# AP Statistics Syllabus Syllabus for AP

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```					                                             Syllabus for
AP Statistics
Course Description
Curriculum for this course follows the AP Statistics curriculum set by the College Board. While this
syllabus is geared towards preparing students for the AP Statistics exam in May, a key ingredient to the
course will be the paired student projects meant to teach students not only to gather, analyze, and make
valid conclusions about data correctly, but to present their work effectively to a group while using the
technology made available to them. Course material will focus on four major areas: exploratory data
analysis, designing a study, probability, and statistical inference. Students will learn how to use TI-83
Plus or equivalent graphing calculators and Microsoft Excel in order to come to logical conclusions from
data analysis and statistical and hypothesis testing. Additionally, students will be engaged in creating,
compiling, and analyzing data stemming from in-class activities, observational studies, and experiments;
active participation in these will allow students to gain a deeper understanding of the concepts and
techniques of statistics.

Primary Text
Yates, Moore & Starnes. The Practice of Statistics. 3rd ed., W.H. Freeman & Co., 2008

Supplementary Texts
Rossman, Chance & Barr von Oehson. Workshop Statistics. 3rd ed., Key College Publishing., 2008
Prep for the AP Exam Guide for Yates, Moore, and Starnes’s The Practice of Statistics, 3rd ed., Legacy.

Technology
All students will be issued or will own a TI-83 Plus or equivalent graphing calculator for use in class,
at home, and on the AP Exam. Students will use their graphing calculator extensively throughout the
course. Students will also extensively use Microsoft Excel for analyzing data and hypothesis testing;
students will be required to use Microsoft PowerPoint in order to present the findings of their student
projects.

