Grade: 12

Level: University

Prerequisite: MCR3U or MCF3M

*This course broadens studentsâ€™ understanding of mathematics as it relates to managing data. Students will apply methods for organizing and analysing large amounts of information; solve problems involving probability and statistics; and carry out a culminating investigation that integrates statistical concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. Students planning to enter university programs in business, the social sciences, and the humanities will find this course of particular interest.*

Many students find the material in this course to be interesting, and often fun, but take note: virtually all questions are “word problems” and answers are highly dependent on how questions are worded. You will need to read each question carefully to determine what it is asking, then decide which of several techniques is appropriate to obtain a correct solution. Strong analytical and critical-thinking skills are a *must* to succeed.

The textbook for this course is McGraw-Hill Ryerson’s Mathematics of Data Management 12.

Some notes about using Gnumeric for statistical analysis are here.

### Probability Project Samples

### Topics Covered

- Statistical Measures
- Visualizing Data with Graphs
- Mean, Median and Mode
- Weighted Means and Grouped Data
- Quartiles and Percentiles
- Standard Deviation and
*z*-Scores - Spreadsheet: Statistical Measures Using a Spreadsheet (Google Sheets)
- Spreadsheet: 500 Marks (Google Sheets)
- Spreadsheet: 1000 Cars (Google Sheets)
- Spreadsheet: After-School Program (Google Sheets)
- Spreadsheet: Greenhouse Gas Emissions (Google Sheets)
- Spreadsheet: Earthquake Data (Google Sheets)
- Practice Test (Google Sheets)

- Statistical Analysis
- Sampling Techniques
- Bias
- Correlation
- Spreadsheet: Correlation Example
- Linear Regression
- Spreadsheet: Linear Regression Example
- Non-Linear Regression
- Spreadsheet: Non-Linear Regression Example
- Cause and Effect
- Critical Analysis
- Spreadsheet: Critical Analysis Examples
- Spreadsheet: High School Graduation Averages

- Counting and Permutations
- Sets and Combinations
- Lesson: Sets
- Lesson: Principle of Inclusion and Exclusion
- Combinations
- Combinations with Repetition
- Problem Solving with Combinations
- Other Counting Techniques

- Pascal’s Method and Binomial Theorem
- Patterns In Pascal’s Triangle
- Pascal’s Triangle and Combinations
- Pascal’s Method
- Binomial Theorem

- Probability
- Probability Distributions
- Normal Probability Distribution
- Lesson: Properties of the Normal Distribution
- Worksheet: Properties of the Normal Distribution
- Lesson: Probabilities Using the Normal Distribution
- Worksheet: Probabilities Using the Normal Distribution
- Handout: Z-Table for the Normal Distribution
- Lesson: The Normal Distribution and Discrete Data
- Lesson: Normal Approximation to the Binomnial Distribution