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30-Day Money-Back Guarantee

This course includes:

  • 8 hours on-demand video
  • 10 articles
  • 21 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
Teaching & Academics Math Statistics

Introduction to Probability and Statistics

A college level first course in Statistics
Rating: 4.4 out of 54.4 (356 ratings)
1,092 students
Created by Dane McGuckian
Last updated 1/2019
English
English [Auto]
30-Day Money-Back Guarantee

What you'll learn

  • Students will learn probability and basic techniques of data analysis and inference. Additionally, students will gain a deeper understanding of the underlying concepts.

Requirements

  • Basic Arithmetic and Algebra Skills

Description

This course will begin with an overview of data types and descriptive Statistics. There will be extensive coverage of probability topics along with an introduction to discrete and continuous probability distributions. The course ends with a discussion of the central limit theorem and coverage of estimation using confidence intervals and hypothesis testing. This course is equivalent to most college level Statistics I courses.

Who this course is for:

  • Students that are taking or would like to take an introductory course in Statistics in college or an AP course in high school will find this course useful.

Course content

8 sections • 96 lectures • 8h 24m total length

  • The Role of Statistics
    01:11
  • Preview04:07
  • Identify a Statistical Population
    5 questions
  • Preview03:10
  • The Reasons for Taking a Sample
    4 questions
  • Preview07:35
  • Classifying Data
    9 questions
  • Population Parameters Vs Sample Statistics
    04:13
  • Parameters and Statistics
    4 questions
  • Descriptive Statistics Vs Inferential Statistics
    01:05
  • Simple Random Samples
    00:47
  • Section 1 Mixed Practice
    13 questions

  • Organizing and Presenting Data
    01:50
  • Relative Frequency
    03:02
  • Relative Frequency
    2 questions
  • Histograms
    04:54
  • Histograms
    2 questions
  • Left-End-Point Convention
    03:08
  • Simplifying an Expression in Summation Notation
    06:01
  • Simplify an Expression Using Summation Notation
    2 questions
  • Four Important Properties of the Mean
    02:25
  • Four Important Properties of the Mean
    4 questions
  • Identifying Situations Where the Mean, Median, and Mode Should be Used
    08:30
  • Identify Situations Where the Mean, Median, and Mode Should be Used
    6 questions
  • Categorize a Distribution as Either Left Skewed, Right Skewed, or Symmetric
    04:11
  • Categorize a Distribution as Either Left Skewed, Right Skewed, or Symmetric
    6 questions
  • The Role of Measures of Dispersion in Descriptive Statistics
    01:38
  • Identify the Role of Measures of Dispersion in Descriptive Statistics
    4 questions
  • Determine when the Range is an Appropriate Measure of Dispersion
    04:58
  • Determine when the Range is an Appropriate Measure of Dispersion
    5 questions
  • Standard Deviation and Variance
    05:10
  • The Standard Deviation and Variance
    6 questions
  • Calculate the Standard Deviation for a Set of Data
    07:39
  • Calculate the Standard Deviation for a Set of Data
    3 questions
  • Chebyshev’s Theorem
    09:21
  • Chebyshev’s Theorem
    4 questions
  • Preview05:05
  • Calculate the Minimum Percentage of Data Inside a Symmetric Interval
    3 questions
  • Calculate the Maximum Percentage of Data Outside a Symmetric Interval
    10:23
  • Calculate the Maximum Percentage of Data Outside a Symmetric Interval
    3 questions
  • Create an Interval that Captures At Least 1-1k^2 of the Data
    08:12
  • Create an Interval that Captures At Least 1-1k^2 of the Data
    5 questions
  • The Empirical Rule
    04:50
  • The Empirical Rule
    6 questions
  • Form an Interval that Captures Approximately X% of the Data
    Processing..
  • Form an Interval that Captures Approximately X% of the Data
    3 questions
  • Use the Empirical Rule to determine the Percentage of Data Inside an Interval
    05:57
  • Use the Empirical Rule to determine the Percentage of Data Inside an Interval
    6 questions
  • Contrast the Use of Chebyshev's Theorem and the Empirical Rule
    05:22
  • Contrast the Use of Chebyshev's Theorem and the Empirical Rule
    6 questions
  • Calculate and Interpret Z-scores (as a Measure of Unusualness)
    07:11
  • Calculate and Interpret Z-scores (as a Measure of Unusualness)
    4 questions
  • Use Z Scores to Compare the Relative Standing of Two Measurements
    06:57
  • Use Z Scores to Compare the Relative Standing of Two Measurements
    6 questions
  • Mixed Practice Sections 1 and 2
    29 questions

