Sampling distribution of a difference between two independent sample proportions 5. Sampling distribution of a sample mean 3. Sampling distribution of a sample proportion 2. The Normal distribution as a model for measurements D. Using tables of the Normal distribution 3.
Mean and standard deviation for sums and differences of independent random variables C. Notion of independence versus dependence 2. Combining independent random variables 1. Mean (expected value) and standard deviation of a random variable, and linear transformation of a random variable B. Simulation of random behavior and probability distributions 6. Discrete random variables and their probability distributions, including binomial and geometric 5. Addition rule, multiplication rule, conditional probability, and independence 4. Interpreting probability, including long-run relative frequency interpretation 2. Anticipating patterns: exploring random phenomena using probability and simulation (20%–30%) A. Topic Outline for AP® Statistics from the College Board’s AP ® Statistics Course Description Generalizability of results and types of conclusions that can be drawn from observational studies, experiments, and surveys Randomized block design, including matched pairs design D. Sources of bias and confounding, including placebo effect and blinding 4. Treatments, control groups, experimental units, random assignments, and replication 3. Characteristics of a well-designed and well-conducted experiment 2. Sampling methods, including simple random sampling, stratified random sampling, and cluster sampling C. Sources of bias in sampling and surveys 4. Populations, samples, and random selection 3. Characteristics of a well-designed and well-conducted survey 2. Overview of methods of data collection 1. Sampling and experimentation: planning and conducting a study (10%–15%) A. Conditional relative frequencies and association 4.
Marginal and joint frequencies for two-way tables 3. Transformations to achieve linearity: logarithmic and power transformations E. Residual plots, outliers, and influential points 5. Comparing outliers and unusual features 4. |omparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) 1. The effect of changing units on summary measures C. Measuring position: quartiles, percentiles, standardized scores (z-scores) 4. Measuring spread: range, interquartile range, standard deviation 3. Summarizing distributions of univariate data 1. |onstructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) 1. Exploring data: describing patterns and departures from patterns (20%–30%) A.
Topic Outline for AP® Statistics from the College Board’s AP ® Statistics Course Description Using The Practice of Statistics, Fifth Edition, for Advanced Placement (AP®) Statistics (The percents in parentheses reflect coverage on the AP® exam.)
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