 # Pre-Calculus

9-12

Course Outline

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. 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

1. 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

1. Graphs & Statistical Presentations

• Representing Data Visually

• 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

1. Probability

• Basic Probability

Handout: Basic Probability Worksheet

Assignment: Basic Probability

• The Multiplication Rule

Handout: Multiplication Rule Worksheet

Assignment: Multiplication Rule

• Combinations & Permutations

Handout: Combinations & Permutations Worksheet

Assignment: Combinations & Permutations

Quiz: Combination or Permutation?

Handout: Probability Exam

Assignment: Probability Exam

• 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

1. 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

• Central Limit Theorem

Handout: Central Limit Theorem Worksheet

• Assignment: Central Limit Theorem

1. 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

1. Final Project

• Final Project

Handout: Final Project

Assignment: Final Project