Standard deviation (simply explained)

[@datatab]

Sorry, in the example the standard deviation is of course 11.50 and not 12.06!!!! If you like, please find our e-Book here: datatab.net/statistics-book 😎

[@andym1672]

How did you get 11.50 please?

[@ajsanpedro]

@@andym1672 if you use /n-1, you will get 11.5, but if you use /n, you will get 12.6. Because it's a sample size, you use /n-1

[@zehraseraparici974]

@@ajsanpedro If we use 6, the result is 11.5. Thank you!

[@Kripalu_das]

The way you say "Standard Deviation" is so cute

[@orca_ball]

I was calculating again and again and getting the 11.5036 but you keep telling 12.06 that was really frustrating. but thank god I checked the comments

[@user-rd3jw7pv7i]

Thank you random german woman on the internet. You don't understand how much this help me to go through my finals 😭 God bless you :)

[@datatab]

Many thanks for your Feedback! Actually I am from Austria : ) Regards, Hannah

[@muhammadomarkhayyamkhan3593]

Very well explained

[@thatwhit1]

There was a time when Austria was within the standard deviation of Southern Germany!

[@rasheedrahman1635]

😅

[@Peter-df2ip]

😂

[@norencezyron.bedasua]

I don't understand why anyone would height this video. That was very clearly explained. Thanks!

[@CarysHighum]

LMAO

[@mariallejandra]

AHAHAHHAHAHAHAHA

[@deez7101]

BRUH

[@micikas]

you rascal :D

[@nealh.6454]

took me a second ... almost died laughing!

[@magiciansway]

Many thanks. I am 62 and this is the first time I have a clear understanding of standard deviation. I also feel happy hearing you happy demeanor. Thanks.

[@bhadranandannarayanan5577]

True. You said it. 👏

[@WilliamAlanPhoto]

It's a bold social experiment to calculate the standard deviation of hate. I salute you.

[@datatab]

Yes a little embarrassing, but you never stop learning : )

[@alexpower9423]

Hate is a mean value

[@speedomars]

Never forget, the results of ANY calculation depends on the quality and quantity of the data. In regard to hate, it is impossible to measure, impossible to determine and impossible to calculate because hate cannot be quantized.

[@alexstickney156]

Hoe many languages do you speak?

[@phychemnerd]

​@@datatabThat Austrian accent is actually adorable 🥰. Great explanation of the concepts as well!

[@johnieday5186]

As a psychology student I'm a bit dense when it comes to numbers and I need to know them. This really helped me keep up the good work and thank you!

[@datatab]

Many thanks : ) Regards Hannah

[@neisovo8177]

same! I was just watching a talk about autism and whenever the speaker mentioned standard deviation I didn't know what he meant, this was so helpful

[@purplecrayon7281]

if you are majoring in any science or business field in an American university, you will be required to take a introductory Statistic course in your freshman year.

[@johnieday5186]

@@purplecrayon7281 I’m in the UK but yes we have to study it

[@AR-tx4ho]

Do you have any interest in research methodology and psychoanalysis?

[@lauramandea348]

I have a statistic test in a couple days and this video explained everything that i didn't understand in a month in just 7 minutes. thank you from Italy

[@Potencyfunction]

It is 10 grade subject in "Math for 10 class/year " Is under section "ungrrouped obsevations" chapter. There you start learning "Average function" and "Median function ", Boxplots, Outliers and next statistic is the "grouped observations" where you learn calculating the "hyppighed" ( the most meated observations on the set " and the "frequency" on the bar chart . ( y axis ) . There you already got a fundament for buliding the continous learning goal, if you are planing to make vertical learning and obtain a crazy certificate of math or datalogist.😈

[@quincyhochard]

Perfectly explained - clear and to the point! Thank you for addressing my internal question that standard deviation, as an "average", is more than just the mean!

[@nizar4876]

You have explained very clearly and slowly to make understand us! Thank you a lot! 👍

[@kimbott4963]

Love how simple and straightforward this video is. I'd love if it included why we use the n-1 in a sample case. I realize that would add significantly to the length of the video but it's conceptually pretty cool and a useful thing for more people to think about.

