PreCalculus
912
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

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

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 MEANing of Standard Deviation
Handout: Descriptive Statistics Exam
Assignment: Descriptive Statistics Exam

Graphs & Statistical Presentations

Representing Data Visually
Handout: Graphing Method Advantages & Disadvantages

BoxandWhisker Plots
Handout: Box and Whisker Plots Worksheet
Assignment: Box and Whisker Plots

StemandLeaf 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

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

Parts of Speech: Adjectives & Adverbs

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

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: ZScore Table
Handout: Finding Values Worksheet

Central Limit Theorem
Handout: Central Limit Theorem Worksheet

Assignment: Central Limit Theorem

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

Final Project

Final Project

Handout: Final Project
Assignment: Final Project