MDM4U Data Management | Outstanding International Academy

## MDM4U Data Management

#### University Prep.

Ministry of Education Course Title: Data Management, Grade12, University preparation

Course Code: MDM4U

Prerequisite: MCR3U or MCF3M

Department: Mathematics

### Course Description:

This course broadens students’ 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.

### Unit 1 Counting and Probability (25 hours)

In this unit students will learn to solve problems involving the probability of distinct events or a combination of events and to solve problems using counting   techniques of distinct items. They will apply counting principles to   calculating probabilities and explore the concept of variability.

### Unit 2 Organization of Data for Analysis (15 hours)

In this unit, students will explore the role of data in statistical studies and the concept of variability. They will learn to distinguish between different types of data.   They will describe the characteristics of a good sample, compare sampling   techniques, collect, and organize data.

### Unit 3 Probability Distributions (15 hours)

In this unit students will understand probability distributions for discrete random variables and represent them graphically, numerically and algebraically. They will determine expected values and solve problems related to probability distributions of discrete random variables.

### Unit 4 Modeling Continuous Data (20 hours)

In this unit, students will explore continuous probability distributions and make connections between discrete and continuous probability distributions. They will determine standard deviations, describe key features of the normal distribution, and solve related problems.

### Unit 5 Statistical Analysis (35 hours)

In this unit, students will analyze and draw conclusions from one and two variable data using numerical and graphical methods. They will investigate and evaluate the validity of statistical summaries.