  • Preview06:02
  • Basic Probability Approach
    3 questions
  • Know When to Assume Equally Likely Outcomes When Calculating Probability
    01:31
  • Know When to Assume Equally Likely Outcomes When Calculating Probability
    4 questions
  • Preview04:20
  • Calculate Basic Probability
    5 questions
  • Explain the Law of Large Numbers
    03:20
  • Explain the Law of Large Numbers
    6 questions
  • Discuss the Minimum and Maximum Likelihood of an Event
    04:32
  • Discuss the Minimum and Maximum Likelihood of an Event
    4 questions
  • Interpret a Given Probability Value
    01:29
  • Interpret a Given Probability Value
    5 questions
  • Use the Fundamental Counting Rule to Determine the Number of Possible Outcomes
    06:40
  • Use the Fundamental Counting Rule to Determine the Number of Possible Outcomes
    7 questions
  • Define Combinations and the Factorial Operation
    05:50
  • Define Combinations and the Factorial Operation
    6 questions
  • Apply the Combinations Formula to Determine the Number of Possible Outcomes
    03:05
  • Apply the Combinations Formula to Determine the Number of Possible Outcomes
    5 questions
  • Contrast the Situations where It Is Appropriate to Use Combinations and Permutat
    08:24
  • Contrast Situations where It Is Appropriate to Count Combinations & Permutations
    6 questions
  • Contrast P(A ∪ B) and P(A ∩ B)
    00:49
  • Contrast P(A ∪ B) and P(A ∩ B)
    5 questions
  • Use the Addition Rule of Probability with and without a Contingency Table
    05:14
  • Use the Addition Rule of Probability with and without a Contingency Table
    9 questions
  • Contrast the Meaning of Mutually Exclusive Events and Independent Events
    02:04
  • Contrast the Meaning of Mutually Exclusive Events and Independent Events
    6 questions
  • Use the Addition Rule of Probability for Mutually Exclusive Events
    07:38
  • Use the Addition Rule of Probability for Mutually Exclusive Events
    5 questions
  • Interpret a Conditional Probability
    02:27
  • Interpret a Conditional Probability
    6 questions
  • Use the Conditional Rule of Probability Without a Contingency Table
    04:24
  • Use the Conditional Rule of Probability Without a Contingency Table
    6 questions
  • Use the Conditional Rule of Probability With a Contingency Table
    03:21
  • Use the Conditional Rule of Probability With a Contingency Table
    4 questions
  • Use the Multiplication Rule for Independent Events
    05:58
  • Use the Multiplication Rule for Independent Events
    4 questions
  • Use the Multiplication Rule for Dependent Events
    05:49
  • Use the Multiplication Rule for Dependent Events
    5 questions
  • Know the Approach to Calculate the Probability of At Least One of Something
    10:35
  • Know the Approach to Calculate the Probability of At Least One of Something
    4 questions
  • Calculate the Probability of At Least One of Something
    06:44
  • Calculate the Probability of At Least One of Something
    4 questions
  • Mixed Practice Section 3
    18 questions

  • Probability Distributions for Discrete Random Variables
    07:02
  • Probability Distributions for Discrete Random Variables
    5 questions
  • Calculate and Interpret the Expected Value of a Discrete Random Variable
    09:52
  • Calculate and Interpret the Expected Value of a Discrete Random Variable
    4 questions
  • Calculate the Variance and Standard Deviation of a Discrete Random Variable
    09:25
  • Calculate the Variance and Standard Deviation of a Discrete Random Variable
    2 questions
  • The Characteristics of a Binomial Experiment & the Binomial Probability Formula
    05:48
  • The Characteristics of a Binomial Experiment & the Binomial Probability Formula
    5 questions
  • Calculate the Probability of X Successes in a Binomial Experiment
    04:57
  • Calculate the Probability of X Successes in a Binomial Experiment
    3 questions
  • Calculate the Probability of a Cumulative Set of Events for a Binomial Experimen
    06:37
  • Calculate the Probability of a Cumulative Set of Events for a Binomial Experimen
    3 questions
  • Calculate the Mean and Standard Deviation of a Binomial Random Variable
    04:08
  • Calculate the Mean and Standard Deviation of a Binomial Random Variable
    3 questions
  • Mixed Practice Section 3 and 4
    18 questions

  • Traits of Continuous Random Variables
    01:33
  • Traits of Continuous Random Variables
    4 questions
  • Contrast Probability for Continuous Random Variables & Discrete Random Variables
    03:06
  • Contrast Probability for Continuous Random Variables & Discrete Random Variables
    3 questions
  • A Family of Normal Distributions
    04:07
  • A Family of Normal Distributions
    4 questions
  • Find Areas Under the Standard Normal Curve between the Mean and a Value
    03:06
  • Find Areas Under the Standard Normal Curve between the Mean and a Value
    4 questions
  • Areas Under the Standard Normal Curve Inside an Interval Surrounding the Mean
    03:49
  • Areas Under the Standard Normal Curve Inside an Interval Surrounding the Mean
    3 questions
  • Areas Under the Normal Curve between Two Values on the Same Side of the Mean
    03:23
  • Areas Under the Normal Curve between Two Values on the Same Side of the Mean
    3 questions
  • Areas Under the Standard Normal Curve between a Positive Z Value and Infinity
    03:02
  • Areas Under the Standard Normal Curve between a Positive Z Value and Infinity
    3 questions
  • Areas Under the Standard Normal Curve between a Negative Z Value and Infinity
    02:13
  • Areas Under the Standard Normal Curve between a Negative Z Value and Infinity
    3 questions
  • Calculate a Tail Area for a Non-Standard Normal Random Variable
    04:07
  • Calculate a Tail Area for a Non-Standard Normal Random Variable
    4 questions
  • Calculate the Probability a Normal Random Variable is Above-Average or Less
    03:02
  • Calculate the Probability a Normal Random Variable is Above-Average or Less
    3 questions
  • Probability a Normal Random Variable is Between Values that Surround the Mean
    03:42
  • Probability a Normal Random Variable is Between Values that Surround the Mean
    2 questions
  • Calculate the Probability a Normal Variable is Between Two Below Average Values
    04:46
  • Calculate the Probability a Normal Variable is Between Two Below Average Values
    3 questions
  • Calculate the Value Corresponding to an Upper Percentile of the Normal Curve
    05:45
  • Calculate the Value Corresponding to an Upper Percentile of the Normal Curve
    3 questions
  • Calculate the Value Corresponding to a Lower Percentile of the Normal Curve
    05:25
  • Calculate the Value Corresponding to a Lower Percentile of the Normal Curve
    3 questions
  • Mixed Practice Section 5
    18 questions

