Learn the Normal or Gaussian distribution in statistics

109 students enrolled

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Learn through clear lectures and hands-on solved problems how to fully understand the Normal Distribution.

109 students enrolled

What Will I Learn?

- By the end of this course, you will be able to fully use the standard normal table
- By the end of this course you will be able to find the Z values corresponding to percentiles of the normal distribution
- By the end of this course, you will be able to solve real world problems about the Normal distribution
- By the end of this course, you will understand what a sampling distribution of the mean is and the Central limit theorem

Requirements

- Algebra course
- A scientific calculator to calculate Z values and finding areas
- Basic probability concepts

Description

This course is about the Normal distribution, the most important distribution in statistics. Since the Normal or Gaussian distribution is essential to understanding many inferential statistical concepts and real world applications in the area of quality engineering, six-sigma, business, psychology, health, education, etc. the course covers all the fundamental concepts.

We provide standard normal tables using both a negative and positive z values, a table of percentiles of the standard normal distribution and other supporting documents to help the student fully grasp the concepts of the Normal distribution and how to solve real world problems based on that distribution.

The course has a wealth of selected problems and quizzes to reinforce the understanding of the concepts. In addition, a final test is available for those who want to test their understanding.

In order to fully understand the material, it may take between ten or more hours to read the lectures, practice and complete the quizzes.

The normal distribution is highly important to understanding real world applications of statistics and as such is recommended to anyone interested in statistics and analytics.

Who is the target audience?

- College students taking a statistics course
- Professionals interested in six-sigma applications
- Professionals in the area of business, engineering, psychology, etc.
- Anyone interested in understand the Normal (Bell-Shaped) or Gaussian distribution

Compare to Other Statistics Courses

Curriculum For This Course

18 Lectures

01:27:11
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Normal distribution course data files
3 Lectures
00:00

Table of the standard normal table with positive Z values

Standard Normal tables

1 page

This table provides the Z values corresponding any given percentile of the normal distribution

Table of Z values corresponding to percentiles of the normal distribution

1 page

This lecture summarizes the central limit theorem results

Central limit theorem: Pierre-Simon Laplace

1 page

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Basics of Normal distribution and reading the standard normal table
4 Lectures
31:25

This video provides a good introduction to the normal distribution, by explaining its properties and the many uses of the normal distribution in practical applications such as business, education, engineering, health, etc..

It also explains the standard normal distribution which is a normal distribution with mean zero and standard deviation one.

Preview
07:00

This video explains in detail how to read the standard normal table. Using the tables with negative and positive Z values, the lecture explains how the areas or probabilities under the standard normal table are found.

Preview
09:56

This video explains through practical examples how to find the areas under the standard normal curve.

Practical examples finding the areas under the standard normal table

12:15

This video explains in details how to find the areas under the standard normal curve when the Z value is not listed on the table.

Finding the areas under the standard normal table when the Z value is not listed

02:14

In this quiz, we are asked to find the areas under the standard normal curve

Finding the area under the standard normal curve

6 questions

In this quiz we continue finding the area understand normal table

Reading the standard normal table

5 questions

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Properties of the Normal distribution and solving related problems
3 Lectures
11:48

This lecture discusses the properties of the normal distribution and how to standardize by computing the Z values.

Properties of the Normal distribution: computing the Z value

03:15

In this lecture, we explain how to solve various normal distribution problems by standardizing or computing the Z values.

Solving Normal distributions problems by standardizing or computing the Z value

04:19

This video explains through more practical exercises how to use the normal distribution.

Understanding how to use the normal distribution to solve problems

04:14

Hands-on application of the normal distribution to solve problem.

Solving problems about the normal distribution (1)

1 question

In this quiz, you are asked to solve a normal distribution problem.

Solving normal distribution problems (2)

1 question

In this quiz, you are asked to solve a normal distribution problem.

Solving normal distribution problems (3)

2 questions

In this quiz, you are asked to solve a problem related to the normal distribution

Normal distribution problem

1 question

In this quiz, you are asked to solve a normal distribution related problem.

Solving normal distribution problems (4)

1 question

In this quiz, you are asked to calculate a probability of the normal distribution.

Application of the normal distribution

1 question

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Percentiles of the normal distribution
5 Lectures
24:13

This videos discusses the concepts of percentiles under the normal distribution, how to find a score or measurement corresponding to a given percentile of the normal distribution and how to find the Z value

Percentiles of the normal distribution

04:49

Practical examples abut how to read a Z value corresponding to any given percentile of the standard normal distribution

Finding the Z values corresponding to given percentiles

07:23

In this video, we continue explaining how to find the Z value corresponding to a given percentile including cases where we need to find Z values to a given middle X%, say 60, 80, 85, 90, etc.. percent

More about finding the Z values corresponding to a given percentile

03:45

In this lecture, we show how to solve problems about percentiles of the normal distribution

Solving problems about percentiles of the normal distribution

06:03

In this lecture, we continue with hands-on examples showing how to solve problems pertaining to percentiles of the Normal distribution.

Finding scores or measurements corresponding to a given percentile

02:13

In this quiz, we are asked to compute a score corresponding to a top percentile of the normal distribution

Finding a score corresponding to a percentiles of the normal distribution

1 question

In this quiz, you are asked to find a score corresponding to a 99th percentile of the standard normal distribution

Finding a score corresponding to the 99th percentile of the standard normal

1 question

In this quiz, you are asked to find cut-offs values corresponding to a normal distribution percentiles

Finding cut-offs values based on the percentile of the normal distribution

1 question

In this quiz, we are asked to find the cut-off value corresponding to a percentile of the standard normal distribution.

Finding a cut-off value corresponding to a percentile of the standard normal

1 question

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Sampling distribution of the mean and the Central Limit Theorem
2 Lectures
13:14

This video discusses the sampling distribution of the mean, provides the sampling distribution results and also explains the central limit theorem

Sampling distribution of the mean and the central limit theorem.

07:26

In this lecture we solve problems related to the sampling distribution of the mean and the central limit theorem

Practical examples of the sampling distributions and the central limit theorem

05:48

In this quiz, we want to calculate a probability about the sample mean

Finding probabilties about the sample mean - Normal distribution

1 question

In this quiz, you will calculate a probability about the sample mean

Central limit theorem: Probability about the sample mean

1 question

In this quiz, you will solve problem related to the sampling distribution of the sample mean

Sampling distribution of the sample mean problems

1 question

In this quiz, we want to solve a sampling distribution of the sample mean problem

Solving problems about the sampling distribution of the sample mean

1 question

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Conclusion
1 Lecture
03:31

Concluding remarks about the Normal Distribution

Concluding Remarks and next steps

03:31

About the Instructor