Course Outline

114 & 115 Advanced Placement Statistics I & II

OBJECTIVES:

1. To explore and analyze data by observing patterns and departures from patterns.

2. To interpret information from graphical and numerical displays and

summaries.

3. To develop plans to collect, organize, and analyze data.

4. To gain an understanding of probability theory and its use in statistical analysis.

5. To apply appropriate statistical models and tests to analyze and infer
information from data.

6. To apply appropriate technology to solve statistical problems.

CURRICULUM GUIDE:

I. Organizing Data.

A. Random samples.

B. Graphs.

C. Histograms and dot plots.

D. Stem and leaf displays.

E. Frequency distribution.

II. Averages and Variation.

A. Mean, mode, and median.

B. Measures of variation.

C. Standard deviation.

D. Range.

E. Quartiles and box plots.

F. Standardized scores.

III. Bivariate Data.

A. Scatter plots.

B. Correlation and linearity.

C. Least squares regression line.

D. Residual plots.

E. Power transformation.

F. Logarithmic transformations.

IV. Frequency Distribution.

A. Marginal and joint frequencies.

B. Conditional relative frequencies.

V. Data Collection

A. Census.

B. Sample survey.

C. Experiment.

D. Observational study.

VI. Planning and Conducting Surveys.

A. Simple random sampling.

B. Survey characteristics.

C. Sampling Error.

D. Sources of Error.

VII. Planning and Conducting Experiments.

A. Confounding, control groups, placebo effect, blinding.

B. Treatments, experimental units, and randomizing.

C. Randomized Design.

D. Replication, blocking, and generalizing ability of results.

VIII. Probability.

A. Law of large numbers.

B. Addition Rule.

C. Multiplication rule.

D. Conditional probability and independence.

E. Discrete random variables.

F. Probability distributions.

IX. Random Variables.

A. Independence vs. dependence.

B. Mean and standard deviation for sums and differences.

X. Normal Distribution.

A. Properties of.

B. Using Tables.

XI. Sampling Distribution.

A. of a sample proportion

B. of a sample mean.

C. Central Limit Theorem.

D. a difference between two proportions.

E. a difference between two means.

XIII. Test of Significance.

A. Null and alternative hypothesis

B. One and two sides tests, p value

C. Large sample test for:

1. proportions.

2. mean.

3. difference between two proportions.

4. differences between two means.

D. Chi Square tests for:

1. goodness for fit.

2. homogeneity of proportions.

3. independence.

XIV. Normal Distribution Data.

A. t-distribution.

B. Single sample t procedures.

C. Two sample t procedures.

D. Inference for slope of the least squares line.

TEACHING STRATEGIES:

In the teaching of AP Statistics, it is recommended that the instructor vary the teaching procedures in order to present an interesting and stimulating class presentation. Projects and outside problem sets will be assigned. Students will also be required to use current technology such as graphing calculators and computers to solve more complex problems.

Resources Available

1. Computers.

a. Excel

b. Study Works.

2. Overhead Projector and Materials

3. Video

a. "What is statistics?"

b. "Graphs and Statistics: Real Life Applications."

c. "Fact or Fiction: Misleading Statistics."

4. Printed Materials (including , but not limited to):

a. How to think about Statistics.

b. Yesterday's sports - Today's math.

c. Statistics: A guide to the unknown.

d. Winning with Statistics.

e. How to think about Statistics

5. Internet Access.