Introduction to Statistics

Introduction to Statistics

Statistics: Sampling Methods

Statistics Control Groups and the Placebo Effect

Statistics: Introduction to Experiments and Confounding

Statistics: Sources of Bias

Statistics: Collecting Data Exercises

Statistic: Levels of Measurement

Describing Data

Describing Categorical Data Using a Bar Graph, Pareto Chart, Pie Chart, and Pictogram

Statistics: Introduction to the Shape of a Distribution of a Variable

Describing Quantitative Data Using a Histogram

Dot Plots, Histograms, and Box Plots Using Demos

Create a Stem and Leaf Plot

Describing Quantitative Data Using Mean, Median, and Mode

Determine the Mode from a Frequency Table

Ex: Find the Mean and Median of a Data Set Given in a Frequency Table (odd)

Ex: Find the Mean and Median of a Data Set Given in a Frequency Table (even)

Describing Quantitative Data: Range and Standard Deviation

Find the Mean and Standard Deviation of a Binomial Distribution (Desmos)

Determine Absolute Error and Percent Error

Describing Quantitative Data: Quartiles and the Five Number Summary

Determine the Possible Minimum and Maximum from a Histogram

Determine the Sample Size From a Histogram

Determine the Sample Size and Size of a Subset Using a Bar Graph

Determine Frequencies of Subsets from a Histogram

Introduction to Percentiles

Determine the Percent of Data and Number of Values Below and Above a Percentile

Determine the Percent of Data at or Above and at or Below a Percentile

Find a Percentile of a Given Data Set (Average Method)

Determine the Percent of Data an Number of Values Below and Above a Quartile

Ex: Mode, Mid-range, Range, Standard Deviation Using Range Rule of Thumb

Ex: Complete a Frequency Table

Determine the Relative Frequency from a Frequency Table

Ex: Find the Sample Size and Percent of Sample From a Bar Graph

Ex: Make a Prediction using the Sample Statistic (Marbles)

Ex: Determine a Sample Statistics and Make a Prediction using the Statistic

Ex: Find the Percent of an Amount Using a Percent in Pie Chart

Ex: Find the a Percent of a Total Using an Amount in Pie Chart

Describing Quantitative Data using a Box Plot

Ex 1: Compare Two Box Plot Values

Ex 2: Compare Two Box Plot Values

Ex: Determine the Percent Below a Quartile Using a Box Plot

Ex: Determine a Five Number Summary (Odd)

Ex: Determine a Five Number Summary (Even)

Ex: Determine the Five Number Summary from a Box Plot

Determine Outliers on the TI-84

Determine Outliers by Hand (Odd)

Determine Outliers by Hand (Even)

Determine Five-Number Summary, Outliers, and Create a Box Plot on TI-84

Determine Five-Number Summary, Outliers, and Create a Box Plot (Odd)

Determine Five-Number Summary, Outliers, and Create a Box Plot on (Even)

Creating Box Plots on the TI-84

Ex: Interpret the Mean and Standard Deviation of Two Data Sets

Ex: Calculate the Sample Standard Deviation

TI84 One Variable Statistics Overview

TI84 One Variable Statistics Overview with Frequency Table

TI84 One Variable Statistics - Five Number Summary

TI84 One Variable Statistics - Mean

TI84 One Variable Statistics - Mean and Median

TI84 One Variable Statistics - Mean and Median Using a Frequency Table

TI84 One Variable Statistics - Standard Deviation

TI84 One Variable Statistics - Standard Deviation From a Frequency Table

Determine the Mean, Median, Mode, and Range of a Data Set

Mean, Median, Standard Deviation, Min, Max, and Range on the TI84

One Variable Statistics Using Desmos

One Variable Statistics Using a Free Online App (MOER/MathAS)

Probability

Introduction to Probability Lesson

Introduction to Odds Lesson

Expected Value Lesson

And, Or, and Conditional Probability Lesson

Counting, Permutations, Combinations, and Probability Lesson

Introduction to Probability

Ex: Basic Example of Finding Probability - Running a Red Light

Ex: Basic Example of Finding Probability From a Table

Probability from a Table: Grades and Gender

Ex: Basic Probability Review Using Marbles

Probability Using 3 Colored and Numbered Marbles

Determine Basic Probability with Three Different Colored Marbles

Ex: Find Basic Probabilities When Rolling One Fair Die

Ex: Find Basic Probabilities Using a Deck of Cards

The Probability of a Roulette Wheel

Probability of Selecting a Card from a Deck of Playing Cards

Probability of Select a Letter, Consonant, and Vowel from a Sentence

Determine Probability from a Venn Diagram with Cardinality

Determine the Probability of the Complement of an Event (Percent)

