Types of Data and an Intro to Statistics
  • The Role of Statistics
  • Population and Sample
  • Identify a Statistical Population
  • Why Take a Sample of Data?
  • The Reasons for Taking a Sample
  • Categorical Data and Numerical Data: Discrete Vs Continuous
  • Classifying Data
  • Population Parameters Vs Sample Statistics
  • Parameters and Statistics
  • Descriptive Statistics Vs Inferential Statistics
  • Simple Random Samples
  • Section 1 Mixed Practice
Descriptive Statistics
  • Organizing and Presenting Data
  • Relative Frequency
  • Relative Frequency
  • Histograms
  • Histograms
  • Left-End-Point Convention
  • Simplifying an Expression in Summation Notation
  • Simplify an Expression Using Summation Notation
  • Four Important Properties of the Mean
  • Four Important Properties of the Mean
  • Identifying Situations Where the Mean, Median, and Mode Should be Used
  • Identify Situations Where the Mean, Median, and Mode Should be Used
  • Categorize a Distribution as Either Left Skewed, Right Skewed, or Symmetric
  • Categorize a Distribution as Either Left Skewed, Right Skewed, or Symmetric
  • The Role of Measures of Dispersion in Descriptive Statistics
  • Identify the Role of Measures of Dispersion in Descriptive Statistics
  • Determine when the Range is an Appropriate Measure of Dispersion
  • Determine when the Range is an Appropriate Measure of Dispersion
  • Standard Deviation and Variance
  • The Standard Deviation and Variance
  • Calculate the Standard Deviation for a Set of Data
  • Calculate the Standard Deviation for a Set of Data
  • Chebyshev’s Theorem
  • Chebyshev’s Theorem
  • Calculate the Minimum Percentage of Data Inside a Symmetric Interval
  • Calculate the Minimum Percentage of Data Inside a Symmetric Interval
  • Calculate the Maximum Percentage of Data Outside a Symmetric Interval
  • Calculate the Maximum Percentage of Data Outside a Symmetric Interval
  • Create an Interval that Captures At Least 1-1k^2 of the Data
  • Create an Interval that Captures At Least 1-1k^2 of the Data
  • The Empirical Rule
  • The Empirical Rule
  • Form an Interval that Captures Approximately X% of the Data
  • Form an Interval that Captures Approximately X% of the Data
  • Use the Empirical Rule to determine the Percentage of Data Inside an Interval
  • Use the Empirical Rule to determine the Percentage of Data Inside an Interval
  • Contrast the Use of Chebyshev's Theorem and the Empirical Rule
  • Contrast the Use of Chebyshev's Theorem and the Empirical Rule
  • Calculate and Interpret Z-scores (as a Measure of Unusualness)
  • Calculate and Interpret Z-scores (as a Measure of Unusualness)
  • Use Z Scores to Compare the Relative Standing of Two Measurements
  • Use Z Scores to Compare the Relative Standing of Two Measurements
  • Mixed Practice Sections 1 and 2
Probability
  • Basic Probability
  • Basic Probability Approach
  • Know When to Assume Equally Likely Outcomes When Calculating Probability
  • Know When to Assume Equally Likely Outcomes When Calculating Probability
  • Calculate Basic Probability
  • Calculate Basic Probability
  • Explain the Law of Large Numbers
  • Explain the Law of Large Numbers
  • Discuss the Minimum and Maximum Likelihood of an Event
  • Discuss the Minimum and Maximum Likelihood of an Event
  • Interpret a Given Probability Value
  • Interpret a Given Probability Value
  • Use the Fundamental Counting Rule to Determine the Number of Possible Outcomes
  • Use the Fundamental Counting Rule to Determine the Number of Possible Outcomes
  • Define Combinations and the Factorial Operation
  • Define Combinations and the Factorial Operation
  • Apply the Combinations Formula to Determine the Number of Possible Outcomes
  • Apply the Combinations Formula to Determine the Number of Possible Outcomes
  • Contrast the Situations where It Is Appropriate to Use Combinations and Permutat
  • Contrast Situations where It Is Appropriate to Count Combinations & Permutations
  • Contrast P(A ∪ B) and P(A ∩ B)
  • Contrast P(A ∪ B) and P(A ∩ B)
  • Use the Addition Rule of Probability with and without a Contingency Table
  • Use the Addition Rule of Probability with and without a Contingency Table
  • Contrast the Meaning of Mutually Exclusive Events and Independent Events
  • Contrast the Meaning of Mutually Exclusive Events and Independent Events
  • Use the Addition Rule of Probability for Mutually Exclusive Events
  • Use the Addition Rule of Probability for Mutually Exclusive Events
  • Interpret a Conditional Probability
  • Interpret a Conditional Probability
  • Use the Conditional Rule of Probability Without a Contingency Table
  • Use the Conditional Rule of Probability Without a Contingency Table
  • Use the Conditional Rule of Probability With a Contingency Table
  • Use the Conditional Rule of Probability With a Contingency Table
  • Use the Multiplication Rule for Independent Events
  • Use the Multiplication Rule for Independent Events
  • Use the Multiplication Rule for Dependent Events
  • Use the Multiplication Rule for Dependent Events
  • Know the Approach to Calculate the Probability of At Least One of Something
  • Know the Approach to Calculate the Probability of At Least One of Something
  • Calculate the Probability of At Least One of Something
  • Calculate the Probability of At Least One of Something