Unit 5: Data Analysis and Probability

Unit 5: Data Analysis and Probability

This unit emphasizes how statistical methods, probability concepts, and measures of central tendencies are used to collect and interpret data to solve problems.

Unit Focus

Number Sense, Concepts, and Operations

• Understand and use the real number system.
• Understand and explain the effects of addition, subtraction, multiplication, and division on real numbers.
• Apply special number relationships such as sequences to real-world problems.

Algebraic Thinking

• Describe, analyze, and generalize relationships, patterns, and functions using words, symbols, variables, tables, and graphs.
• Determine the impact when changing parameters of given functions.
• Represent real-world problem situations using finite graphs.
• Use systems of equations and inequalities to solve realworld problems graphically and algebraically.

Data Analysis and Probability

• Interpret data that has been collected, organized, and displayed in charts, tables, and plots.
• Calculate measures of central tendency (mean, median, and mode) and dispersion (range) for complex sets of data and determine the most meaningful measure to describe the data.
• Analyze real-world data and make predictions of larger populations by using the sample population data and using appropriate technology, including calculators and computers.
• Determine probabilities using counting procedures, tables, and tree diagrams. 
• Determine the probability for simple and compound events as well as independent and dependent events.
• Explain the limitations of using statistical techniques and data in making inferences and valid arguments.