Probability: The Probability of the Complement of an Event

Probability: The Probability of Independent Events

Probability of Independent Events: Weather

Probability of Two Independent Events: Two Rolls of a Fair Die

Probability of Two Independent Events: Socks and Shirts

Probability: Determine the Probability of the Union of Events

Probability: Probability of Mutually Exclusive Events

"OR" Probability with Cards: Mutually Exclusive and Not - No Formulas

"OR" Probability with Cards: Mutually Exclusive and Not - Formulas

Determine P(A or B) Given Other Probabilities as Decimals

Introduction to Probability With and Without Replacement

Probability With and Without Replacement: Marbles

Probability With and Without Replacement: Draw 2 cards, One at a Time

Probability with Rolling Two Dice: And , Or (No Formulas)

Probability Without Replacement (Dependent): Selecting Students in Order

Conditional Probability Without Replacement: Draw 2 Cards, One at a Time

Conditional Probability of a Second Roll on a Fair Die Given a First Roll (Independent)

Probability: Probability of Events Not Mutually Exclusive

Determine Probability from a Venn Diagram (Basic, And, Or, Complement)

Ex: Determine a Probability with AND using a Table

Ex: Determine the Probability of a Union Using a Table (Not Mutually Exclusive - No Formula)

Ex: Determine the Probability of the Union of Two Events (OR)

Ex: Determine the Probability of a Union Using a Table (Not Mutually Exclusive)

Ex: Find the Probability of a Complement Using a Table

Ex: Find the Probability of Dependent Events Two Ways

Ex 2: Find the Probability of Dependent Events

Introduction to Conditional Probability

Ex: Find Conditional Probability Using a Table

Conditional Probability Using a Table: Pass a Course and Doing Homework

Conditional Probability with Marbles

Conditional, AND, and OR Probability Using a Table: Car Color and Tickets

Ex: Determine Conditional Probability from a Table

Conditional Probability Using a Table: Pregnancy Test

Conditional Probability Using a Venn Diagram: Dance Categories

Basic and Conditional Probability Using a Table: Car Color and Tickets

Probability Mixed Review: Bingo (Conditional, And, OR, and NOT)

Probability: Bayes’ Theorem

Conditional Probability Using a Table and Bayes' Theorem: Insurance

Conditional Probability Using a Table and Bayes' Theorem: Hospital Visits

Conditional Probability: Bayes’ Theorem – Disease Testing (Table and Formula)

The Counting Principle

The Counting Principle: Cars, Outfits, and Pizza

The Counting Principle: License Plates, Tests, Codes

Probability: The Counting Principle and Dependent Events

Counting: The Number of 4 Letter Codes from 6 Letters with Various Conditions

Counting: The Number of 5 Letter Passwords With and Without Repetition

Probability of 6 Letters With No Repetition

Probability of 3 letters With No Repetition are Vowels

Simplifying Factorial Expressions

Permutations

Combinations

Permutation Examples

Combination Examples

Evaluate Factorials, Permutations, and Combinations Using a Free Online Tool (MOER/Mathas)

Evaluate Factorials, Permutations, and Combinations Using a Free Online Calculator

Factorials, Permutations and Combinations on the Desmos Scientific Calculator

Evaluate Factorials, Permutations, and Combinations Using Desmos

Combinations: The Number of 3 Member Committees from 34 People

Counting: Find the Number of 5 1 Digit Number Picks (Perm and Comb)

Counting Problems

Probability of 4 letters With No Repetition are Vowels

Probability of 3 letters With Repetition are Vowels

Probability a 5 Digit PIN has No Repeated Digits

Probability: Determining Probability Using Combinations

Determining Probability with Combinations

Probability with Combinations

Probability of Drawing Two Hearts (Combinations and Conditional)

Probability of Drawing Two Aces (Combinations and Conditional)

Probability of Drawing Two Face Cards (Combinations and Conditional)

Probability of 5 Card Hands Using Combinations: Part 1

Probability of 5 Card Hands Using Combinations: Part 2

Conditional, AND, and OR Probability Using a Table: Car Color and Tickets

Probability of Male/Female Committee Members Using Combinations

Expected Value

Ex: Expected Value

Expected Value: Life Insurance

Expected Value: Raffle

Expected Value of a Discrete Probability Distribution

Find Probabilities and Expected Value of a Discrete Probability Distribution

Find a Probability of a Binormal Distribution (Survival from Disease)

