plot” By hand: Lower outliers: Q1 --- 1.5xIQR (known as lower boundary) Upper outliers: Q3 + 1.5xIQR (known as upper boundary)Remember that if there are outliers then theseare your minimum or maximum values too K McMullen 2012
  • 5. Box plots and friendsClasswork and Homework: 2A: 4, 5, 6, 7 2B: 1, 2, 3, 4, 5, 6 Write own notes for “relating a box plot to distribution shape” p.45 Write own notes for “ Interpreting box plots: describing and comparing distributions” p.48 K McMullen 2012

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