• AP Statistics Syllabus


    Course Introduction

    This AP Statistics course is designed to introduce students to the main topics of a freshman-level college statistics course. It emphasizes understanding of concepts, statistical language, and statistical techniques. The course requires a practical understanding of statistical tools including the TI83/84 graphing calculator and Minitab statistical software, which will be implemented throughout the course. Students are expected to effectively use experimental design, data analysis, and inference to reach well-reasoned and appropriately communicated conclusions and decisions in a real-world context.



    Six weeks grades will be determined as follows:      

    Tests – 70%

    Quizzes, Daily and Homework – 30%

    The semester exam will constitute 10% of the semester average.

    There will be a test at the end of each instructional unit.

    Quizzes will be given periodically – either announced or unannounced – in order to evaluate the students’ knowledge of the material on a day-to-day basis.



    The Practice of Statistics Second Edition by Daniel Yates, David Moore, Daren Starnes; W.H. Freeman and Company; 2002.

    TI-83 or TI-84 Graphing Calculator

    Decisions Through Data Video Series

    Teacher created worksheets and handouts

    Computers for using Minitab and Microsoft Excel

    Computer output from popular software packages


    Fall Semester:

    Exploring Univariate Data – Chapter 1

    The student will

    • Identify types of data and associated graphs
    • Construct and compare displays including dot plot, stem plot, histogram, cumulative frequency plot, bar graph, pie graph, time plot, and boxplot (By hand and using graphing calculator capabilities)
    • Interpret and/or graphical displays including shape, center, spread, clusters and gaps, outliers, and unusual features using the graphing calculator. Be able to interpret graphs using appropriate language
    • Summarize distributions using appropriate measures for center, shape, and spread
    • Calculate and interpret standard deviation as a measure of spread using TI-83 and interpreting the results using correct vocabulary
    • Evaluate the effect of changing units of measure on summary statistics
    • Project: Fast Food Comparisons of nutritional values using data analysis with graphs







    Counting Techniques and Probability – Chapter 6

    The student will

    • Apply basic probability concepts including permutations, combinations, sample spaces and Venn diagrams (Use graphing calculator for permutations/combinations)
    • Develop and apply the addition and multiplication rules for probability including exclusiveness and independence


    The Normal Distribution – Chapter 2

    The student will

    • Examine properties and calculate probability for non-normal density curves
    • Examine properties of the normal distribution including the empirical rule
    • Use the normal curve to calculate probabilities and determine observed values. Using graphing calculator statistics capabilities to calculate probabilities.
    • Assess the normality of a distribution by graphing data with graphing calculator and also be able to express in words correctly.


    Examining Relationships – Chapter 3

    The student will (using the graphing calculator)

    • Draw conclusions about bivariate data by analyzing and displaying patterns in scatterplots and express the findings in a meaningful coherent manner.
    • Determine and analyze the correlation coefficient and its implications on linearity
    • Determine the least squares regression line and its coefficient of determination
    • Construct and analyze the residual plot for the least squares regression line (LSRL) including outliers and influential points


    More on Two–Variable Data – Chapter 4

    The student will (using the graphing calculator)

    • Transform non-linear data to achieve linearity – log and power transformations, piecewise functions
    • Analyze and describe relationships between two or more categorical variables, including Simpson’s Paradox
    • Investigate the role of lurking variables in effecting association


    Producing Data:  Samples and Experiments – Chapter 5

    The student will

    • Compare and contrast methods of data collection including census, samples, experiments and studies.
    • Analyze characteristics of a well-designed and conducted survey.
    • Identify and perform a variety of sampling designs including simple and stratified random sampling.
    • Analyze characteristics of a well-designed and conducted experiment including control, randomization and replication.
    • Understand the significance of treatments, experimental units, control groups, random assignments and replication in designed experiments.
    • Determine possible sources of bias and confounding and the need for the placebos and blinding.
    • Design completely randomized experiment and blocked experiment including matched pair design
    • Perform experiments using the graphing calculator to generate simulations.
    • Students will be able to effectively explain the process and findings of the experiments

    Probability Revisited – Chapter 6

    The student will

    • Determine the probability of relative frequency using the “law of large numbers” concept.
    • Apply the addition rule, multiplication rule, conditional probability, and independence to determine probability as relative frequency.
    • Connect trees and tables to conditional probability concepts.



    Random Variables – Chapter 7 (Using the graphing calculators statistical programs)

    • Understand and apply probability with discrete random variables and their probability distributions.
    • Understand and apply mean (expected value), standard deviation and linear transformation of a random variable.
    • Understand and apply probability with mean and standard deviation for sums and differences of independent random variables including the notion of independence versus dependence.
    • Be able to explain findings with a thorough understanding of the statistical language

    The Binomial and Geometric Distributions – Chapter 8 (Using the graphing calculators statistical programs)

    • Apply formulas or simulations to determine binomial and geometric probability.
    • Understand and apply mean and standard deviation of a binomial random variable.
    • Use the normal distribution to approximate a binomial distribution.


    Spring Semester:   Students will use the graphing calculators to perform all tests of significance and confidence intervals with a formal write up and presentation.

    Sampling Distributions - Chapter 9

    • Apply the Central Limit Theorem to distribution of sample means.
    • Define aspects of the sampling distribution of sample means using simulations.
    • Determine mean and standard deviation of a sampling distribution of means.
    • Project: Bivariate Analysis.


    Introduction to Significance Tests and Inferences – Chapters 10-15.

    Develop the concept of confidence interval including the relationship between the interval size and confidence level.

    • Determine a confidence interval for a sample mean.
    • Explore the relationship between sample size and margin of error.
    • Perform tests of significance for a mean (z test) including the logic of significance testing, null and alternative hypotheses, p-values, one-and-two sided tests. and conclusions.
    • Explore the consequence of a type 1 and type 2 error as well as their relationship to the power of a test.









    Inferences for one sample distributions

    • Examine the properties of the t-distribution including calculating t-values and probabilities.
    • Determine confidence intervals and perform tests of significance for a sample mean with unknown standard deviation.
    • Determine confidence intervals and perform tests of significance for a matched pair design.
    • Define aspects of the sampling distribution of a sample proportion.
    • Determine the confidence interval for a large sample proportion.
    • Perform tests of significance for a large sample proportion.


    Inferences for two sample distributions

    • Determine the confidence interval for the difference between two sample means.
    • Perform tests of significance for the difference between two sample means.
    • Determine confidence intervals for the difference between two proportions.
    • Perform tests of significance for the difference between two proportions.


    Chi-square procedures

    • Employ the chi-square test for goodness of fit, homogeneity of proportions, and independence


    Inference for Regression

    • Investigate and perform inference for the slope of the least squares regression line (LSRL).
    • Interpret computer print-outs from statistical software.


    Review for AP exam – (Teacher generated) 6 Major Topic Reviews

              Currently released AP Multiple Choice Exam


    ANOVA Procedures for after the exam.