How do the principles of summarizing data and using inference apply to numerical data?
Learning objectives, requirement tasks, and mastery assessments  Summarize 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 differentshaped 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 distributions
 Describe 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 freeresponse questions:
 Purpose of center
 Mean vs. median
 Purpose of spread
 Describe 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 summary
 Create a stem plot by hand as a quick check of shape of a distribution
 Read and interpret a histogram
 Describe the shape of a quantitative distribution with peaks (unimodal, etc) and skew (left/right or symmetrical)
 Mastery freeresponse questions:
 Edge effects on distribution shape
 Ideal graph type
 Goal of histogram
