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Chapter 2: Normal Distributions “It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.” – Carl Friedrich Gauss □ I can describe the location of a point in a distribution. □ I will find and interpret the percentile of an individual value within a distribution of data. □ I will estimate percentiles and individual values using a cumulative relative frequency graph. □ I will find and interpret the standardized score (z-score) of an individual value within a distribution of data. □ I will describe the effect of adding, subtracting, multiplying by, or dividing by a constant on the shape, center, and spread of a distribution of data. □ I can use properties of normal distributions to solve problems. □ I will know the properties of density curves and normal curves. □ I will approximately locate the median and mean of a density curve. □ I will estimate the mean and standard deviation of a normal curve. □ I will explain how changing the mean and standard deviation affects the shape of a normal distribution. □ I will use the Empirical Rule to approximate the percentage of values within a certain interval. □ I will calculate and interpret the z-score of an observation. □ I will use Table A to find the proportion of values within a certain interval. □ I will use a z-score to determine the actual value of an observation. □ I will calculate a value given a proportion. □ I can assess the normality of a distribution. □ I will construct and evaluate an appropriate graphical display to assess normality. □ I will use the Empirical Rule to assess normality by determining the proportion of observations within one, two, and three standard deviations of the mean. □ I will construct and interpret normal probability plots on the graphing calculator. Key Vocabulary and Concepts cumulative relative frequency graph density curve Empirical Rule inflection points mathematical model normal curve normal distribution normal probability plot normal proportions ogive percentile standard normal distribution standardized value Table A z-score Date Topic/Activity Wed 10/5 Chapter 1 HW Check Investigative Task Phase 1 Info Given Begin Chapter 2 Percentiles and Ogives Thurs 10/6 z-scores Fri 10/7 Transforming Data Mon 10/10 Turn in Phase 1 Data Transforming Data Tues 10/11 Density Curves and Normal Distributions Wed 10/12 Investigative Task Phase 2 Info Given Normal Calculations Thurs 10/13 Assessing Normality Fri 10/14 FRAPPY Quiz Mon 10/17 Chapter 2 Review Tues 10/18 Chapter 2 Assessment Wed 10/19 Early Release Day Chapter 2 HW Check Investigative Task Due Begin Chapter 5 Homework Note: Quarter 1 Test (on Chapters 4, 1, and 2) is scheduled for Thursday, October 27th.