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High School Statistics Course Outline

1.0 Credit

This course is designed to provide a basic understanding of descriptive and inferential statistics. Topics include the measures of central tendency, standard deviation, combinations and permutations, probability, sampling, and various distributions. Emphasis is on applications of statistical concepts.

This course covers the following probability & statistics concepts:

Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on a single count or measurement variable.
Summarize, represent, and interpret data on two categorical and quantitative variables.
Interpret linear models.

Making inferences and Justifying Conclusions
Understand and evaluate random processes underlying statistical experiments
Make inferences and justify conclusions from sample surveys, experiments and observational studies

Conditional Probability and the Rules of Probability
Understand independence and conditional probability and use them to interpret data
Use the rules of probability to compute probabilities of compound events in a uniform probability model

Using Probability to Make Decisions
Calculate expected values and use them to solve problems
Use probability to evaluate outcomes of decisions

1- Welcome to Statistics!

• Introduction
• Course Description
• Completing Math Assessments
• MLA Formatting Word 2007
• MLA Documentation Updates
• MLA Citation
• MLA Incorporating Sources

2- Introduction to Statistics

• Why Study Probability & Statistics?
• Introduction to Statistics
• Quiz: Sample vs Population
• Classification of Data
• Quiz: Classifying Data
• Experimental Design
• Handout: Bias in Survey Questions
• Worksheet: Experimental Design
• Handout: Introduction to Statistics Exam
• Assignment: Introduction to Statistics Exam

3- Descriptive Statistics

• Frequency Distributions
• Handout: Frequency Distributions Worksheet
• Assignment: Frequency Distributions
• Graphs of Frequency Distributions
• Quiz: Graphs of Frequency Distributions
• Measures of Center
• Handout: Measures of Center Worksheet
• Assignment: Measures of Center
• Weighted Means
• Handout: Weighted Means Worksheet
• Assignment: Weighted Means
• Measures of Variation
• Handout: Measures of Variation Worksheet
• Assignment: Measures of Variation
• Assignment: The MEAN-ing of Standard Deviation
• Handout: Descriptive Statistics Exam
• Assignment: Descriptive Statistics Exam

4- Graphs & Statistical Presentations

• Representing Data Visually
• Handout: Graphing Method Advantages & Disadvantages
• Box-and-Whisker Plots
• Handout: Box and Whisker Plots Worksheet
• Assignment: Box and Whisker Plots
• Stem-And-Leaf Diagrams
• Handout: Stem and Leaf Diagrams Worksheet
• Assignment: Stem and Leaf Diagrams
• Scatter Plots & Line Graphs
• Handout: Scatter Plots & Line Graphs Worksheet
• Assignment: Scatter Plots and Line Graphs
• Pie Charts
• Handout: Pie Charts Worksheet
• Assignment: Pie Charts

5- Probability

• Basic Probability
• Handout: Basic Probability Worksheet
• Assignment: Basic Probability
• The Multiplication Rule
• Handout: Multiplication Rule Worksheet
• Assignment: Multiplication Rule
• The Addition Rule
• Handout: Addition Rule Worksheet
• Assignment: Addition Rule
• Combinations & Permutations
• Handout: Combinations & Permutations Worksheet
• Assignment: Combinations & Permutations
• Quiz: Combination or Permutation?
• Handout: Probability Exam
• Assignment: Probability Exam

6- Probability Distributions

• Discrete & Continuous Variables
• Quiz: Discrete vs Continuous
• Probability Distributions, Part 1
• Handout: Probability Distributions Worksheet
• Assignment: Probability Distributions
• Probability Distributions, Part 2
• Handout: More Probability Distributions Worksheet
• Assignment: More Probability Distributions
• Binomial Distributions, Part 1
• Handout: Binomial Distributions Worksheet
• Assignment: Binomial Distributions
• Binomial Distributions, Part 2
• Handout: More Binomial Distributions Worksheet
• Assignment: More Binomial Distributions

7- The Normal Distribution

• What is the Normal Distribution?
• Handout: The Normal Distribution Worksheet
• Assignment: The Normal Distribution
• Finding Probabilities
• Handout: Finding Probabilities Worksheet
• Assignment: Finding Probabilities
• Finding Values
• Handout: Z-Score Table
• Handout: Finding Values Worksheet
• Assignment: Finding Values
• Central Limit Theorem
• Handout: Central Limit Theorem Worksheet
• Assignment: Central Limit Theorem

8- Linear Regression

• Correlation Coefficient
• Handout: Calculating Correlation with Excel
• Worksheet: Correlation Coefficient
• Least Squares
• Handout: Least Squares Worksheet
• Assignment: Least Squares
• Chi Square Test
• Handout: Chi Square Worksheet
• Assignment: Chi Square

9- Final Project

• Final Project
• Handout: Final Project
• Assignment: Final Project
• Handout: Course Evalulation
• Assignment: Course Evaluation
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