Chapter Objectives

  • Display data graphically and interpret the following graphs: stem-and-leaf plots, line graphs, bar graphs, frequency polygons, time series graphs, histograms, box plots, and dot plots
  • Recognize, describe, and calculate the measures of location of data with quartiles and percentiles
  • Recognize, describe, and calculate the measures of the center of data with mean, median, and mode
  • Recognize, describe, and calculate the measures of the spread of data with variance, standard deviation, and range

Assignment


Box Plots

  • Uses positional measurements to show concentration of data
  • Min, max, median, $𝑄_1$ and $𝑄_3$
  • The middle 50% is the box
  • Whiskers go out to the min and max
  • Median is drawn inside the box

A box plot

Figure 2.4.1 A box plot.

Drawing a Box Plot

  • Start with a properly scaled number line
  • Draw vertical lines at $𝑄_1$ and $𝑄_3$. Lines should be the same length
  • Create a box from those two lines
  • Draw the median inside the box
  • Mark the minimum and maximum
  • Draw whiskers to them from the box