Find Probabilities of a Binormal Distribution (Coin Tosses)

Ex: Determine Odds from Given Information (Basic)

Ex: Determine Probability Given Odds

Odds of a Roll when Rolling a Single Die

Find Probability from Odds

Probability and Odds of Selecting a Card Face from a Deck of Playing Cards

Determine Odds of a Roulette Wheel

Determine the Complement and Odds of an Event Given Probability (Decimal)

Determine the Complement and Odds of an Event Given Probability (Percent)

Discrete Random Variables

Probability Distribution Function for a Discrete Random Variable

Discrete Probability Distribution

Notation and Probabilities of a Discrete Random Variable Distribution Table

Determine if a Table Represents a Probability Distribution

Find a Missing Probability of a Probability Distribution Table

Expected Value

Ex: Expected Value

Expected Value: Life Insurance

Expected Value: Raffle

Expected Value of a Discrete Probability Distribution

Find the Expected Value (Mean) for a Discrete Random Variable Prob Dist - Partial Table

Find the Expected Value (Mean) for a Discrete Random Variable Prob Dist - Full Table

Find Probabilities and Expected Value of a

Binomial Probability Distribution

Complete a Binomial Distribution Table and Find Probabilities (By Hand)

Determine Binomial Probabilities Using Formulas: P(x=k)

Determine Binomial Probabilities Using the TI-84: P(x=k)

Determine Binomial Probabilities Using the TI-84: P(x=k), P(x<=k), P(x>=k)

Determine Binomial Probabilities Using Desmos P(x=k)

Determine Binomial Probabilities Using Desmos: P(x=k), P(x<=k)

Determine Binomial Probabilities of One Color from a Multinomial Probability Distribution

Graph a Binomial Distribution and Find Probabilities Using Desmos (Definition)

Graph a Binomial Distribution and Find Probabilities Using Desmos

Find a Probability of a Binormal Distribution (Survival from Disease)

Find Probabilities of a Binormal Distribution (Coin Tosses)

Introduction to Multinomial Probabilities

Geometric Probability Distribution

Statistics: Introduction to Geometric Distribution Probabilities

Geometric Distribution Probabilities on the TI-84

Geometric Distribution: Probability, Mean, and Standard Deviation

Statistics: Hypergeometric Distribution Probabilities

Statistics: Intro to the Poisson Distribution and Probabilities on the TI-84

Poisson Distribution Probability with Formula: P(x equals k)

Poisson Distribution Probability with Formula: P(x less than or equal to k)

Statistics: Poisson Distribution Probabilities Using Desmos.com

Continuous Random Variables

Determine Continuous Random Variable Probabilities from Given Probabilities

Mean and Standard Deviation of a Uniform Distribution Using Desmos

Uniform Distribution Probabilities

Basic Uniform Distribution Probabilities

Find a Basic Uniform Distribution Probability from a Given Graph

Uniform Distribution: Checkpoint and Basic Probabilities

Uniform Distribution Percentiles

Uniform Distribution Conditional Probability (2 Methods)

Uniform Distribution Notation and Probabilities: By Hand / Desmos

Determine Uniform Random Variable Probabilities P(c<X<d) : By Hand/TI84/Desmos

Determine Uniform Random Variable Probabilities P(X<c): By Hand/TI84/Desmos

Determine Uniform Random Variable Probabilities P(X>c): By Hand/TI84/Desmos

Uniform Distribution Probabilities Using Desmos

Uniform Distribution Percentiles Using Desmos

Continuous Random Variable: Determine Probabilities Given Alpha Notation

Uniform Distribution: Find x Given Alpha

Introduction to Exponential Distribution Probabilities

Exponential Distribution Percentiles

Exponential Distribution Probabilities and Percentiles (Laptop)

Exponential Distribution: The Memoryless Property

The Normal Distribution

Distribution, Mean, Median, Mode, Range and Standard Deviation Lesson

Quartiles, Five Number Summary, Box Plot, and Percentiles Lesson

Normal Distribution and Empirical Rule With Lesson

Z-scores, Standard Normal Distribution and Percentages/Area on the TI-84 Lesson

Introduction to the Normal Distribution

Order Graphs of a Normal Distribution by Standard Deviation

Normal Distribution: Mean, Median, Mode, and Standard Deviation From Graph

Normal Distribution: Use the Empirical Rule to Find Percentages from Graph

Normal Distribution: Use the Empirical Rule to Find Area from Graph

Normal Distribution: Use the Empirical Rule to Find Number of Students with Test Scores

