AP Statistics Syllabus
AP Statistics Course Outline 2011-2012
I. Exploring Data: Describing patterns and departures from patterns (20%–30%)
Chapter 1 – Exploring Data
|Section |Outcomes/Objectives |Technology |Assignment/Project |
|1.1 |Construct and interpret graphical displays of distributions of univariate data (dotplot, stemplot, |Technology: Finding Calculator | |
|Displaying Distributions w/Graphs|histogram, cumulative frequency plot) |Histograms on | |
| |1. Center and spread |TI-83/84 | |
| |2. Clusters and gaps | | |
| |3. Outliers and other unusual features | | |
| |4. Shape | | |
| |Compare distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) | | |
| |1. Compare center and spread: within groups, between groups variation | | |
| |2. Compare clusters and gaps | | |
| |3. Compare outliers and other unusual features | | |
| |4. Compare shapes | | |
|1.2 |Summarize distributions of univariate data |Technology: Finding Calculator| |
|Describing Distributions w/ |1. Measuring center: median, mean |boxplots, mean, standard | |
|Numbers |2. Measuring spread: range, interquartile range, standard deviation |deviation and five number | |
| |3. Measuring position: quartiles, percentiles, standardized scores (z-scores) |summary on | |
| |4. Using boxplots |TI-83/84 | |
| |5. The effect of changing units on summary measures | | |
|Chapter Review | | | |
|Test 1 | | | |
Chapter 2 – The Normal Distribution
|Section |Outcomes/Objectives |Technology |Assignment/Project |
|2.1 |Use a normal distribution as an approximation top the overall pattern of data. | | |
|Density Curves and the Normal |1. Know properties of the normal distribution | | |
|Distribution | | | |
|2.2 |Calculate specified areas under the normal curve. |Technology: Normal Probability| |
|Standard Normal Calculations |Use a normal distribution table and calculator to calculate proportions of values above, below and between two |Plots, area, and z values on | |
| |numbers. |TI-83/84 | |
| |Use a normal distribution table and calculator to calculate the point having a stated proportions of values | | |
| |above and below it | | |
|Chapter Review | | | |
|Test 2 | | | |
Chapter 4 –
|Section |Outcomes/Objectives |Technology |Assignment/Project |
| | | | |
|4.2 |Interpret correlation and regression | | |
|Cautions about Correlation and |1. Understand the effects of extreme observations | | |
|Regression |2. Recognize lurking variables | | |
| |3. Understand the difference between a strong correlation and cause-and-effect relationships | | |
|4.3 |Recognize relationships in categorical data | | |
|Relations in Categorical Data |1. Construct frequency tables and bar charts | | |
| |2. Find marginal and joint frequencies for two-way tables | | |
| |3. Describe the relationship between two categorical variables by computing and comparing percents | | |
| |4. Compare distributions using bar charts | | |
|Chapter Review | | | |
|Test 4 | | | |
II. Sampling and Experimentation: Planning and conducting a study (10%–15%)
Chapter 5 – Producing Data
|Section |Outcomes/Objectives |Technology |Assignment/Project |
|5.1 |Know methods of data collection | | |
|Designing Samples |1. Census | | |
| |2. Sample survey | | |
| |3. Experiment | | |
| |4. Observational study | | |
| |Plan and conduct surveys | | |
| |1. Know characteristics of a well-designed and well-conducted survey | | |
| |2. Use random tables or random digits to select a simple random sample (SRS) | | |
| |3. Recognize sources of bias in sampling and surveys | | |
| |4. Sampling methods, including simple random sampling, stratified random | | |
| |sampling, and cluster sampling | | |
| |Generalize results and types of conclusions that can be drawn from | | |
| |observational studies, experiments, and surveys | | |
|5.2 |Plan and conduct experiments | | |
|Designing Experiments |1. Know characteristics of a well-designed and well-conducted experiment | | |
| |2. Outline a completely randomized design (including treatments, control groups, experimental units, random | | |
| |assignments, and replication) | | |
| |3. Recognize sources of bias and confounding, including placebo effect and blinding | | |
| |Generalize results and types of conclusions that can be drawn from observational studies, experiments, and | | |
| |surveys | | |
|5.3 |Construct and run a simulation | | |
|Simulating Experiments | | | |
|Chapter Review | | | |
|Test 5 | | | |
III. Anticipating Patterns: Exploring random phenomena using probability and simulation (20%–30%)
Chapter 6 – Probability
|Section |Outcomes/Objectives |Technology |Assignment/Project |
|6.1 |Calculate the probability of random events | | |
|The Idea of Probability |1. Interpret probability, including long-run relative frequency interpretation | | |
|6.2 |Know probability rules and be able to apply them to determine probabilities of defined events | | |
