CaliforniaCalifornia AP Statistics Curriculum
Video lessons and practice for every AP Statistics topic. Aligned to California Common Core State Standards and the AP Statistics courses framework.
California AP Statistics Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CC.HSS.ID.A.1 | Represent data with plots on the real number line (dot plots, histograms, and box plots). |
CC.HSS.ID.A.2 | Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. |
CC.HSS.ID.A.3 | Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). |
CC.HSS.ID.A.4 | 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. |
CC.HSS.ID.B.5 | Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. |
CC.HSS.ID.B.6 | Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. |
CC.HSS.IC.A.1 | Understand statistics as a process for making inferences about population parameters based on a random sample from that population. |
CC.HSS.IC.A.2 | Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. |
CC.HSS.IC.B.3 | Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. |
CC.HSS.IC.B.4 | Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. |
CC.HSS.IC.B.5 | Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. |
CC.HSS.IC.B.6 | Evaluate reports based on data. |
CC.HSS.CP.A.2 | Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. |
CC.HSS.CP.A.3 | Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. |
CC.HSS.CP.A.5 | Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. |
CC.HSS.CP.B.7 | Apply the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), and interpret the answer in terms of the model. |
CC.HSS.CP.B.9 | Use permutations and combinations to compute probabilities of compound events and solve problems. |
CC.HSS.MD.A.1 | Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. |
CC.HSS.MD.A.2 | Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. |
CC.HSS.MD.A.3 | Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. |
CC.HSS.MD.B.7 | Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). |
AP Statistics in California High Schools
AP Statistics is one of the most popular Advanced Placement courses for California high school students. It builds skills in data analysis, probability, and statistical reasoning that are valuable in college-level science, social science, business, and mathematics programs. StudyPug's video lessons cover every major topic in the AP Statistics course, aligned to the California Common Core State Standards and the College Board AP Statistics curriculum framework.
Data Analysis and Descriptive Statistics
Students begin AP Statistics by learning how to represent and interpret data. Key topics include:
- Dot plots, histograms, and box plots for displaying data on the real number line
- Comparing center (mean and median) and spread (interquartile range and standard deviation) across data sets
- Interpreting shape, center, and spread, including the effects of outliers
- Fitting data to a normal distribution and estimating population percentages using the normal curve
- Summarizing categorical data using two-way frequency tables, including joint, marginal, and conditional relative frequencies
Bivariate Data and Correlation
AP Statistics students learn to analyze relationships between two quantitative variables. Topics include creating and interpreting scatter plots, computing the correlation coefficient using technology, understanding linear regression, and distinguishing between correlation and causation — a critical concept tested on the AP exam.
Data Collection and Statistical Inference
A large portion of AP Statistics focuses on how data is collected and how conclusions are drawn. Students study:
- Sample surveys, experiments, and observational studies, and how randomization applies to each
- Estimating population means and proportions from sample data, including margin of error
- Using randomized experiments to compare two treatments and evaluate significance through simulation
- Evaluating the quality and validity of reports based on data
Probability and Conditional Probability
Probability is a foundational unit in AP Statistics. Students learn about independent events, conditional probability, two-way frequency tables as sample spaces, the Addition Rule, the general Multiplication Rule, and permutations and combinations for computing compound event probabilities. These concepts appear directly on the AP Statistics exam and are essential for understanding inference.
Random Variables and Expected Value
Students define random variables, construct probability distributions, and calculate expected values. Topics include theoretical and empirical probability distributions, weighting outcomes by probability to find expected payoffs, using probability to make fair decisions, and analyzing real-world strategies using probability — such as medical testing or game-theory scenarios. StudyPug's video lessons walk through each of these topics with worked examples and practice problems.