Learn the Normal or Gaussian distribution in statistics

Learn through clear lectures and hands-on solved problems how to fully understand the Normal Distribution.
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Instructed by Luc Zio Business / Data & Analytics
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  • Lectures 18
  • Length 1.5 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 11/2013 English

Course 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.

What are the requirements?

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

What am I going to get from this course?

  • 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

What 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

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

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Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Normal distribution course data files
1 page

Table of the standard normal table with positive Z values

1 page

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

1 page

This lecture summarizes the central limit theorem results

Section 2: Basics of Normal distribution and reading the standard normal table
07:00

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.

09:56

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.

12:15

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

02:14

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.

6 questions

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

5 questions

In this quiz we continue finding the area understand normal table

Section 3: Properties of the Normal distribution and solving related problems
03:15

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

04:19

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

04:14

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

1 question

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

1 question

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

2 questions

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

1 question

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

1 question

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

1 question

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

Section 4: Percentiles of the normal distribution
04:49

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

07:23

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

03:45

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

06:03

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

02:13

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

1 question

In this quiz, we are asked to compute a score corresponding to a top percentile 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

1 question

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

1 question

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

Section 5: Sampling distribution of the mean and the Central Limit Theorem
07:26

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

05:48

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

1 question

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

1 question

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

1 question

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

1 question

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

Section 6: Conclusion
03:31

Concluding remarks about the Normal Distribution

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Instructor Biography

Luc Zio, Adjunct faculty of Math and Statistics

I  have over 18 years of work experience in the field of statistics as an Applied Statistician. For the last  twelve years, I have also  been teaching undergraduate college level statistics courses at St Petersburg College.  As an Applied Statistician, I have developed over the years a strong interest in using EXCEL as a statistical tool with my classes in order to give to the students real world hands-on experience with Statistics.

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