|Probability Models |1. Use addition rule, multiplication rule to find probability of events | | |
| |2. Understand independence versus dependence | | |
|6.3 |Use probability rules to compute probability of events | | |
|General Probability Rules |1. Use general addition rule, multiplication rule, conditional probability rules, and independence to find | | |
| |probability of events | | |
|Chapter Review | | | |
|Test 6 | | | |
Chapter 7 – Random variables
|Section |Outcomes/Objectives |Technology |Assignment/Project |
|7.1 |Recognize and define discrete and continuous random variables | | |
|Discrete and Continuous Random |1.Construct a probability distribution table and a probability histogram for the random variable | | |
|Variables |2. Determine probabilities of events as areas under density curves | | |
|7.2 |Combine independent random variables | | |
|Means and Variances of Random |1. Calculate the mean and variance of a discrete random variable | | |
|Variables |2. Use simulation methods and the law of large numbers to approximate the mean of a distribution | | |
| |3. Use rules for means and variances to solve problems involving sums, differences, and linear combinations of | | |
| |random variables | | |
|Chapter Review | | | |
|Test 7 | | | |
Chapter 8 – The Binomial and Geometric Distributions
|Section |Outcomes/Objectives |Technology |Assignment/Project |
|8.1 |Calculate probability of binomial random variables |Technology: Binomial | |
|The Binomial Distributions |1. Identify a random variable as binomial by verifying four conditions |distributions on TI-83/84 | |
| |2. Use calculator or formula to determine binomial probabilities and construct probability distribution | | |
| |tables and histograms | | |
| |3. Calculate cumulative distribution functions and construct cumulative distribution tables and histograms | | |
| |4. Calculate means and standard deviations of binomial random variables. | | |
| |5. Use a normal approximation to the binomial distribution to compute probabilities | | |
|8.2 |Calculate probability of geometric random variables |Technology: Geometric | |
|The Geometric Distributions |1. Identify a random variable as geometric by verifying four conditions |Distributions on TI-83/84 | |
| |2. Use calculator or formula to determine geometric probabilities and construct probability distribution | | |
| |tables and histograms | | |
| |3. Calculate cumulative distribution functions and construct cumulative distribution tables and histograms | | |
| |4. Calculate means and standard deviations of geometric random variables. | | |
|Chapter Review | | | |
|Test 8 | | | |
IV. Statistical Inference: Estimating population parameters and testing hypotheses (30%–40%)
Chapter 9 –Sampling Distributions
|Section |Outcomes/Objectives |Technology |Assignment/Project |
|9.1 |Sampling distributions | | |
|Sampling Distributions |1. Identify parameters and statistics in a sample or experiment | | |
| |2. Interpret a sampling distribution | | |
| |3. Describe the bias and variability of a statistic in terms of the mean and spread of its sampling | | |
| |distribution | | |
|9.2 |Sampling distributions | | |
|Sample Proportions |1. Recognize when a problem involves a sample proportion | | |
| |2. Find the mean and standard deviation of the sampling distribution of a sample proportion | | |
|9.3 |Sampling distributions | | |
|Sample Means |1. Recognize when a problem involves a sample mean | | |
| |2. Find the mean and standard deviation of the sampling distribution of a sample mean | | |
|Chapter Review | | | |
|Test 9 | | | |
Semester 1 Exam
Chapter 3 – Examining Relationships
|Section |Outcomes/Objectives |Technology |Assignment/Project |
|3.1 |Explore bivariate data |Technology: Scatterplots on | |
|Scatterplots |Construct scatterplots |TI-83/84 | |
| |Analyze patterns in scatterplots | | |
|3.2 |Explore bivariate data |Technology: Finding LSRL on | |
|Correlation |1. Know properties of and calculate the correlation between two quantitative variables |TI-83/84 | |
|3.3 |Explore bivariate data |Technology: Finding Residuals | |
|Least-Squares Regression |1. Find the least-squares regression line |on TI-83/84 | |
| |2. Find slope and intercept of LSRL. | | |
| |3. Use regression line to make predictions | | |
| |4. Use coefficient of determination to describe how much of the variation in one variable can be accounted | | |
| |for by a straight-line relationship with another variable. | | |
| |5. Calculate the residuals and recognize outliers and influential points | | |
|Chapter Review | | | |
|Test 3 | | | |
|4.1 |Model nonlinear data | | |
|Transforming Relationships |1. Use transformations to achieve linearity: logarithmic and power | | |
| |transformations | | |
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