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

[@conornoble6205]

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!

[@jakesparrow5716]

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.

[@Borg8]

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.

[@nurmohammad2979]

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!

[@desertezz]

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

[@stephenscott5044]

This was so clear. Super helpful. Thank you!

[@Mr.E6969]

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

[@lettuce8897]

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.

[@ZainYMijbil]

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

[@chocoberry434]

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!

[@Non-Existent03]

Thank you. I understand so well the concept.

[@Mel-nc3yo]

Very well explained. Finally understand!

[@alishamichelle166]

Thank you! I understood every word!

[@Unknowing0011]

Thanks for the very clear explanation.

[@trolltoll440]

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

[@katalinbrigittapetho4982]

Thank you so much for this video! It is just perfect!

[@gdm_music]

love these kind of tutorials

[@aleksandrapopov1676]

Super cool explanation !!!! Thank you!

[@absentbydefault]

Simple and clean, thanks

[@financenanchahal8801]

Amazingly explained.....

[@thedataprofs3867]

Clear and concise, great video!

[@StevenBradburn]

Thanks for the feedback

[@aproxymatt]

Massively helpful thank you

[@fridaa.l.2191]

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

[@StevenBradburn]

Excellent! Thanks for the feedback Frida

[@jackfrancis4528]

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

[@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.

[@nielsnaser4793]

i have the same question, i cant find it anywhere on the internet

[@tahaanouar2453]

You're right I've been searching for an explanation to this without finding a clear answer, I only found out that the Mean Absolute Deviation is more inituitive measurement of spread for me...

[@nielsnaser4793]

@@tahaanouar2453 ive found the answer, variance is needed because further in statistics the variance should be the same between multiple variables. (variables that you set up against eachother) if one variance is bigger then the other your fucked. So for now remember that this is something for example a anova test.

[@user-im8ei6lq2o]

Awesome video thanks for the video, dear! 😎

[@AliMateen]

Concise and complete

[@sas.nimastig8118]

My guy did something in 5 mins that my uni teacher couldn't do in 3 months🤣❤

[@Ms.Hanaaa_Hammam_English]

incredible, thanks a lot

[@marcao121]

thanks and well explained

[@Cheesecake99YearsAgo]

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

[@stingwray6404]

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

[@kingler199]

HAHAHA THIS IS THE CONCLUSION THAT I HAVE ARRIVED TO

[@RachelLovelace]

Right?!

[@shimasfaris2917]

Literally 😂

[@borabozdogan1998]

You're right but it's a little more complicated than that. The variances of independent variables can be add up, but the standart deviations can't (because when we take the root of each variance individually and then sum them up we get a biased result) Also the variance has plenty of mathematical uses, which the standart deviation can't achieve. Hope this helped

[@jacobstrength3945]

It’s also used when determining standard error, which is used for determining margins of error.

[@vindyakelum90]

Awesome nicely explained ❤❤

[@thegreenlandshark6086]

Thanks awesome explnantion

[@user-gz2yn9zr2y]

thats great... thanks.

[@riyamary07]

Thank you ❤

[@evelyntromp789]

Amazing!!!!

[@jaimedpcaus1]

Just awesome!

[@edwindsouza7157]

nicely explained

[@e.s298]

Thanks,so clear(:

[@FrankT860]

Really good video. One question. When can we say that the variance is low or high? is there any kind of global value to refer to the data when the variance is low or high? Really good video.

[@osnatcsillag8596]

thank you!!!

[@salimmayan9646]

Thank you

[@user-gc9vr4rv3p]

Tq sir very good explanation

[@fathoniam8997]

wow, super clear.

[@richpeacock]

excellent

[@couragee1]

thank you

[@user-ig2ej6gw8n]

Thanks

[@muhammadomarkhayyamkhan3593]

Whey we need variance and where do we use ? Please explain. It was good explanation.

[@alihayati7]

First of all, great video. Second, can u please explain why we get ZERO if we don't square. Thanks 😊

[@sandorattilapabar6773]

Finally! Statistic basics, where I doesn't fall asleep.

[@ekramulhaque]

great video

[@sindre5988]

So fucking good, never stop

[@daphnepolemi6557]

THANK YOU!

[@StevenBradburn]

Very welcome

[@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!

[@Sam-vz8gn]

How would to represent variance using a two dimensional graph & what would it represent? How would it be different from that of Standard deviation?

[@OnerousEthic]

@@Sam-vz8gn I made a mistake! It is the standard deviation that is the hypotenuse: The standard deviation is the square root of the variance! I am in the process of re-writing my post until further notice…

[@user-wt2by1xt7z]

Tnx

[@johnvincentraj]

What is the value of Standard Deviation were the observations are the lengths in days of the 12 different months in a leap year ?

[@annamelody5724]

Hi, i have a line of data which consists of these numbers {4, 3, 5, 6 ,4, 5, 7,6,5,4} and i have Mean = 4,9 and the variance of 1.4333. My question is, is this variance considered high or low ?

[@joymia2109]

Very well expained

[@StevenBradburn]

Thanks :)

[@joymia2109]

@@StevenBradburn no, Thank you.

[@furkananlar6794]

king

[@donnetteblake5108]

Is there a easier way to find the variance

[@mtuncrr]

I don't know how many ways there are to calculate the variance but I calculate it by (EX^2-(EX)^2/N)/N

[@donnetteblake5108]

Is there a easier way to get 5he variance

[@bigsassyster]

If I pull a card to try for the ace of spades (1/52 chance) and I win $500 each time I do, and $0 all the other times, how do I calculate the variance? each pull would be 1/52 (not 1/52 then 1/51 then 1/50...)

[@user-lm2oe9wi5h]

Are the data points really obtainted from a sample population ? Why did he consider all the data sets in that case?

[@josephdlastrilla]

Supposed to be divided by 6?

[@gonzalomunozg]

The “n” of the population variance should be “N”

[@santisav2]

But why n-1.

[@subhadipmondal4555]

This type of explanation, I called them " BULLSEYE EXPLANATION " !!

[@im-Anarchy]

please tell couldn't we have just taken sum of absolute values rather squaring them

[@Mobliephone]

I don't understand one thing .......why should we square the values that we have subtracted from mean.........I am tense about this question

[@harisudhan8481]

If you don't square, the sum would be zero. To avoid that we square and add them

[@Mobliephone]

@@harisudhan8481 Yeah your right....!

[@Mobliephone]

@@harisudhan8481 But can't we take values as it is!!??

[@yiguy5ed6ugh8h7]

Variance ---> SD ---> SE Welcome

[@Gascoigne1]

Jay Pillai gang

[@seb1452]

hej

[@RubenJoseph-dk3wx]

I'd not understand about standard variance

[@sahnounhbib9028]

Why 6-1

[@mtuncrr]

sample variance = n-1, population variance = n

[@egemenbags5465]

You did nothing explained for whole of the video

[@Franckzzz]

I think it’s maybe because your English is not good enough to comprehend what he is teaching.

[@egemenbags5465]

@@Franckzzznah my english is pretty enough to understand these type of videos but in the video he explained nothing he just showed us how variance is calculated. This is not an explanation of what variance is.

[@minecraftrtx2894]

Thank you

[@aniruddhakumar6]

thank you