This workbook is designed to accompany a co-requisite mathematics course in statistical principles and basic probability theory. As a companion resource, it offers students a solid foundation and understanding of mathematical concepts for success in a college-level, first-year statistics course.
The exercises in this workbook will build mathematical competency in applying number sense, operating with real numbers, solving linear equations and inequalities, evaluating algebraic expressions, analyzing graphs, and critical thinking. Additionally, the content provided will help address the student learning outcomes of communicating mathematically, implementing problem solving strategies, and developing mathematical connections within the context of Introductory Statistics.
With concise, straightforward instruction and multiple guided examples for each section, this workbook can be used in a traditional classroom setting or in tandem with a self-paced approach.
Unit I Principles of Descriptive Statistics
Chapter 1 Number Sense
1.1 Identifying Sets of Numbers and Absolute Value
1.2 Converting between Fraction, Decimal, and Percentage
1.3 Calculating Proportions from Survey Data
1.4 Calculating Relative Frequency as Fraction, Decimal, and Percentage
Chapter 2 Expressions and Graphing
2.1 Plotting Points in the Cartesian Plane
2.2 Introduction to Statistical Symbolic Notation
2.3 Order of Operations in Measures of Central Tendency
2.4 Evaluating Rational Roots in Measures of Variation
2.5 Evaluating Expressions in Measures of Relative Standing
Unit II Principles of Discrete Probability Distributions
Chapter 3 Rational Numbers and Probability
3.1 Computing Probabilities as Fractions, Decimals, and Percentages
3.2 Determining Complementary Probabilities: Subtracting Fractions
3.3 Using the Addition Rule: Adding and Subtracting Fractions
3.4 Using the Multiplication Rule: Multiplying Fractions
3.5 Interpreting Scientific Notation
Chapter 4 Order of Operations, Expressions, and Probability
4.1 Adding Decimals in Discrete Probability Distributions
4.2 Evaluating the Mean of a Discrete Probability Distribution
4.3 Subtracting Decimals in Discrete Probability Distributions
4.4 Interpreting and Using Inequality Notation for Discrete Random Variables
Unit III Principles of Continuous Probability Distributions
Chapter 5 Inequalities, Area, and Continuous Distributions
5.1 Interpreting and Using Inequality Notation for Continuous Random
Variables
5.2 Calculating Probability Using Area of Rectangles
5.3 Calculating Probability Using Other Geometric Shapes
Chapter 6 Linear Equations, Inequalities, and Formulas
6.1 Solving Two-Step Linear Equations
6.2 Solving Multi-Step Linear Equations
6.3 Solving Proportions that Simplify to Linear Expressions
6.4 Solving Linear Inequalities and Graphing the Solution
6.5 Solving Literal Equations for a Given Variable
Unit Iv Principles of Estimation and Hypothesis Testing
Chapter 7 Operations, Expressions, and Confidence Intervals
7.1 Order of Operations in the Margin of Error
7.2 Evaluating the Minimum Required Sample Size
7.3 Determining Independent and Dependent Variables
7.4 Creating a Table of Values from a Linear Equation
Chapter 8 Inequalities, Operations, and Hypothesis Testing
8.1 Order of Operations in the Test Statistic
8.2 Interpreting Inequalities in Hypothesis Testing
8.3 Comparing Magnitude of Real Numbers for a Hypothesis Test
8.4 Graphing a Linear Equation Using Ordered Pairs
Unit V Principles of Inference for Paired and Qualitative Data
Chapter 9 Linear Relationships
9.1 Identifying Slope and y-intercept of a Linear Equation
9.2 Interpreting Slope as a Rate of Change
9.3 Determining the Equation of a Line
9.4 Graphing a Linear Equation Using the y-intercept and Slope
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