[@halfsourlizard9319]

Would have at least been useful to have mentioned the name 'Bessel's Correction' in case anybody wanted to read further.

[@LalitKumar-nj7xc]

Clarity and pace of your voice is making it very easy to understand.

[@datatab]

Thanks : )

[@tarunaggarwal2511]

one of the best-detailed example, I have ever seen....i dint think I will ever forget this

[@datatab]

Many many thanks!!!!! Regards, Hannah

[@t0chen06]

This is the first time I ever understand the concept of standard deviation and its purpose. Thank you so much for this helpful content!

[@lauterunvollkommenheit4344]

0:40 "Let's say you measure the hate of a small group of people" - I've done it many times, mostly by accident.

[@robindhood9125]

I kept hearing “hate” every time she said height; thankfully there were visuals. Great video and explanation, now I’m off to get my hearing checked.

[@motivatedguy387]

It's her accent not your hearing. Felt same fffs

[@SprakanaKerum]

They measure hate 😂

[@gammingrage9358]

@@SprakanaKerum haha same, fr I also thought measuring hate, Lmao

[@wildberrygarden]

Me too I thought she was trying to be quirky or something.😂

[@musicsang4882]

Ma'am I pray to God that you live long and achieve whatever is best in your life. You are such a knowledgeable person who help us a lot. Thanks a lot. A big salute to you.

[@75blackviking]

Hands down the best and most succinct explanation of std dev I've ever seen.

[@vishnumoorthy8859]

Such a simple explanation. Love it when people who knows stuff explain things.

[@ajitandyokothakur7191]

There were two things you should mention in your tutorial: 1. Standard deviation is +/- because you are taking the square root of the variance. 2. You should explain why n-1 i.e. the concept of degrees of freedom. Since you calculate the mean from the sample, you lost one degree of freedom thus n-1, instead of n. For large sample size (30 or so),the difference between the two is minimal. Dr. Ajit Thakur (USA)

[@ianchikopela1003]

Ma'am, you are awesome. The simplicity exeh! Usually people come to KZbin when in dire need of simple, straightforward, i-am-dumb step-by-step explanations. And you, you just did that. You just provided that. YOU AWESOME!

[@datatab]

Thank you so much 🙂

[@lxathu]

Thank you, but... something always bothered me with SD but I never dared/could ask. I see that we square the differences so that they don't cancel out each other but actually we wouldn't have to: summing the absolute values of the differences would work just as well. From other sources, I understood that squaring distorts, enlarges big differences from the average which is good but there's no explanation why. Why can't we examine the differences from the mean just the way they naturally are, by averaging their absolute values instead of squaring them and square rooting after summing? If I got some explanation for this, probably 30 yrs of mist in stats would disappear.

[@piotrkrajewski9059]

This is exactly what occurred to me after watching, please elaborate on that dear author.

[@marcusaureliusf]

Me too. I know the "what" but they rarely explain the "why", i.e. why do we square things, why do we divide by n-1 (how does it help anything?), why we need both variance and standard deviation if both are so similar, etc. why?

[@Flexpicker]

One of the problems with taking the "absolute deviation", which is what you have described and is a possible means of looking at the deviation, is that it is not differentiable at zero. When you take the standard deviation, it results in a smooth curve. Another factor is that the standard deviation more closely represents the Gaussian distribution, which is one of the more common types of distributions due to the Central Limit Theorem. My hypothesis is that the absolute deviation would be better for a uniform distribution, but someone more knowledgeable should correct me if I am wrong.