Normal Distribution: Give an Area to Left/Right, Find the Area to the Right/Left

Complete a Normal Distribution Graph Given Mean and Standard Deviation

Complete a Normal Distribution Graph and Apply the Empirical Rule (exam times)

Normal Distribution: Use the Empirical Rule to Find Percent of Scores Less Than Or Equal to X

Ex 1: Normal Distribution - Use the Empirical Rule

Ex 2: Normal Distribution - Use the Empirical Rule

Ex 1A (Norm Dist) Use the 68-95-99.7 Rule to Find the Percent of Data Between Given Data Values

Ex 1B (Norm Dist) Use the TI84 to Find the Percent of Data Between Given Data Values

Ex 2A (Norm Dist) Use the 68-95-99.7 Rule to Find the Percent of Data Between Given Data Values

Ex 2B (Norm Dist) Use the TI84 to Find the Percent of Data Between Given Data Values

Normal Distribution: Z-Scores

Introduction to the Standard Normal Distribution

Standard Normal Distribution: Relate Standard Deviation to Z-scores

Standard Normal Distribution: Find a Z Score and a Data Value (Dog Weights)

Normal Distribution: Find a Z Score and a Data Value (General)

Normal Distribution: Find Probabilities Given Z-scores Using Table (Left of Z-score)

Normal Distribution: Find Probabilities Given Data Values Using Table (Left of Z-score)

Normal Distribution: Find Probability Using With Z-scores Using the TI84

Normal Distribution: Find Probability Using With Z-scores Using Tables

Normal Distribution: Find Probability of Data Values Using the TI84

Normal Distribution: Find Probability of Data Values Using Tables

Ex 1: Find the Probability of a Z-score Being Less Than a Given Value on a Newer TI84

Ex 2: Find the Probability of a Z-score Being Greater Than a Given Value on a Newer TI84

Ex 3: Find the Probability of a Z-score Being Between Two Z-score on a Newer TI84

Ex 1: Find a Z-score Given the Probability of Z Being Less Than a Given Value

Ex 2: Find a Z-score Given the Probability of Z Being Greater Than a Given Value

Ex 1: Find a Probability Given a Data Value Involving a Normal Distribution - P(x<n) TI84

Ex 2: Find a Probability Given a Data Value Involving a Normal Distribution - P(x>n) TI84

Ex 3: Find a Probability Given a Data Value Involving a Normal Distribution - P(m<x<n) TI84

Ex 1: Find a Data Value Given a Probability Involving a Normal Distribution - TI84

Ex 2: Find a Data Value Given a Probability Involving a Normal Distribution - TI84

Normal Distribution: Find Area Under Curve Using the TI-84 (General)

Normal Distribution Application: Find Area Under Curve Using the TI-84 (Rainfall Probabilities)

Normal Distribution: Find Percent Between Greater Than, Less Than (TI-84)

Normal Distribution: Number of Data Values Between, Greater Than, Less Than Given Values (TI-84)

Find Area Under a Normal Distribution Curve Using a Free Online Tool (MOER/MathAS)

Normal Distribution: Find Probability Given Data Values Using a Free Online App (MOER/MathAS)

Normal Distribution: Find Probability Given Data Values Using a Free Online Calculator (onlinestatbook.com)

Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator (MOER/MathAS)

Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator (onlinestatbook.com)

Normal Distribution: Find Probability Given IQ scores Using a Free Online App (MOER/MathAS)

Normal Distribution: Find the Number of a Sample with Given Weights Using a Free Online App (MOER/MathAS)

Normal Distribution: Find Percent of Days with Given Rainfall Using a Free Online App (MOER/MathAS)

Normal Distribution: Find Probability Given Data Values Using Desmos

Normal Distribution: Find Probability Given Z-scores Using Desmos

Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator

Normal Distribution: Find Probability Given Data Values Using a Free Online Calculator

Normal Distribution: Use Desmos Find a Z-score Given Area Under to the Right

Normal Distribution: Use Desmos Find a Data Value that Corresponds to a Percentile

Normal Distribution: Use Desmos Find a Data Value that Corresponds to a Probability

