
AP Statistics Syllabus
Course Introduction
This AP Statistics course is designed to introduce students to the main topics of a freshmanlevel 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 wellreasoned and appropriately communicated conclusions and decisions in a realworld context.
Grading
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 daytoday basis.
Resources
The Practice of Statistics Second Edition by Daniel Yates, David Moore, Daren Starnes; W.H. Freeman and Company; 2002.
TI83 or TI84 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 TI83 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 nonnormal 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 nonlinear 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 welldesigned and conducted survey.
 Identify and perform a variety of sampling designs including simple and stratified random sampling.
 Analyze characteristics of a welldesigned 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 1015.
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, pvalues, oneandtwo 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 tdistribution including calculating tvalues 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.
Chisquare procedures
 Employ the chisquare 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 printouts 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.