[@doctor_gee]

The standard deviation method gives a useful insight into how much the data varies, more so than just summing the differences and dividing by the number of samples gives. Take this really simple example. 5 people with heights of 160 154 155 156 150cm The mean is 155cm If we simply take the average of the absolute difference from the mean we get 2.4cm This sounds fine at first, but look at the total range of the values, it's 10cm, so is 2.4cm a useful metric of the data? The standard deviation of the same data set is ~7.2cm, much more realistically representing the core set of data in the "range", as hinted at by @Flexpicker below. I'm not sold on how useful the "variance" is though! The squaring and then square rooting helps to make it into an easy formula and removes the negative values created by choosing which order to subtract the values in said formula. The same method is used to measure AC Voltage, the mean would always be zero, so we take the RMS (root of the mean of the squares) which gives a useful metric of any data set that includes both positive and negative values. Hope that helps someone.

[@Flexpicker]

@@KT-dj4iy Wow! That is quite a lot of detailed information, which I appreciate. Thanks for all of your work on this topic. It is very helpful.

[@OrenLikes]

"height" is pronounced "hah-eeh-t" (like "hail" in German, but with "t" at the end...), not "heh-eeh-t" which sounds like "hate"...

[@claudiacuevasgomez285]

No one cares how she pronounces

[@OrenLikes]

@@claudiacuevasgomez285 brain rejected you when you went for a brain implant? **I** care and so do at least **4** other people who gave my comment a "thumb-up". Go troll someone else!

[@2k7Bertram]

No one cares...as long as the intended message is received

[@OrenLikes]

@@2k7Bertram i care. obviously... i don't care what you say, though... and it was meant as a constructive criticism, unlike you that just want to be seen... bye, troll!

[@mediaphile]

OP wasn't rude, it's just a correction. It's important to be as clear as possible. She's speaking English, so pronouncing words in English is ideal. I was confused at first, but figured it out because of the graphics. But without the graphics, it would have been much more confusing.

[@piotrrybka318]

Nice video, but what is missing are answers to the following questions: Why in standard deviation we use quadratic mean instead of absolute value and arithmetic mean. What is the advantage of using quadratic mean? And why quadratic and not cubic? Or fourth power? Tenth power would also look nice and could be easier to remember. You say that it would be always zero, but that is not possible if absolute value was used. In your example the arithmetic mean of all height deviations is 10.(6). Why in standard deviation for a sample we exclude 1 value? And why only 1, and not 2, or 3, or 1.5? This does not seem too inclusive and equalitarian. And why excluding and not including? Excluding will distort the result value making the standard deviation seem greater that it would be if used the population formula. But it seems very arbitrary that the compensation for using a sample instead of the whole population would only be 1 value and only excluded, not included. Why the variance is 1 step behind of standard deviation? It could be considered as standard deviation squared, but the result would be the same. You correctly explained that standard deviation has the advantage of preserving the order of magnitute or the units. But what does variance mean? Preserving units means we can compare standard deviations measured for different samples, provided that the units, or more accurately, the thing we measure are really comparable. E.g. I can compare standard deviations of heights measured i USA and in UK. But does the variance allow for comparing, say, height and pay deviations? That would be cool and useful, but I guess squaring would not allow for it? If all that was explained, then and only then the standard deviation (and variance) would be really simple. Right now it is still a formula with some elements of it seemingly randomly assembled that can be only mindlessly memorized but not understand. For me keeping things simple does not mean expressing it in a simple language with even the best visuals. That is only half the job. But you also need to justify that every piece of information is logical and can be deduced without having to memorize it mindlessly. Then if you forget the formula or its part, you would be able to reconstruct it in full.

[@murilofernandes3492]

I also tried ti understand these points without success...😒

[@jdoesmath2065]

It’s about differentiability.

[@piotrrybka318]

@@jdoesmath2065 Thanks, but what exactly? I asked at least 3 questions, so it's rather difficult to match your answer. And if what you mean is taking the derivative, what does it have to do with anything? Why all of a suddent we need to take the derivative? I know it's fun, and for that reason we could as well do integration, but will it give us any practical information?

[@jdoesmath2065]

@@piotrrybka318 Sorry, I was referring to the question about the standard deviation and why we square the differences instead of using the absolute value. The squaring function is differentiable whereas the absolute value function is not. Behind the formulas we use in elementary statistics is a lot of calculus.