The Central Limit Theorem

The Central Limit Theorem (Sample Means)

Determine Sample Mean Probabilities Using the TI-84

Determine Sample Mean Probabilities Using Desmos

Determine Sample Mean Probabilities and Percentiles Using the TI-84

Determine Sample Mean Probabilities and Percentiles Using Desmos

Determine Sample Sum Probabilities Using the TI-84

Determine Sample Sum Probabilities Using Desmos

Determine Sample Sum Probabilities and Percentiles Using the TI-84

Determine Sample Sum Probabilities and Percentiles Using Desmos

Confidence Intervals

Introduction to Confidence Intervals (Part 1)

Introduction to Confidence Intervals (Part 2)

Construct a Confidence Interval with a Known Population Standard Deviation (1)

Construct a Confidence Interval with a Known Population Standard Deviation (2)

The Student's t-Distribution: Confidence Intervals

Mean Confidence Intervals Using Student's t-Distribution (Formula)

Mean Confidence Intervals Using Student's t-Distribution (TI-84 Only)

Find Error Bound and Sample Mean from a Confidence Interval

Find a Sample Size Needed Given a Confidence Level (Pop Std Dev Known)

Lesson: Calculate a Confidence Interval for a Population Proportion

Calculate a Confidence Interval for a Population Proportion on a TI-84

Calculate a Confidence Interval for a Population Proportion (Voters)

Calculate a Confidence Interval for a Population Proportion (Basic)

Calculate a Confidence Interval for a Population Proportion (Plus Four Method)

Determine a Sample Size of a Population Proportion

Determine a Mean Confidence Interval Using Desmos

Determine a Sample Size for a Mean Confidence Interval Using Desmos

Determine a Mean Confidence Interval From Data Using Desmos (t-distribution)

Determine a Proportion Confidence Interval Using Desmos

Determine a Sample Size for a Proportion Confidence Interval Using Desmos

Hypothesis Testing with One Sample

Lesson: Null and Alternative Hypotheses

Determining if a Hypothesis Test is Left Tailed, Right Tailed, or Two Tailed

Introduction to Hypothesis Testing Outcomes: Type I and Type II Errors

Determine Null and Alternative Hypotheses and Type I and Type II Errors

Lesson: One Sample Hypothesis Testing

One Sample Hypothesis Testing: Known Pop Standard Deviation (Z-test) TI-84

One Sample Hypothesis Testing: Proportion (TI-84)

One Sample Hypothesis Testing: Student t-Test (TI-84)

Hypothesis Test with Two Samples

Hypothesis Test: Two Population Means with Unknown Standard Deviations (Right Tailed)

Hypothesis Test: Two Population Means with Unknown Standard Deviations (2 Tailed)

Hypothesis Test: Two Population Means with Unknown Standard Deviations (Data)

Hypothesis Test: Two Population Means with Known Standard Deviations (Right Tailed)

Hypothesis Test: Two Population Proportions

Hypothesis Test: Matched or Paired Data

Cohen's d: Small, Medium, Large Effect Sizes

Hypothesis Test: Matched or Paired Dat

The Chi-Square Distribution

Introduction to the Chi-Square Distribution

Chi-Square Distribution: Goodness of Fit Test (Absent Days)

Chi-Square Distribution: Goodness of Fit Test (Televisions)

Chi-Square Distribution: Test of Independence

Chi-Square Distribution: Test of Homogeneity

Chi-Square Distribution: Test of a Single Variance

Comparison of Chi-Square Tests

Linear Regression and Correlation

Introduction to Regression Analysis

Estimate the Correlation Coefficient Given a Scatter Plot

Linear Regression

Ex: Use a Line of Best Fit to Make Predictions

Ex: Determine a Line of Best Fit and Make Predictions

Ex: Linear Regression Application on the TI84 - Supply and Demand

Linear Regression Using Desmos.com

Ex: Make a Prediction Given the Results of Performing Linear Regression

Ex: Graphical Interpretation of a Scatter Plot and Line of Best Fit

Ex 1: Create a Scatter Plot and then Perform Linear Regression on the Calculator

Ex 2: Creating a Scatter Plot and Performing Linear Regression on the Calculator

Linear Regression – Example 1, Example 2

Linear Regression on the TI84 Graphing Calculator

Linear Regression Application on the TI-84

TI-84: Linear Regression, r and r-squared

TI-84: Linear Regression - Meaning of Slope and Vertical Intercept (Investment)

Linear Regression Using Desmos