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High AP Statistics

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Pre Requisites

Algebra 1, Geometry, and Algebra 2.

Description

This course is designed to provide college-level instruction on the concepts and tools for working with data. Students collect and analyze data and draw conclusions based on real-world information. The course challenges students to explore patterns, think critically, use a variety of tools and methods, and report their findings and conclusions.

Access the site link below to view the standards from the Florida Department of Education:
Course description: http://www.cpalms.org/Courses/PublicPreviewCourse118.aspx

Access the site link below to view the PDF of the course description from the College Board:
http://apcentral.collegeboard.com/apc/public/repository/ap-statistics-course-description.pdf

Note: This course meets one required math credit for high school graduation.

Segment 1

Univariate Data

Introduction to Univariate Data

Pie Charts

Graphical Displays of Categorical Data Bar Charts

Stem Plots

Graphical Displays of Categorical Data

Measuring the Center

Measuring the Spread

The Number Summary and Boxplots

Density Curves

The Normal Distribution

Standardized Scores

Normal Distribution Calculations

Normality

Bivariate and Categorical Data

Introduction to Bivariate Data

Creating Scatterplots

Interpreting Scatterplots

Correlation

The Least Square Regression Line

Residual and Residual Plots

Correlation and Regression Details

Non-linear Data

Exponential Models

Power Models

Bivariate Categorical Data

Simpson’s Paradox and Other Cautions

Studies and Experiments

Introduction to Studies Experiments and Simulations

Designing Samples and Surveys

The SRS

Bad Sampling

Good Sampling

Cautions about Sampling

Experimental Design

Different Experimental Design

Cautions about Experiments

Simulations

Generalizability

Probability and Random Variables

Introduction and Definition of Probability

Sample Spaces and Counting

Complements Disjoint Events and Addition Rule

Independence and the Multiplication Rule

Unions Venn Diagrams and more Probability

Conditional Probability

Tree Diagrams and more Probability

Discrete Random Variables

Continuous Random Variable

Mean and Variance of Random Variable

The Law of Large Numbers and Rules for Means and Variances

Binomial, Geometric, and Sampling Distributions

Binomial Settings

Finding Binomial Probabilities

The Binomial Formula Mean and Standard Deviation

Practice with Binomial Distributions

Geometric Settings

Calculating Geometrical Probabilities Mean and Standard Deviation

Additional Practice with Binomial and Geometrical Distributions

Introduction to Sampling Distributions

Sample Proportions

Sample Means

The Central Limit Theorem

Review of Random Variables and Sampling Distributions

Segment 2

Introduction to Inference

Confidence Intervals

Sample Size and Confidence Interval Behavior

Confidence Intervals and the Calculator

The Significance Test

Statistical Significance

Connecting Confidence Intervals and Tests of Significance

Significance Tests and Decision Making

Errors and Power

Inference for Means and Proportions

Confidence Intervals for T

Significance Test for T

Conditions for T Testing

T Distributions and the Calculator

T Intervals for Comparing Two Means

T Tests for Comparing Two Means

Confidence Intervals for Proportions

Significance Tests for Proportions

Choosing Sample Size and Using Your Calculator

Confidence Intervals and Two Proportions

Significance Test for Two Proportions

Inference for Goodness of Fit

Chi-Squared Test for Goodness of Fit

Goodness of Fit Conditional and the Calculator

Chi-Squared Test of Association/Independence

Chi-Squared Test of Independence Conditions and the Calculator

Inference for Regression Estimating Slope

Regression and Testing Slope

AP Review

Culminating Project