[@yogeshmahindrakar4496]

Short and sweet explanation. I'll never forget standard deviation, variance and its formula.

[@datatab]

Thanks!

[@bhadranandannarayanan5577]

Thanks for the simple but profound delivery of content that is understandable to anyone. Keep going. Congrats

[@vovk_oleg]

Please do not stop posting your videos. Very helpful. Other creators stopped.

[@gareth0000]

Thank you so much. I needed some rehresher on standard devaitation and have been watching more than 10 videos of standard deviation. This one’s the best, you have explained the practical application as well. It becomes so simple when you understand WHY and HOW we use it. I just flipped for a bit when you first said that that we or going to measure the standard deviation of “hate” of the people. 😂😂😂 then you started showing the height of the samples. Peace! English is also not my first language so I find it funny because I can totally relate.

[@datatab]

Oh thanks! I did not notice that : ) In the current situation hate would even fit : ( Regards Hannah

[@jgostling]

Excellent presentation, clear and concise. The only thing I miss is an explanation of WHY the standard deviation of a sample is divided over "n-1", as opposed to dividing over "n" as is the case for the whole population. This is something I've never quite understood.

[@DarkPrincess_M]

Have u understood?

[@FixGoogleHuawei]

Finally I'm able to actually understand this thing after years. Very well explained indeed! ❤

[@88spaces]

It really helps me to grasp topics when they are simply explained which you did. Thank you.

[@datatab]

Glad it was helpful!

[@NyanLinHtet-fi7ud]

As an online college student, I have some problems with this. This helps me to understand and thank you so much.

[@datatab]

Thanks!

[@jisancy5423]

3 weeks of my college in 7 minute Thank you very much

[@datatab]

Most welcome 😊 And thanks for the nice feedback : )

[@gulomjonsulaymonov5958]

before watching this video, I watched other 3 and I understood nothing, now I see this one and I understand everything just in 7 minutes, thank you huge

[@datatab]

Many thanks!

[@Dooshanche]

Such a simple explanation, thank you!

[@datatab]

You're welcome! Many thanks for your nice feedback! Regards, Hannah

[@haylie7931]

Thank you for your amazing videos! True help to the people who struggle with numbers, but need it in their professions. Greetings from Lithuania!

[@SD-un3ii]

Thank you very much for this simple explanation. I request you to please make similar type of video on Z Score and it's significance and comparison with Standard Deviation. Hoping to see this shortly.

[@ajitsharma7666]

A beautiful lady explaining conceptual topic beautifully... thankyou ❤....now I understood the concept

[@martinburgess8243]

Nice and easily explained, but I have used two methods for calculating the standard deviation (the above being one of them), and both come to 11.50 and not 12.06.

[@malkinethmini141]

Thankful for your clear explanation Crystal clear now ❤ Thank you again and again❤

[@farzadarafjamil411]

You just used the formula but did not explain how you derive the formula I.e. why the difference is squared and then taken the squarerooted

[@amolbadekar6925]

This is a very clear and easy explanation of standard deviation.thanks

[@itorres008]

😄You answered a question I've always had, but never looked into it. Why the heck do you square the deviations to find the mean and then take the root of that, which is not really the correct average? You said, "If the arithmetic mean would be used it would be zero everytime". Hadn't looked into that. Now this provokes a new question: Why then not just take the average of the absolute value of the deviations? That would prevent the always zero result.

[@datatab]

Many thanks for the nice feedback!!! I have just learned that there is a name for the metric you mentioned, it is called average absolute deviation. en.wikipedia.org/wiki/Average_absolute_deviation However, it seems that the standard deviation has become more accepted! Maybe also because of the variance, if the variance occurs in an equation, it is easier to continue calculating with it, it is easy to form the derivative and so on. Regards Hannah

[@RajendraPrasad-zc6kh]

Somewhere I read, it adds little more accuracy as the root of the squared mean will be little different from modulus mean.

[@auberonarlo3703]

The explanation is on point and easy to understand. Thank you DATAtab :)

[@datatab]

Many thanks for watching and for the feedback! Regards, Hannah and Mathias

[@thomasstevenrothmbamd2384]

This is excellent. Thanks for your help in educating our world about such important things.

