AP
Statistics · AP · High school · Math
All Course and Exam Description units and topics for Statistics · AP. Topics marked with an asterisk (*) are assessed on the AP Exam; unmarked topics are course scope only. Click a topic for details and future study materials.
CED topics
Click a topic for the full text and future study materials.
Unit 1: Exploring One-Variable Data
- 1.1 * — Introducing Statistics: What Can We Learn from Data? VAR-1
- 1.2 * — The Language of Variation: Variables VAR-1 Given that variation may be random or not, conclusions are uncertain.
- 1.3 * — Representing a Categorical Variable with Tables UNC-1
- 1.4 * — Representing a Categorical Variable with Graphs UNC-1
- 1.5 * — Representing a Quantitative Variable with Graphs UNC-1
- 1.6 * — Describing the Distribution of a Quantitative Variable UNC-1
- 1.7 * — Summary Statistics for a Quantitative Variable UNC-1 Graphical representations and statistics allow us to identify and represent key
- 1.8 * — Graphical Representations of Summary Statistics UNC-1
- 1.9 * — Comparing Distributions of a Quantitative Variable UNC-1
- 1.10 * — The Normal Distribution VAR-2 The normal distribution can be used to represent some population distributions.
Unit 2: Exploring Two-Variable Data
- 2.1 * — Identify questions to be answered about possible relationships in data.
- 2.2 * — Compare numerical and graphical representations for two categorical variables.
- 2.3 * — Calculate statistics for two categorical variables.
- 2.4 * — Represent bivariate quantitative data using scatterplots.
- 2.5 * — Determinethecorrelation for a linear relationship.
- 2.6 * — Calculate a predicted response value using a linear regression model.
- 2.7 * — Residuals DAT-1 Regression models may allow us to predict responses to changes in an explanatory variable.
- 2.8 * — Estimate parameters for the least-squaresregression line model.
- 2.9 * — Identifyinfluentialpoints in regression.
Unit 3: Collecting Data
- 3.1 * — Identify questions to be answered about data collection methods.
- 3.2 * — Identify the type of a study.
- 3.3 * — Identify a sampling method, given a description of a study.
- 3.4 * — Identify potential sources of bias in sampling methods.
- 3.5 * — Identify the components of an experiment.
- 3.6 * — Explain why a particular experimental design is appropriate.
- 3.7 * — Interpret the results of a well-designedexperiment.
Unit 4: Probability, Random Variables, and Probability Distributions
- 4.1 * — Identify questions suggested by patterns in data.
- 4.2 * — Estimate probabilities using simulation.
- 4.3 * — Calculate probabilities for events and their complements.
- 4.4 * — Explain why two events are (or are not) mutually exclusive.
- 4.5 * — Calculate conditional probabilities.
- 4.6 * — Calculate probabilities for independent events and for the union of two events.
- 4.7 * — Represent the probability distribution for a discrete random variable.
- 4.8 * — Calculate parameters for a discrete random variable.
- 4.9 * — Calculate parameters for linear combinations of random variables.
- 4.10 * — Estimate probabilities of binomial random variables using data from a simulation.
- 4.11 * — Calculate parameters for a binomial distribution.
- 4.12 * — Calculate probabilities for geometric random variables.
Unit 5: Sampling Distributions
- 5.1 * — Identify questions suggested by variation in statistics for samples collected from the same population.
- 5.2 * — Calculate the probability that a particular value lies in a given interval of a normal distribution.
- 5.3 * — Estimate sampling distributions using simulation .
- 5.4 * — Explain why an estimator is or is not unbiased.
- 5.5 * — Sampling Distributions for Sample Proportions § Classroom Resources >
- 5.6 * — Determineparametersof a sampling distribution foradifferenceinsample proportions.
- 5.7 * — Sampling Distributions for Sample Means UNLORC--31
- 5.8 * — Determineparametersofa sampling distribution for a differenceinsamplemeans.
Unit 6: Inference for Categorical Data — Proportions
- 6.1 * — Identify questions suggested by variation in the shapes of distributions of samples taken from the same population.
- 6.2 * — Identify an appropriate confidenceinterval procedure for a population proportion.
- 6.3 * — Interpretaconfidence interval for a population proportion.
- 6.4 * — to introduce inference tests) Exploring One-Variable Data UNIT
- 6.5 * — Interpreting p-Values VAR-6 The normal distribution may be used to model variation.
- 6.6 * — Concluding a Test for a Population Proportion DAT-3 Significancetestingallowsustomakedecisionsabouthypotheseswithina
- 6.7 * — Potential Errors When Performing Tests UNC-5 ProbabilitiesofTypeIandTypeIIerrorsinfluenceinference.
- 6.8 * — Confidence Intervals for the Difference of Two Proportions UNC-4
- 6.9 * — Justifying a Claim Based on a Confidence Interval for a Difference of
- 6.10 * — Setting Up a Test for the Difference of Two Population Proportion VAR-6
- 6.11 * — Carrying Out a Test for the Difference of Two Population Proportions VAR-6
Unit 7: Inference for Quantitative Data — Means
- 7.1 * — Introducing Statistics: Why Should I Worry About Error? VAR-1
- 7.2 * — Constructing a Confidence Interval for a Population Mean VAR-7
- 7.3 * — Justifying a Claim About a Population Mean Based on a Confidence Interval
- 7.4 * — Setting Up a Test for a Population Mean SKILLS Selecting Statistical
- 7.5 * — Calculate an appropriate test statistic for a population mean, including the mean differencebetweenvaluesin matched pairs.
- 7.6 * — .1 Consider a simple random sample from population1ofsize n ,mean μ ,andstandard deviationσ 1 and a sec1ond simple r 1andom samplefrompopulation2ofsize n2 ,mean μ2 , of populations 1 and 2 are normal or if both and standard deviation σ 2 . If the distributions n1 an
- 7.7 * — Interpretaconfidence intervalforadifferenceof population means.
- 7.8 * — Identify an appropriate selection of a testing methodforadifference of two population means.
- 7.9 * — Calculate an appropriate test statisticforadifferenceof two means.
- 7.10 * — Skills Focus: Selecting,
Unit 8: Inference for Categorical Data — Chi-Square
- 8.1 * — Identify questions suggested by variation between observed and expected counts in categorical data.
- 8.2 * — Describechi-square distributions.
- 8.3 * — Calculate the appropriate statisticforthechi-square testforgoodnessoffit.
- 8.4 * — Calculate expected counts fortwo-waytablesof categorical data.
- 8.5 * — Identify the null and alternative hypotheses forachi-squaretest for homogeneity or independence.
- 8.6 * — Carrying Out a Chi-Square Test for Homogeneity or Independence
- 8.7 * — Skills Focus: Selecting
Unit 9: Inference for Quantitative Data — Slopes
- 9.1 * — Identify questions suggested by variation in scatter plots.
- 9.2 * — C Identifyanappropriateconfidenceintervalprocedureforaslopeofaregression model.
- 9.3 * — G Interpretaconfidence interval for the slope of a regression model.
- 9.4 * — Identify the appropriate selection of a testing method for a slope of a regression model.
- 9.5 * — Calculate an appropriate test statistic for the slope of a regression model.
- 9.6 * — Skills Focus:
* Assessed on the AP Exam (per the Course and Exam Description). All topics listed; unmarked topics are course scope only.
AP® is a trademark registered by the College Board. Course and Exam Description content is used for educational reference; see College Board for the official CED.
AP Course and Exam Description (College Board)
Pricing calculator
Choose materials, tutoring, or both — or book a single session as needed. Customize your plan on the subscribe page.
$1,162 · Statistics · AP · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.