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A2.S.ID.4 2011 Domain: Interpreting Categorical and Quantitative Data Cluster: Summarize, represent, and interpret data on a single count or measurement variable Standards: Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. Essential Questions How do we interpret probability distributions? Why do we study probability distributions? Enduring Understandings Area under a normal curve can be interpreted either as a percentage of the data values in the distribution or as a probability. Content Statements Understand probabilities to make and analyze fair decisions. Analyze surveys, experiments, and observations studies to judge the validity of the conclusion. Assessments Scores on a qualifying exam are normally distributed with a mean score of 230 and a standard deviation of 43. A score of 250 is required to pass, Find and display the area under the normal curve for passing scores. Find and display the area under the normal curve for scores 200 to 250. Activities, Investigation, and Student Experiences Activity Collect class scores and calculate mean and standard deviation Graph data using a spreadsheet Compare data and use to predict future results A2.S.ID.4 Equipment Needed: Graphing Calculator Internet Access SMART Board Teacher Resources: Holt Mcdougal, Algebra 2 (2012) 2011