[@mariateran9189]

I love you!!!! i procrastinated on doing some homework but after 3:20 minutes into your video, it all clicked! loved how well you explained this and your accent kept me engaged!

[@datatab]

Many thanks for your nice Feedback!!! Regards Hannah

[@Ghinan_Navsih]

This was really informative and easy to understand. You earned a subscriber today! Thank you

[@datatab]

Awesome, thank you!

[@subhasisghosh66]

Absolutely no idea why this showed up in my feed, but I am glad it did. Thank you for the succinct explanation.

[@mm0dk0ur]

I really want to thank you so much for your great videos and how you explain all concepts in a very clear, simple way. Thanks, please continue posting videos my dear German lady. Wish you all the best 🙏🙏

[@deeladils8428]

Thankyou so much, everything i wondered is covered here. I always ask why we use quadratic on variance and never thought if doesnt it will always return 0! I'm very new in statistic and videos with amazing details like this (and beginner friendly) is so rare.

[@datatab]

Happy to help : ) Regards Hannah

[@sidoniaachan1325]

Thank you for this , was stuck. Sending love from South Sudan,Africa !!

[@datatab]

You are so welcome!

[@ikm64]

Something to thank you for - an education... and that's exactly what I'll do...Thank you!

[@datatab]

Thank you so much : ) Regards Hannah

[@mhl1740]

Thank you! 1) You explained, which method (N vs N-1) I have to use in which situation. But I didn't understand, why. 2) when "standard deviation" means the "mean value of all deviations": why I have to square the differences?

[@dibinjoseph296]

Wow! So concise and clear. Visuals helped too. Thanks!!😊 Keep up the good work! Cheers!

[@joshuamcnab9605]

Thank you so much! I am a simpleton so this really helped me

[@datatab]

Thanks for your feedback!!! Regards Hannah

[@johnweir1217]

I think it is 11.5 not 12.06.

[@booksgirly]

Thank you loads for this video!! The really complicated formula in my text book looked like a rocket science 😭 I finally get it now

[@kennethhowell5291]

Thank you for the clarity as to standard deviation. You are the best!

[@datatab]

Happy to help!

[@Manasika]

You have explained very clearly and slowly. Such a simple explanation. Keep up the good work! Cheers! Thank you a lot!

[@maniaphobia4719]

I remember in 80’s my Maths teacher who was a terror ; We simply learnt out of fear ; This video makes learning damn easy

[@malhargawade5779]

Very well explained.....my teacher skipped the logic part and directly gave the formula to follow and i couldn't get it....this video helped me

[@kuyakambo2327]

New subscriber here from the Philippines. Thank you for your very clear explanation.

[@datatab]

Thanks : )

[@karlostj4683]

"Here's an example. Let's say you measure the hate of a small group of people."

[@M3e36-99]

1:00 This calculation is the Average. Not the Mean (in my world). The Mean is a line that divides an equal number of samples above and below the line. The Average does not always get you that. The Mean is more meaningful than an Average because your outliers will not skew what represents the middle. The reason why the Mean is less often used is it is computationally more intensive because the data has to be sorted.

[@RuslanVaskov]

Average is the same as arithmetic mean in statistics. What you call "mean" is median.

[@mohsengeorge]

excellent presentation in a very simple and digestible way. thank you

[@datatab]

Glad it was helpful!

[@skriesten]

Thank you for a clear and nice paced video. I have watched others on this subject and yours is the best by far. 👍

[@ademashyngyssova3582]

Thank you very much!!!! This channel really helps me to prepare for assignments!! Your explanation is really easy to understand. From 7 minutes video I learnt more than 6 weeks of my module! 😭❤️

[@luca2637]

You just helped me pass my finals🙏🙏

[@datatab]

Geate! Thanks for your feedback!

[@imoh5202]

Now I understand better. I think the illustrations made it easier. Thanks

[@datatab]

Great to hear!

