Box and Whisker Plots or Boxplots

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Box and Whisker Plots and the 5 number summary

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Presentation transcript:

Box and Whisker Plots or Boxplots

Variability and Skewness Boxplots can be used to show: Variability – high or low Skewness – symmetric, skewed left, skewed right Boxplots split the data into quarters (25%) Use a five number summary to create the boxplot: : Minimum value 1st quartile (Q1) Median (2nd quartile or Q2) 3rd quartile (Q3) The maximum value in a data set

Constructing a box and whisker plot Example 1: Draw boxplot for the data 18, 27, 34, 52, 54, 59, 61, 68, 78, 82, 85, 87, 91, 93, 100 Find the 5 number summary: Minimum value 1st quartile (Q1) Median (2nd quartile or Q2) 3rd quartile (Q3) The maximum value in a data set Draw boxplot

Graphing The Data Notice, the Box includes the lower quartile, median, and upper quartile. The Whiskers extend from the Box to the max and min. 50% of data lies inside the box

Analyzing The Graph Describe the variability: Describe the skewness:

Practice Example 2: The following are the scores of 12 members of a woman’s golf team. 89, 90, 87, 95, 86, 111, 85, 83, 88, 91, 79 Find the 5 number summary Create a boxplot The lowest 25% of the scores are below what value? The middle 50% of the scores are between what numbers? Half of the women scored better than what score? Outliers?