Course Projects
In pairs, students will design and conduct a sample survey, an observational study, an experiment, and
one of their own choosing from these three using the statistical techniques learned during each quarter of
the course. These projects will involve the collection of data or the use of available data, the analysis
of data using descriptive and inferential statistics, and the drawing of conclusions from their
statistical analysis. Students are required to submit a written report and conduct an oral presentation
utilizing Microsoft PowerPoint to visually display the findings of their research and display the results
of their statistical testing using the TI-83 calculator or using Microsoft Excel.
.
Units of Study
Content/Skills                                        Resources           Time Frame
Unit 1: Exploration of Data                                                    YMS Chapter P,         10 class
Students will be able to:                                                             Chapter 1,      periods
 Recognize whether a study is an experiment, survey or observational                Section 4.2     (each 85 min)
study.                                                                    Workshop Stats
 Identify individuals and variables within a data set.                       Topics 1,2, 3, 6, 7,
 Classify variables as categorical or quantitative.                          8, 9, 10
 Make and interpret bar graphs, pie charts, stem plots, dot plots, box
plots, histograms and other graphical representations of distributions.
 Find and interpret numerical measures of center and spread.
 Describe distributions by their shape, center and spread.
 Recognize outliers.
 Comparing distributions using graphical methods.
 Use a graphing calculator to obtain summary statistics and graphical
representations of a data set.
 Describe the relationship between two categorical variables.
Unit 2: The Normal Distribution                                                YMS Chapter 2          10 class
Students will be able to:                                                      Workshop Stats         periods
 Find and interpret the standardized score of an observation.                Topic 12               (each 85 min)
 Use percentiles to locate individual values within a distribution.
 Apply Chebyshev’s inequality.
 Describe the properties of a density curve including the locations of
the mean and median depending on the shape.
 Describe the properties of a normal density curve.
 Apply the Empirical (68-95-99.7) Rule.
 Use the normal density curve to calculate the proportion of values in a
specified range and to determine a z-score from a percentile.
 Apply the normal curve to any distribution with mean µ and standard
deviation σ.
 Apply graphical elements to assess the normality of a distribution.
Unit 3: Producing Data                                                         YMS Chapter 5          8 class
Students will be able to:                                                      Workshop Stats         periods
 Identify a population in a sampling situation.                              Topics 4, 5            (each 85 min)
 Identify different methods of sampling, strengths and weaknesses of
each and possible bias that might result.
 Recognize the difference between an observational study and an
experiment.
 Identify explanatory and response variables.
 Outline the design of a random experiment.
 Recognize bias due to confounding of explanatory variables
 Recognize the placebo effect and when a double-blind technique
should be implemented.
 Explain how to design an experiment to support a cause-and-effect
relationship.
Unit 4: Probability                                                            YMS Chapter 6          12 class
Students will be able to:                                                      Workshop Stats         periods
 Describe the sample space for random events.                                Topic 11               (each 85 min)
 Apply the basic rules of probability.
 Appropriately use multiplication and addition rules of probability.
 Identify disjoint, complementary and independent events.
 Use tree diagrams, Venn diagrams and counting techniques in solving
probability problems.
Unit 5: Random Variables                                                       YMS Chapter 7       12 class
Students will be able to:                                                                          periods
 Recognize and define discrete and continuous variables.                                         (each 85 min)
 Find probabilities related to normal random variables.
 Calculate the mean and variance of discrete random variables.
 Use simulation methods using the graphing calculator and the law of
large numbers to approximate the mean of a distribution.
 Use rules for means and rules for variances to solve problems
involving sums, differences, and linear combinations of random
variables.
Unit 6: Binomial and Geometric Distributions                                   YMS Chapter 8       6 class periods
Students will be able to:                                                                          (each 85 min)
 Verify the four conditions of a binomial distribution: two outcomes,
fixed number of trials, independent trails, and the same probability of
success for each trial.
 Calculate cumulative distribution functions, cumulative distribution
tables and histograms, means and standard deviations of binomial
random variables.
 Use a normal approximation to the binomial distribution to compute
probabilities.
 Verify the four conditions of a geometric distribution: two outcomes,
the probability of success for each trial, independent trials, and the
count of interest is the number of trials required to get the first
success.
 Calculate cumulative distribution functions, cumulative distribution
tables and histograms, means and standard deviations of geometric
random variables.
Unit 7: Sampling Distributions                                                 YMS Chapter 9       10 class
Students will be able to:                                                      Workshop Stats      periods
 Identify parameters and statistics in a sample.                             Topics 13, 14, 15   (each 85 min)
 Interpret a sampling distribution, including bias and variability and how
to influence each.
 Recognize when a problem involves a sample proportion.
 Analyze problems involving sample proportions, including using the
normal distribution to calculate probabilities.
 Recognize when a problem involves a sample mean.
 Analyze problems involving sample means and understand how to
use the central limit theorem to approximate a normal distribution.
Unit 8: Confidence Intervals                                                   YMS Chapter 10      10 class
Students will be able to:                                                      Workshop Stats      periods
 Describe confidence intervals.                                              Topic 16, 19        (each 85 min)
 Calculate a confidence interval for the mean of a population when the
standard deviation is known.
 Find the sample size required to obtain a confidence interval of
specified margin of error.
 Use the t-procedure to obtain confidence intervals for the mean and
recognize when the t interval is appropriate.
 Use the z-procedure to obtain confidence intervals for a population
proportion.
Unit 9: Introduction to Significance Tests                                     YMS Chapter 11      8 class
Students will be able to:                                                      Workshop Stats      periods
 State the null and alternative hypotheses in a testing situation            Topics 17, 18, 20   (each 85 min)
involving a population mean.
 Calculate the one-sample z statistics and the P-value for both one-
sided and two-sided tests about the mean.
 Assess statistical significance by comparing values.
 Explain Type I error, Type II error and power in significance testing.
Unit 10: Significance Tests about One Parameter                                 YMS Chapter 12      8 class
Students will be able to:                                                       Workshop Stats      periods
 Perform and analyze a one-sample t-test to hypothesize a population          Topics 17, 18, 20   (each 85 min)
mean and discuss the possible problems inherent in the test.
 Use the z procedure to test significance of a hypothesis about a
population proportion.
Unit 11: Significance Tests Comparing Two Parameters                            YMS Chapter 13      8 class
Students will be able to:                                                       Workshop Stats      periods
 Recognize whether one-sample, matched pairs or two-sample                    Topics 21, 22, 23   (each 85 min)
procedures are needed.
 Perform and analyze a two-sample t test to compare the difference
between two means and discus the possible problems inherent in the
test.
 Use the two-sample z procedure to test the hypothesis regarding
equality of proportions in two distinct populations.
Unit 12: Chi-Square Procedures                                                  YMS Chapter 14      5 class
Students will be able to:                                                       Workshop Stats      periods
 Choose the appropriate chi-square procedure for a given situation.           Topics 24, 25       (each 85 min)
 Perform chi-square test and calculate the various relevant
components.
 Interpret chi-square results from computer output.
Unit 13: Examining Relationships                                                YMS Chapter 3,      12 class
Students will be able to:                                                             Section 4.3   periods
 Identify variables as quantitative or categorical.                           Workshop Stats      (each 85 min)
 Identify explanatory and response variables.                                 Topics 26, 27, 28
 Make and analyze scatter plots to assess a relationship between two
variables.
 Find and interpret the correlation coefficient between two variables.
 Find and analyze regressions lines.
 Use regression lines to predict values and assess the validity of these
predictions.
 Calculate residuals and use their plots to recognize unusual patterns.
 Recognize limitations in the correlation coefficient and least squares
regression due to extreme values.
 Recognize lurking variables.
 Explain the difference between correlation and causation.
Unit 14: Inference for Regression                                               YMS Chapter 15,     8 class
Students will be able to:                                                             Section 4.1   periods
 Recognize when linear regression is appropriate for a data set.              Workshop Stats      (each 85 min)
 Interpret the meaning of a regression for a given data set.                  Topic 29
 Interpret the results of computer output for regression.
 Recognize exponential growth and decay.
 Use logarithmic transformations to model a linear pattern, linear
regression to find a prediction equation for the linear data, and
transform back to a nonlinear model of the original data.
Class time (2-3 class periods) will be given for in-class work on each of the
four major projects. Additionally, there will be significant class time
dedicated to AP Exam review prior to taking the AP Exam.

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