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AP Statistics

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  1. AP Statistics Major Topics first semester by chapter

  2. The dirty details • 3rd period takes it on Friday!! • The final is 50 multiple choice questions. • The final will replace your lowest test grade if higher. • The final counts 20% for everyone. (that is about 3 test grades) • You get the same green formula sheet that you have your unit tests. • Each chapter is represented fairly evenly, so expect about 6-8 questions per chapter. • Major topics per chapter are on the slides that follow • Advice: do a little everyday, use review guide to help you, feel free to come look at old tests if you want.

  3. Breakdown by chapter • Chapter One: Shapes of distributions and measures of Center: 6 questions • Chapter 2: Normal distributions: 10 Questions • Chapter 3: Regression: 8 Questions • Chapter 4: Collecting Data: 10 questions • Chapter 5: Basic Probability: 4 questions • Chapter 6: Discrete Random Variables: 10 Questions • Chapter 7: Distribution of sample statistics and CLT: 2 Questions

  4. Chapter 4: Collecting Data • Ways to collect data • SRS • Stratified Random Sample • Systematic Sample • Cluster Sample • Ways to sample badly • Idea of Bias • Observation vs Experiment (stratified vs blocking) • Placebo Effect • Blind vs. Double blind • When can we make decisions about results?

  5. Chapter One: Intro to Data • Categorical vs Quantitative Data • Different types of graphs and what they show • Shapes of distributions • Describing Distributions (SOCCS) • Numerical centers and spreads of distributions • Mean • Median • Mode • Range • Variance • Standard Deviation • 5 number summary • How skewed Data and outliers effect the above.

  6. Chapter 2: Modeling Data • Percentiles • Z-scores and how to interpret • Effects of Transformations on data. (adding or multiplying data by a constant) • Normal Distributions • Empirical Rule • The “standard Normal Distribution” • Using Z-scores and normal table • Calculator commands (normalcdf and invnorm) • Assessing Normality with the normal plot.

  7. Chapter 3: Regression • Explanatory vs Response Variable • DFS: Direction, Form and Strength of a Distribution. • Calculating the Least Square Regression Line • Interpreting Slope and y-intercept • Making predictions with y-hat, when you can • Outliers vs influential points. • Interpreting r and r-squared. • Interpreting Residuals

  8. Chapter 5: Probability(Everyone’s Favorite) • What probability is trying to tell us? • Sample Space • Rules for Probability • Independent and disjoint (mutually exclusive) • AND & OR (what to do) • Conditional Probability • Simulations

  9. Chapter 6: Probability Distributions • Discrete vs continuous random variables • What makes a legitimate probability distribution • Expected Value of a probability distribution • Standard deviation of a probability distribution • Is a game fair? • Binomial vs. Geometric random variable; how do you check • Mean and standard deviation of a binomial random variable • Calculator syntax.

  10. Chapter Seven: Sampling Distributions • Parameters vs. Statistics • How x-bar and p-hat behave • Precision vs accuracy • Normal Calculations • What happens if data is not normal? CLT • When can you treat distribution of p-hat as a normal distribution • As sample size goes up what happens to summary statistics, particularly standard deviation?

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