Variance - Clearly Explained (How To Calculate Variance)

In this video, I’m going to clearly explain what variance is in statistics. I will also show you how to calculate variance by using a very simple example.

VIDEO CHAPTERS
00:00 Intro
00:14 Definition of variance
00:28 How to calculate variance (example)
03:19 Calculating standard deviation from variance
03:54 Plotting the standard deviation
04:36 Variance for sample vs population
05:34 Summary

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[hitmanLis]

super clear. to the point. no excess details! just perfect pace, flow, and details, wow!

[StuffOffYouStuff]

absolutely brilliant! The simplest and clearest explanation yet, without starting with the equations too which just confuses people! You're a genius! Thanks

[Borg]

Awesome!
This video is perfect on each level.

You speak loud and clear,
Explanation are perfect,
The video devided to topics.

Thank you for your effort!

[SharedDestiny]

Thanks a lot. You are a great teacher sir. So easy to understand. Do keep sharing. You are helping people at large and contributing to their success.

[RachelLovelace]

Question: Why variance? I understand why Standard Deviation, but how does using variance clarify our data for interpretation? Thank you for the great video.

[desertezz]

One of the best explanations of variance I've ever seen.

[jakesparrow]

Finally a video answering my question in a straight forward manor. What I'd struggled to get a clear explaination on was both interpreting the variance/St dev as well as what there significance was relative to the average.

[conornoble]

These are great videos you're doing here. I just started an online statistics course and your explanations have been helping out a lot! Thanks!

[lettuce]

Thank you so much! I have a machine learning and artificial intelligence module in university and I did not take focus on maths as one of my modules before university so I was really confused when I first encountered it. This helped me understand it a lot and you talk very clearly and concisely.

[trolltoll]

Thank you for making a video that was so easy to understand that i was able to watch while trimming my armpit hair

[CheesecakeYearsAgo]

Good explanation

Would be better if you could include maybe 3 to 5 examples so we have a better sense of how it works

[chocoberry]

i wanna say thank you so much that im crying because now i really know what variance and standar deviation is😭😭😭✨✨✨ your explanation is everything! this helps me a lott!

[fridaa.l.]

Thank you very much, with your videos I have been able not just to understand, but also to love more statistics.
:) Greetings from Mexico.

[stephenscott]

This was so clear. Super helpful. Thank you!

[Mr.E]

Thank you 🙏 you explained it a thousand standard deviations better than my professor. You're a life saver!

[ZainYMijbil]

Cheers. It is very helpful (simple, neat, and elegant)

[nurmohammad]

Well explained. I am working on spatial analysis of variance of climate datasets, this video helped me to clearly understand what variance is and where to apply!

[stingwray]

Essentially variance’s only use is to calculate standard deviation, which is actually helpful to interpret data 😂

[OnerousEthic]

That is one definition of The Variance; here is mine: it is the rule by which one dimensional scalar data is converted to two dimensional data to map one dimensional (linear) data into two dimensional (probability) space. It is based upon geometry and Pythagorean Theorem. Does that make sense?

Here is another definition: it is a square in imaginary space, the area of which is the sum the areas of all the individual variances, and it is a two dimensional probability space. We calculated it was integration.

We can reduce the space from two dimensions into one by taking the square root of that scaler. That is the standard deviation. The standard deviation is the square root of the variance.

2:48: 28.4 is the radius of the circle in the space that was constructed from the data. It is the hypotenuse of a triangle that was constructed by adding the “Areas of Deviance” from the data points.
3:00 Because the Variance is the hypotenuse of a triangle that was constructed from the products of right triangles, we may use The Pythagorean Theorum to calculate its length by finding the square root.

YW! Upvotes please!

[jackfrancis]

Hello. Great video. I am curious what benefit using variance has over standard deviation. In what situation would I use variance instead? Thank you