Probability and Statistics

Virginia SOL 8.PS.2

Apply the data cycle with a focus on boxplots.

What students need to be able to do

  • Formulate questions that require the collection or acquisition of data with a focus on boxplots.
  • Determine the data needed to answer a formulated question and collect the data using observations, measurement, surveys, or experiments.
  • Determine how statistical bias might affect whether the data collected from the sample is representative of a larger population.
  • Organize and represent a numeric data set of no more than 20 items using boxplots, with or without technology.
  • Identify and describe the lower extreme (minimum), upper extreme (maximum), median, upper quartile, lower quartile, range, and interquartile range given a data set represented by a boxplot.
  • Describe how the presence of an extreme data point (outlier) affects the shape and spread of the data distribution of a boxplot.
  • Analyze data represented in a boxplot by making observations and drawing conclusions.
  • Compare and analyze two data sets represented in boxplots.
  • Given a contextual situation, justify which graphical representation (e.g., pictographs, bar graphs, line graphs, line plots/dot plots, stem-and-leaf plots, circle graphs, histograms, boxplots) best represents the data.
  • Identify components of graphical displays that can be misleading.