MATH 3070 – Content Standards (Learning Outcomes)

Title: Introduction to Probability and Statistics

Formulate and solve problems that involve collecting, organizing, and analyzing data.
Explore concept of fairness, uncertainty, and chance.
Collect, organize, and describe data.
Construct, read, and interpret displays of data, including picture, bar, circle, and line graphs.
Formulate and solve problems that involve collecting, organizing, and analyzing data.
Determine probability of an event.
Explore concepts of fairness, uncertainty, and chance.
Collect, organize, and describe data.
Construct, read, and interpret tables, charts, and graphs.
Apply measures of central tendency.
Make inferences and convincing arguments and evaluate arguments that are based on data analysis.
Recognize statistical methods and probability models as powerful decision-making tools.
Devise and conduct experiments or simulations to determine probabilities.
Construct a sample space to determine the theoretical probabilities.
Make predictions that are based on experimental or theoretical probabilities.
Construct and draw inferences from charts, tables, and graphs.
Use curve fitting to predict from data.
Understand and apply measures of central tendency, variability, and correlations.
Use experimental or theoretical probability, as appropriate, to represent and solve problems involving uncertainty.
Use and analyze probability models.
Use descriptive and inferential statistics.

Represent data in tables and graphs.
Exhibit relationships graphically.
Use Venn diagrams and truth tables in problem solving involving set theory and logic.
Use inductive and deductive reasoning.
Use counting principles.
Synthesize the use of algorithmic and combinatorial techniques into problem solving situations.