Calculate the Sample Mean
Find the Median
Find the Mode
Find the Range
Calculate Standard Deviation and Variance for a Sample
Calculate Standard Deviation and Variance for a Population
Summary of Statistical Symbols
Calculator: Find Mean, Standard Deviation, and Median
Calculator: Find Mean and Standard Deviation of a Frequency Distribution
Calculate a Weighted Mean: GPA
Expected Value
The Range rule of thumb
The Empirical Rule
Chebychev's Inequality
Important Principles and Notation
Relative Frequency Approach
Classical Approach
Rule of Complementary Events
Calculate the Odds in Favor of an Event
Calculate the Odds Against an Event
Addition Rule for Disjoint Events
Construct a Tree Diagram
Multiplication Rule, with Replacement
Multiplication Rule, without Replacement
Independent vs Dependent Events
Probability of "At Least One"
Conditional Probabilities
The Fundamental Counting Rule
Factorials
Combinations
Permutations
Calculator: Combinations
Calculator: Permutations
Discrete vs Continuous Variables
Discrete Probability Tables
Requirements for the Binomial Distribution
Binomial Probability Distribution Formula
Calculating Binomial Probabilities (1)
Calculating Binomial Probabilities (2)
Calculating Binomial Probabilities (3)
Calculate Binomial Mean, Standard Deviation, and Unusual Values (1)
Calculate Binomial Mean, Standard Deviation, and Unusual Values (2)
Calculator: Calculating Binomial Probabilities
The Normal Distribution
Properties of the Standard Normal Curve
Finding Probabilities on the Standard Normal Curve- Area to the Left
Finding Probabilities on the Standard Normal Curve- Area to the Right
Finding Probabilities for Real World Values (1)
Finding Probabilities for Real World Values (2)
Calculator: Finding Probabilities on the Standard Normal Curve- Area to the Left
Calculator: Finding Probabilities on the Standard Normal Curve- Area Between
Finding a Z-score from a percentile (1)
Finding a Z-score from a percentile (2)
Finding an IQ score from a percentile
Calculator: Finding a Z-score given area to the Left
Calculator: Finding Cutoff Scores
Calculating Margin of Error (E)
Expressing a Confidence Interval
Construct a Confidence Interval to Estimate a Population Proportion (1)
Construct a Confidence Interval to Estimate a Population Proportion (2)
Construct a Confidence Interval to Estimate a Population Mean, sigma Known
Calculator: Construct a Confidence Interval to Estimate a Population Mean, sigma Unknown
Determine the Minimum Sample Size Required to Estimate a Population Proportion (1)
Determine the Minimum Sample Size Required to Estimate a Population Proportion (2)
Determine the Minimum Sample Size Required to Estimate a Population Mean
Introduction to Hypothesis Testing
Determine Null and Alternative Hypotheses for Proportions
Determine Null and Alternative Hypotheses for Means
Critical Values for Proportions- Left Tailed
Critical Values for Proportions- Right Tailed
Critical Values for Proportions- Two Tailed
Introduction to t-scores
Critical Values for Means, sigma unknown- Left Tailed
Critical Values for Means, sigma unknown- Two Tailed (1)
Critical Values for Means, sigma unknown- Two Tailed (2)
Critical Values for Means, sigma known- Left Tailed
Critical Values for Means, sigma known- Right Tailed
Critical Values for Means, sigma known- Two tailed
Finding the p-value for a Left Tailed Test
Finding the p-value for a Right Tailed Test
Finding the p-value for a Two Tailed Test
Calculator: Finding the p-value for a T test
Calculator Example: Hypothesis Test, p-value Method, Proportions
Example: Hypothesis Test, Critical Value Method, Proportions (1)
Example: Hypothesis Test, Critical Value Method, Proportions (2)
Example: Hypothesis Test, Critical Value Method, Means with sigma unknown (1)
Example: Hypothesis Test, Critical Value Method, Means with sigma unknown (2)
Example: Hypothesis Test, Critical Value Method, Means with sigma known (1)
Example: Hypothesis Test, Critical Value Method, Means with sigma known (2)