Mathematics of Data Management – MDM4U

COUNTING AND PROBABILITY

Students will solve problems involving the probability of an event or a combination of events for discrete sample spaces; solve problems involving the application of permutations and combinations to determine the probability of an event; demonstrate an understanding of discrete probability distributions, represent them numerically, graphically, and algebraically, determine expected values, and solve related problems from a variety of applications.

PROBABILITY DISTRIBUTIONS

Students will gain an understanding of continuous distributions, and will investigate different shapes of distribution, considering situations that may generate them.

Students will explore the normal distribution in detail and investigate its many applications. They will make comparisons between the normal and binomial distributions. They will form an understanding of the conditions in which they might be used interchangeably and develop the skills that will allow them to decide how and when to make use of these properties.

ORGANIZATION OF DATA FOR ANALYSIS

Data Management comprises all the disciplines related to managing data as a valuable resource. Data does not have meaning unless we are able to use it, make decisions and sound judgment based on it. We do this by using tools for managing the data. In this course we will be using spreadsheets and graphing software to perform complex calculations and link, search, sort and graph data. This unit will focus on the analysis and presentation of one-variable data. Students will process raw data and develop the skills to summarize it in terms of central tendency, spread and distribution. Students will analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries and explore methods of describing a single piece of data in the context of a wider data set. Students use a variety of different software to analyze the presentation of data that has been collected and processed by others. They develop the critical thinking skills necessary to interpret and assess the validity of secondary data and conclusions drawn from it, maintaining an awareness of the possibility of bias and misrepresentation, either deliberate or accidental.

Students submit the third part of their DMI where they process and analyse their individual data sets.

STATISTICAL ANALYSIS

This unit will focus on the analysis and presentation of one-variable data. Students will process raw data and develop the skills to summarize it in terms of central tendency, spread and distribution. Students will analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries and explore methods of describing a single piece of data in the context of a wider data set. Students use various software to analyze the presentation of data collected and processed by others. They develop the critical thinking skills necessary to interpret and assess the validity of secondary data and conclusions drawn from it, maintaining an awareness of the possibility of bias and misrepresentation, either deliberate or accidental.

CULMINATING DATA MANAGEMENT INVESTIGATION

This unit:

• Provides time for students to develop quality projects and investigations.
• Provides time for students to incorporate feedback on Project A into Project and Investigation
• Provides time for students to incorporate feedback on various stages of Investigation B into their presentation.
• Addresses all curriculum expectations through projects and investigations, thereby eliminating the need for an examination.
• Provides more opportunities for feedback and interactions. on it for several months. While some class time will be allotted for the project throughout the semester, students will spend most of their time working on it outside of class time.

Final Assignment

Final Exam

6 hours

2 hours