Normal Distribution EXPLAINED with Examples

Learn how to solve any Normal Probability Distribution problem. This tutorial first explains the concept behind the normal distribution, then it discusses how to find probabilities for this distribution, and finally it ends with a complete example to help solidify the concept. The normal distribution is one of the most popular probability distributions covered in Stat due to its numerous applications to the real world. This topic is also a major building block for more advanced ideas such as confidence intervals and hypothesis testing.

[mariec]

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[Rigby]

This is absolutely class! Sure it dosent explain how to solve the hardest questions involving normal distribution, but darn if it doesn't explain everything it does concisely and neatly!

[kirker]

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[bonniehumphreys]

As a teacher myself, I cannot THANK YOU enough for breaking this down and actually explaining it 🙏 I do not teach math, and never took stats, but I've suddenly found myself in a master's class asking me to do descriptive statistics for the first time ever, and all these "tutorials" out there are made for people who understand stats already... which does not help me at all. You are my HERO. Thank you for saving my sanity (and more importantly, my grade in this class).

[iliasantonopoulos]

I found your video searching to understand Normal Distribution. I got lucky because your tutoring is great. In less than 10 minutes, you made everything clear in simple-simple way! You achieved what pages and pages of math books failed to explain. (The same text in Greek: Βρήκα το video σας ψάχνοντας να καταλάβω την Κανονική Κατανομή. Στάθηκα τυχερός γιατί ο τρόπος που διδάσκετε είναι τέλειος. Σε λιγότερο από 10 λεπτά, τα πάντα έγιναν κατανοητά. Καταφέρατε κάτι που σελίδες επί σελίδων σε βιβλία μαθηματικών απέτυχαν να επιτύχουν.)

[hariprasath]

A very clear explanation of normal distribution wonderful job we like to see more on other probability distribution as well keep up the good work

[menoone]

Thanks, in the past I used to hate probability and statistics due to how my Profs teach it. Your explanation and examples are superb.

[MESSIMAHJJL]

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[Yama_GG]

I love that quote "You have big dreams, don't let a class get in the way" that's what it's feeling like with this Statistics course but you helped me learn where my professor couldn't, thank you!

[maryzulu]

Thanks for the explanation i have understood the normal distribution my exam is in a month time ❤

[prmahes]

Very good video, well explained - thank you so much

[RicardoLopes]

Thank you very much for this brilliant explanation!

[JohnWickXD]

Criminally underrated and truly amazing teaching style!

[Zakiansari]

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[SafiqSafiqSubail]

ths sir this this topic I think a rocket science but now I feel better

[caitlynswifey]

I CANNOT express how much I appreciate the way you taught the topic. As someone who really learns from example, I really LOVE this video and I can't thank you enough.

[skincarewithaustin]

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[mdshahnewajalhasan]

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[NewCalculus]

The "mean" (incorrect term) tells one the frequency of most heights. The "mean" ought to be called the median value wrt the normal distribution because it is not a mean of any kind. Moreover, the word average can mean many things but usually means an "arithmetic mean", therefore, it should not be used at all unless it means 'arithmetic mean'.

An arithmetic mean of heights is most ridiculous to calculate because people cannot be chopped up and redistributed so that they are all of equal height. Similarly, a mean of student grades is ridiculous because students cannot share their grades.

We can know before we calculate an arithmetic mean whether it will be meaningful or not by determining if redistribution makes sense. If yes, then a mean can be calculated without any concerns for outliers. If no, then it is stupid to calculate a mean.

Try the following quiz.

A level magnitude (commonly known as arithmetic mean) is best described as:

[A] The value commonly called an 'average'.
[B] The value that represents all the data if these were made equal through redistribution.
[C] The middle of a set of data.
[D] The sum of all the data divided by the total.
[E] None of the above.

Only one answer is correct.

[sehajsinghsarna]

THE BEST TUTORIAL Understood everything in detail