  • Sampling Distributions and the Desired Traits of a Point Estimator
    11:00
  • Sampling Distributions and the Desired Traits of a Point Estimator
    5 questions
  • The Mean and Standard Error of the Sample Mean
    07:49
  • The Mean and Standard Error of the Sample Mean
    5 questions
  • The Central Limit Theorem
    07:03
  • The Central Limit Theorem
    7 questions
  • Applying the Central Limit Theorem
    06:12
  • Applying the Central Limit Theorem
    3 questions
  • Mixed Practice Sections 5 and 6
    18 questions

  • Interval Estimators
    10:35
  • Interval Estimators
    3 questions
  • Finding Critical Z Values
    05:38
  • Finding Critical Z Values
    3 questions
  • Constructing a Large Sample Confidence Interval to Estimate a Mean
    11:36
  • Constructing a Large Sample Confidence Interval to Estimate a Mean
    5 questions
  • Determine the Sample Size Needed to Estimate a Mean
    10:27
  • Determine the Sample Size Needed to Estimate a Mean
    3 questions
  • Finding Critical t Values
    07:12
  • Finding Critical t Values
    3 questions
  • Constructing a Small Sample Confidence Interval to Estimate a Mean
    08:03
  • Constructing a Small Sample Confidence Interval to Estimate a Mean
    4 questions
  • The Sampling Distribution of the Sample Proportion
    05:23
  • The Sampling Distribution of the Sample Proportion
    3 questions
  • Constructing a Confidence Interval for the Population Proportion
    07:12
  • Constructing a Confidence Interval for the Population Proportion
    5 questions
  • Mixed Review for Section 7
    12 questions

  • Properties of the Null and Alternative Hypotheses
    04:45
  • Properties of the Null and Alternative Hypotheses
    7 questions
  • Determine the Null and Alternative Hypothesis
    05:22
  • Determine the Null and Alternative Hypothesis
    4 questions
  • Test Statistics
    04:01
  • Test Statistics
    4 questions
  • Type I and Type II Errors
    09:40
  • Type I and Type II Errors
    5 questions
  • Reducing the Likelihood of a Type I Error
    05:58
  • Reducing the Likelihood of a Type I Error
    8 questions
  • Finding a Critical Value for a One-Tailed Hypothesis Test
    04:03
  • Finding a Critical Value for a One-Tailed Hypothesis Test
    2 questions
  • Express the Rejection Region for a Two-Tailed Hypothesis Test
    05:12
  • Express the Rejection Region for a Two-Tailed Hypothesis Test
    2 questions
  • The Classical Approach to a Large-Sample Hypothesis Test of the Population Mean
    07:29
  • The Classical Approach to a Large-Sample Hypothesis Test of the Population Mean
    2 questions
  • Rules for Calculating a P-Value
    05:26
  • Rules for Calculating a P-Value
    4 questions
  • Calculating a P-Value
    04:01
  • Calculating a P-Value
    4 questions
  • The P-Value Method of Hypothesis Testing
    05:00
  • The P-Value Method of Hypothesis Testing
    3 questions
  • Finding a t Critical Value for a Two-Tailed Hypothesis Test
    02:51
  • Finding a t Critical Value for a Two-Tailed Hypothesis Test
    2 questions
  • Small-Sample Hypothesis Tests about a Population Mean
    04:50
  • Small-Sample Hypothesis Tests about a Population Mean
    2 questions
  • Mixed Practice Sections 7 and 8
    32 questions

Instructor

Dane McGuckian
University Statistics Instructor
Dane McGuckian
  • 4.4 Instructor Rating
  • 356 Reviews
  • 1,092 Students
  • 1 Course

Dane McGuckian has almost 20 years of experience helping students learn mathematics and statistics. For the past 13 years, he has taught Statistics full-time  at the college level. He is a published author, and he owns two websites devoted to math and statistics instruction. Dane loves the challenge of making difficult concepts intuitive for new learners.     

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