The Normal Distribution and the 68-95-99.7 Rule (5.2)

Learn about the normal distribution and how the value of the mean and standard deviation affect it, and learn about the 68-95-99.7 rule.

Table of Contents
0:00 - Learning Objectives
0:20 - The difference between a Parameter and a Statistic
1:12 - The Normal Distribution Explained
2:28 - Effects of the Mean Mu on the Normal Curve
2:57 - Effects of the Standard Deviation Sigma on the Normal Curve
3:36 - Characteristic Overview of the Normal Distribution
4:27 - The 68-95-99.7 Rule
6:14 - Practice Question #1
7:22 - Practice Question #2
8:32 - Connect with us

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You can find practice questions and study guides on our website.

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Thank you for watching the video. Feel free to leave any comments below!

[ethanlim]

the fact that he added practice questions give me mad respect for this mans work

[oibal]

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[lec]

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Me when I m(ew)u so I become sigma 🤫🧏‍♂️

[scssrng]

Jeez, I'm studying at one of the most prestigious business schools in my country, and never have I heard an explanation of the normal distribution and the the 68-95-99.7 % rule, that is so simple and easy to grasp.
Just, wow. Great job, this is going into my Statistics playlist, and I'm liking it right now.

[michellescherer]

I am a professor of engineering teaching my daughter statistics and this is probably the best video I have seen on introducing the normal distribution. Kudos.

[chalavadisaisrujankumar]

Although I know most of this stuff, I was astonished by the way the graphics had added detail to the presentation. Excellent presentation.

[MidlandTexan]

I think I learned more out of this video, than I did in my college Sadistics class 40 years ago

[joliepippins]

I have an exam in an hour and this helped everything click right away. Thank you so much!

[samlulu]

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[sanjeevksoin]

Excellent! Precisely done along with easy, user-friendly, easy for one to understand, up to the mark, and rank beautiful infographic implementation with a great sound knowledge of the subject.

Thanks! for such a nice video!
❤

[davidgbf]

Perfect explanation for my Statistical Quality Control class. Greetings from Universidade Federal do Tocantins (Brazil).

[spiderking]

This really helped me understand the normal deviation rule. Thank you so much, this was very useful and a great way of simplifying the rule for easier understanding.

[angelaxi]

The way you explained everything was in a very organized matter. Thank you!!

[priyeshtandel]

Creating Curiosity and interest in the students is not a child's play, That is just what you did !😇 Thank you ❤

[nikkihuang]

This is amazing, your videos should be compulsory viewing for statistics teachers and lecturers!

[elddawar]

The tails of the curve of Normal Distribution never touches the axis as it is asymptotic to the x-axis, indicating that a variable can take on any theoretically possible value, although the probability of it is very less.

[granvillaustine]

This is legit premium content for free on YouTube, tomorrow;s my exam and your videos helps a lot! More animations and interactive it got, more impressed I was from your content delivery <3

[laurynhboone]

Thank you! I have such a greater understanding of standard deviation because of the visuals and I can actually get the 68-95-97.7 rule. The questions at the end also helped me understand better.

[VGF]

4:23 mistake: the value used at the end of that notation is supposed to be the variance (σ²) not standard deviation.
Note: that I studied normal distribution in Australia.