AP Statistics

Overview:

The AP Statistics course provides students with a comprehensive introduction to the principles and methods of statistical analysis. Through the study of statistical concepts and techniques, students will learn how to collect, analyze, and interpret data to make informed decisions and draw meaningful conclusions. This course prepares students for the AP Statistics exam and provides a solid foundation for further study in statistics and related fields.

Skills to Learn:

• Understanding of basic statistical concepts, including data organization, probability, and inference
• Proficiency in data analysis techniques, including descriptive statistics, hypothesis testing, and regression analysis
• Ability to interpret and critically evaluate statistical information presented in various forms
• Competency in using statistical software and technology to analyze data and conduct statistical experiments

Prerequisites:

• Strong foundation in algebra and basic mathematical concepts
• Familiarity with fundamental statistical concepts, such as measures of central tendency, variability, and correlation
• Analytical thinking skills and the ability to apply mathematical reasoning to solve problems
• Previous coursework in high school mathematics or equivalent background knowledge

Curriculum:

1)Exploring Data:

• Descriptive statistics (mean, median, mode, standard deviation, etc.)
• Graphical displays of data (histograms, box plots, scatterplots)
• Exploratory data analysis techniques

2)Sampling and Experimentation:

• Sampling methods and sampling distributions
• Experimental design principles (randomization, control, replication)
• Surveys and observational studies

3)Probability and Random Variables:

• Probability rules and concepts (addition rule, multiplication rule, conditional probability)
• Discrete and continuous random variables
• Probability distributions (binomial, normal, uniform, exponential)

Statistical Inference:

• Estimation of population parameters (confidence intervals)
• Hypothesis testing (null and alternative hypotheses, Type I and Type II errors)
• Inference for means, proportions, and variances

4)Regression Analysis:

• Simple linear regression and correlation
• Multiple regression analysis
• Residual analysis and model diagnostics

5)Experimental Design and Analysis of Variance (ANOVA):

• Principles of experimental design (randomization, blocking, factorial designs)
• Analysis of variance (ANOVA) for comparing means of multiple groups
• Post-hoc tests and multiple comparisons

6)Nonparametric Methods:

• Rank-based tests (Mann-Whitney U test, Wilcoxon signed-rank test)
• Chi-square tests for independence and goodness of fit
• Bootstrapping and resampling techniques

7)Statistical Software and Technology:

• Introduction to statistical software packages (e.g., R, SPSS, Python)
• Use of calculators and computer software for statistical analysis
• Hands-on practice with data analysis using technology tools

8)Exam Preparation and Practice:

• Review of key concepts and skills tested on the AP Statistics exam
• Practice with multiple-choice and free-response questions
• Test-taking strategies and tips for success on the AP Statistics exam

Through a combination of lectures, discussions, hands-on activities, and real-world applications, students will develop a strong understanding of statistical concepts and their practical applications. This course will equip students with the analytical tools and critical thinking skills necessary to analyze data effectively and make informed decisions in a variety of contexts.

Who: 10,11 and 12th Grades

Duration: 40-60 hours

Fee: $1500