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AP® Statistics

Basic & On Demand

Enrollment for Basic and On Demand courses is open on a rolling basis.

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Plus

Teachers can use the complete Plus course curriculum for flexible instruction.

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Course Summary

Understand how a variety of fields such as genetics, weather forecasting, emergency preparedness, political campaigning, and medical studies make use of statistics. Learn the mathematical science of gathering, grouping, and interpreting numerical data. Master the fundamentals of statistics including linear regression, probability, sampling, and inference. In this course, students acquire the statistical know-how to transform numerical data points into knowledge. 

This course prepares students for the AP® Statistics exam.

Curriculum

This is a 2-semester course. We do not recommend taking both semesters simultaneously.

Unit 1: Describing Distributions
  • Pie Charts and Bar Charts
  • Describing Graphs
  • Dotplots
  • Stemplots
  • Comparing Graphs
  • Histograms
  • Ogives
  • Calculator Lesson: Graphing Univariate Graphs
  • Measures of Center
  • Measures of Spread Part 1
  • Measures of Spread Part 2
  • Outliers
  • Box and Whisker Plots
  • Comparing Distributions Again
  • Boxplot/Histogram Exploration
Unit 2: Density Curves and Normal Distributions
  • Uniform Density Curves
  • Funky Figures
  • Mean vs Median
  • Standardization (z-scores)
  • What is a Normal Curve?
  • Empirical Rule
  • z-scores Revisited
  • More Normal Distribution
  • Is the Data Normal?
  • Calculator Lesson: normalcdf and invNorm
Unit 3: Linear Regression
  • Scatterplots
  • Correlation
  • What is an LSRL?
  • Interpreting Slope and y-intercept
  • Finding and Interpreting the Correlation Coefficient (r)
  • More Ways to Find the LSRL
  • More Ways to Find the LSRL Part 2
  • Predicting and Residuals
  • Coefficient of Determination (r^2)
  • Linear Regression: Putting It Together
  • Residual Plots
  • Exponential Data
  • Power Data
  • Residual Plots Revisited
Unit 4: Sampling and Experiments
  • Bad Samples
  • Types of Bias
  • Good Samples = Random Samples
  • Using Random Numbers for Sampling
  • Key Terms in Experimental Design
  • Completely Randomized Design
  • Block Design
  • Matched Pairs
Unit 5: Probability
  • Simulation
  • Simulation Practice
  • Key Terms and Ideas
  • Formulas on the AP® Exam
  • Disjoint Events
  • Independent Events
  • Venn Diagrams
  • Two Way Tables
  • Conditional Probability
  • Independence Revisited
Unit 6: Discrete Random Variables
  • Probability Distributions for Random Variables
  • Mean and Standard Deviation of Discrete Random Variables
  • Rules for Means
  • Rules for Variances
  • Binomial Distribution Part 1
  • Binomial Distribution Part 2
  • Mean and Standard Deviation of Binomial Distributions
  • Geometric Distribution Part 1
  • Geometric Distribution Part 2
  • Mean of Geometric Distributions
  • Binomial, Geometric and Normal Exploration
Unit 7: Sampling Distributions
  • Introduction
  • Funky Figures Revisited
  • Normal Distribution Review
  • Overview of Sampling Distributions
  • Sampling Distribution for x-bar
  • Central Limit Theorem
  • Sampling Distribution for p-hat
  • Conditions for Inference - Proportions
  • Review
Unit 8: Confidence Intervals for 1-Sample Data
  • Introduction
  • Structure of a Confidence Interval
  • Confidence Interval for a Single Mean (z-interval)
  • Practice with Confidence Intervals for a Single Mean (z-interval)
  • What is a t-distribution?
  • Confidence Interval for a Single Mean (t-interval)
  • Matched Pairs t-interval
  • Calculator Lesson: t-interval
  • Confidence Interval for Single Proportion (1-proportion z-interval)
  • Calculator Lesson: 1-proportion z-interval
  • Confidence Level and Finding n
  • Review
Unit 9: Significance Test for 1-Sample Data
  • Introduction
  • Structure of a Test Part 1
  • Structure of a Test Part 2
  • One Sample t-test for Means (The Mechanics)
  • One Sample t-test for Means (Complete Test)
  • Calculator Lesson: One Sample t-test for Means
  • One Sample t-test for Means (Matched Pairs)
  • One Sample z-test for Proportions (The Mechanics)
  • One Sample z-test for Proportions (Complete Test)
  • Calculator Lesson: One Sample z-test for Proportions
  • Significance Level and Overview of Errors
  • Type I and Type II Errors
  • Power
  • Review
  • Hypothesis Tests and Confidence Intervals
Unit 10: Inference for 2-Sample Data
  • Introduction
  • Two-Sample t-interval for Means
  • Calculator Lesson: Two-sample t-interval
  • Two-Sample t-test for Means
  • Calculator Lesson: Two-Sample t-test for Means
  • Two-Sample z-interval for Proportions
  • Calculator Lesson: Two-Sample z-interval for Proportions
  • Two-Sample z-test for Proportions
  • Calculator Lesson: Two-Sample z-test for Proportions
  • Review
Unit 11: Chi-Square Distribution
  • Introduction
  • Chi-Square Goodness of Fit Test - The Components
  • Chi-Square Goodness of Fit Test - The Complete Test
  • Calculator Lesson: Chi-Square Goodness of Fit Test
  • Review of Two-Way Tables
  • Chi-Square Test for Independence - The Components
  • Chi-Square Test for Independence - The Complete Test
  • Calculator Lesson: Chi-Square Test for Independence
  • Review
Unit 12: Inference for Regression
  • Introduction
  • Review of Linear Regression
  • Conditions for Inference for Slope
  • Linear Regression t-interval
  • Calculator Lesson: Linear Regression t-interval
  • Linear Regression t-test for a Slope - The Components
  • Linear Regression t-test for a Slope - The Complete Test
  • Calculator Lesson: Linear Regression t-test for a Slope
  • Review