### C. Quantitative Carnival

 Driving questionHow do the principles of summarizing data and using inference apply to numerical data?Learning objectives, requirement tasks, and mastery assessmentsSummarize a list of numbers, accounting for the center, spread, and context of the distribution both graphically and numerically.Task:Play a variety of games and analyze the results.  We will compare different-shaped distributions for different games and summarize results using measures of center and spread.  We will use confidence intervals of the mean to combine center, spread, and sample size into a meaningful estimate.  We will use hypothesis tests to decide if the class results are sufficiently different from a null prediction.  From a very simple activity we will look at how quantitative distributions are made and analyzed as a kickoff to the unit.Mastery quiz:Recognize a quantitative distribution from other types of distributionsDescribe the center of a quantitative distribution with the mean and median (and know which measure is resistant to outliers)Describe the spread of a quantitative distribution with the standard deviation, IQR, and range (and know which measure is resistant to outliers)Mastery free-response questions:Purpose of centerMean vs. medianPurpose of spreadDescribe a distribution of numbers based on its shape.Mastery quiz:Create a box plot from a quantitative distribution to visualize center and spread using the five number summaryCreate a stem plot by hand as a quick check of shape of a distributionRead and interpret a histogramDescribe the shape of a quantitative distribution with peaks (unimodal, etc) and skew (left/right or symmetrical)Mastery free-response questions:Edge effects on distribution shapeIdeal graph typeGoal of histogram