AP Statistics (12th Grade) Math Worksheets, Lessons and Tests (Free PDF)
These ap statistics worksheets follow the College Board course chapter by chapter: each chapter has a lesson, a worksheet of at least 20 worksheet problems with solutions, a timed test with its answer key and an online quiz, all with a free PDF.
Key takeaway: AP Statistics follows the College Board course: exploring one- and two-variable data, collecting data with samples and experiments, probability and random variables, sampling distributions, confidence intervals and significance tests for proportions and means, chi-square tests and inference for regression slopes.
Ap statistics worksheets: all chapters
1. Variables and Categorical Data Displays
Understand individuals and variables · Display a categorical distribution · Compare two categorical distributions
2. Graphs of Quantitative Data and Shape
Display a quantitative variable · Tell skewed from symmetric
3. Mean, Median, Standard Deviation and Outliers
Understand the mean and the median · Measure spread · Decide whether a value is an outlier
4. Five-Number Summary, Boxplots and Comparing Distributions
Understand the five-number summary · Draw a boxplot · Compare distributions · Read skew and outliers in a boxplot
5. z-Scores and the Normal Distribution
Understand a z-score · Understand the normal distribution · Find a normal probability · Work backward from a percentile
6. Two Categorical Variables and Two-Way Tables
Organize two categorical variables · Understand marginal, joint, and conditional relative frequencies · Decide whether two variables are associated
7. Scatterplots and Correlation
Understand a scatterplot · Describe a scatterplot · Understand the correlation coefficient
8. Least-Squares Regression and Residuals
Understand the least-squares regression line · Interpret the slope and intercept · Understand a residual · Measure how well the line fits
9. Sampling Methods and Bias in Surveys
Understand populations, samples, parameters, and statistics · Understand the main random sampling methods · Select a simple random sample with random digits
10. Experimental Design and Random Assignment
An experiment imposes treatments on experimental units and measures a response; an observational study only observes.
11. Probability Rules and Simulation
Estimate probabilities with a simulation · Understand the basic probability rules
12. Conditional Probability and Independence
Understand conditional probability · Understand the general multiplication rule
13. Random Variables, Expected Value and Combining Variables
Understand a discrete random variable · Find the mean and standard deviation of a random variable
14. Binomial and Geometric Distributions
Understand a binomial distribution · Compute binomial probabilities · Understand a geometric distribution
15. Sampling Distributions and the Central Limit Theorem
Understand a sampling distribution · Understand the sampling distribution of a sample proportion · Understand the central limit theorem
16. Confidence Intervals for a Proportion
Understand a confidence interval · Build and check the interval · Interpret the interval and the confidence level
17. Significance Tests for a Proportion
Understand a significance test · Compute the test statistic and p-value · Reach a conclusion · Understand Type I and Type II errors
18. Inference for the Difference of Two Proportions
Build a confidence interval for p1 – p2 · Test H0: p1 = p2
19. t Intervals and t Tests for a Mean
Build and check a one-sample t interval · Carry out a one-sample t test
20. Inference for the Difference of Two Means
Build a two-sample t interval · Test H0: mu1 = mu2
21. Chi-Square Tests
Understand a chi-square test · Test two categorical variables
What students learn in AP Statistics
AP Statistics is a college-level introduction to statistics. Students learn to explore data, plan studies, use probability models and draw conclusions with statistical inference.
The course relies less on algebra than calculus does, and more on interpretation. For example, students must explain what a confidence interval means in context, or whether a p-value gives evidence against a claim. The course ends with the AP exam in May.
- Exploring data: distributions, summary statistics, and two-variable data with regression.
- Collecting data: sampling methods, bias, and experimental design.
- Probability: rules of probability, random variables, binomial and geometric distributions, and sampling distributions.
- Inference: confidence intervals and significance tests for proportions, means, chi-square, and slopes.
A year plan with these ap statistics worksheets
Start with describing data, then move to study design, because inference only makes sense with good data. Next, probability and sampling distributions build the theory. Finally, spend the second half on inference procedures and on writing conclusions in context.
How to use these ap statistics worksheets
Pick a chapter, read its one-page lesson, then solve the worksheet on paper and check every answer with the solutions page. Take the ten-question quiz to see what is still unclear, and finish with the timed test. Every page can be printed from its PDF button, and the quick practice at the bottom of each page gives ten new questions at every visit.
AP Statistics math: common questions
What is AP Statistics?
AP Statistics is a college-level statistics course taught in high school, usually in 11th or 12th grade, ending with the AP exam in May.
What units are in AP Statistics?
Nine units: one-variable data, two-variable data, collecting data, probability, sampling distributions, inference for proportions, inference for means, chi-square, and inference for slopes.
Is AP Statistics hard?
It needs less algebra than calculus but more careful reading and writing: every inference question asks for conditions, a calculation and a conclusion in context.
Are the answers explained?
Yes. Every worksheet worksheet problem and test question has a worked solution, and every quiz answer has an explanation.
Is AP Statistics easier than AP Calculus?
It uses less algebra, but it demands careful reading and writing. Many students find the computations easier and the interpretation harder, especially when a conclusion must be stated in context.
What calculator do you need for AP Statistics?
A graphing calculator with statistics functions is expected on the AP exam. It computes summary statistics, regressions, probabilities and inference tests, so students should practice with it all year.