Unit 7: Culminating Data Management Investigation / Final Exam

Overall Expectations:

CDV.01 design and carry out a culminating investigation* that requires the integration and application of the knowledge and skills related to the expectations of this course;
*This culminating investigation allows students to demonstrate their knowledge and skills from this course by addressing a single problem on probability and statistics or by addressing two smaller problems, one on probability and the other on statistics.
CDV.02 communicate the findings of a culminating investigation and provide constructive critiques of the investigations of others.

Specific Expectations

CD1.01 pose a significant problem of interest that requires the organization and analysis of a suitable set of primary or secondary quantitative data (e.g., primary data collected from a student-designed game of chance, secondary data from a reliable source such as E-STAT), and conduct appropriate background research related to the topic being studied;
CD1.02 design a plan to study the problem (e.g., identify the variables and the population; develop an ethical survey; establish the procedures for gathering, summarizing, and analysing the primary or secondary data; consider the sample size and possible sources of bias);
CD1.03 gather data related to the study of the problem (e.g., by using a survey; by using the Internet; by using a simulation) and organize the data (e.g., by setting up a database; by establishing intervals), with or without technology;
CD1.04 interpret, analyse, and summarize data related to the study of the problem (e.g., generate and interpret numerical and graphical statistical summaries; recognize and apply a probability distribution model; calculate the expected value of a probability distribution), with or without technology;
CD1.05 draw conclusions from the analysis of the data (e.g., determine whether the analysis solves the problem), evaluate the strength of the evidence (e.g., by considering factors such as sample size or bias, or the number of times a game is played), specify any limitations of the conclusions, and suggest follow-up problems or investigations; CD2.01 compile a clear, well-organized, and detailed report of the investigation;
CD2.02 present a summary of the culminating investigation to an audience of their peers within a specified length of time, with technology (e.g. presentation software) or without technology;
CD2.03 answer questions about the culminating investigation and respond to critiques (e.g., by elaborating on the procedures; by justifying mathematical reasoning);
CD2.04 critique the mathematical work of others in a constructive manner.

Catholic Graduate Expectations

CGE1d develops attitudes and values founded on Catholic social teaching and acts to promote social responsibility, human solidarity and the common good;
CGE1i Integrates faith with life;
CGE2b reads, understands and uses written materials effectively;
CGE2c presents information and ideas clearly and honestly and with sensitivity to others;
CGE2d writes and speaks fluently one or both of Canada's official languages;
CGE2e uses and integrates the Catholic faith tradition, in the critical analysis of the arts, media, technology, and information systems to enhance the quality of life;
CGE3c thinks reflectively and creatively to evaluate situations and solve problems;
CGE3d makes decisions in light of gospel values with an informed moral conscience;
CGE3f examines, evaluates and applies knowledge of interdependent systems (physical, political, ethical, socio-economic and ecological) for the development of a just and compassionate society;
CGE4f applies effective communication, decision-making, problem-solving, time and resource management skills.