[@cliveradvan3414]

If only this was explained as you did, when i was at school.... Very well presented. Thank you

[@davepickering997]

You explained in one video that took me years to understand to get a MSC.

[@vemundbrudevik99]

thanks i never understood standard divation before this

[@datatab]

Many thanks for your nice feedback!!! Regards Hannah

[@thehumbleone1936]

Amazing way of teaching! I love your explanations.

[@datatab]

Many thanks : ) Regards Hannah

[@bdpv025]

The only explanation on youtube I understand thank you

[@datatab]

Many thanks : )

[@florin-titusniculescu5871]

" let's say you measure the hate of a small group of people " 🤣

[@mosespeter9711]

I just came back to like this video, it's the best I've ever seen

[@datatab]

Many thanks!!!

[@DaveTung-y8h]

The video started out very well explaining the concept of standard deviation, however, it would’ve been nice to include why is this important. The next concepts, ie arithmetic mean, taking a sample, that raised more questions that was left unanswered. For example, why is it 1/n-1 when using a sample? Video got confusing from then on.

[@datatab]

Hi, thanks for you feedback!!!

[@VedantAdvait]

You said "hates" but I got that. You are correct if weight is pronounced as way-ate, then height should also be pronounced as hey-ate. This language issue has baffled us (Indians) too.

[@sarahserwar5909]

Exceptionally useful, thank you soooo much

[@datatab]

Glad it was helpful!

[@Rundtj45]

Thanks for your good explanation. It’s very very very excellent and easy to understand. Miss love ur explanations.

[@datatab]

So nice of you

[@aoulipa4165]

Omg, thank you very much. The explanation is clear and easy to understand.

[@datatab]

Glad it was helpful!

[@dami_wick]

Thank you madam for this great explanation. I tried to remember the formulas but failed. This explanation gave me a better idea about the standard deviation .

[@datatab]

Glad it was helpful!

[@jefferyguy7588]

2 Questions: 1. 3:57 If we are just worried about sum being 0, why don't we just absolutize the values? 2. 5:50 How minus 1 justifies this? Why not minus 2, 3, 4 or even divide them?

[@delliscool4924]

Thank you so so much, Please continue to post such interesting math lessons.

[@hydorah]

I didn't know hate was measured in centimetres 🙂

[@subhasisghosh66]

It is height. She is doing her best to speak in English. At least she is trying. Can you speak in German?

[@MrKhanain]

great way of teaching. Love this video

[@datatab]

Glad you liked it!

[@FalconFlyer75]

fantastic video, I was struggling a lot with it one thing I would suggest is visually showing how it would all add up to zero to hammer the point in and also i'm assuming that the reason we use squares is to deal with negative numbers?

[@AdityaKumar-ij5ok]

Your smile makes this look so easy. Thanks a lot!

[@datatab]

My pleasure 😊

[@godawgs4536]

This helped me a lot. My teacher is away getting married, and we got a paper on this. We've never done it before, so I was confused.

[@datatab]

Happy to help! Thanks for you nice feedback! Regards Hannah

[@antoniolopezgomez1188]

Finally I got to understand what the std deviation is! Great video

[@monireachtang712]

The explanation is very clear and easy to understand. Thank you for sharing 😉

[@datatab]

Many thanks!

[@pmpeepx]

Thank you for smooth teaching

[@datatab]

You are welcome! : )

[@mayerlysanchez1843]

This video really helped me to understand the concept of standard deviation. Specially the example. Thank you so much!🤗

[@jimjr4432]

Wow! I had statistics in 1967 at Penn State and it was way too intense for my intellect. You made this so understandable, thank you greatly.

[@yotamyyg]

If only I had this explanation in college statistics classes

[@datatab]

Many thanks for the nice Feedback! Regards Hannah

[@ecurb10]

Yea me too!

[@rajnish570]

Very well explained, finally understood why Standard Deviation is important. Thank you so much 🙏👌

[@datatab]

Happy to help

[@thefox1703]

Thank you for this excellent tutorial!

[@datatab]

Glad you enjoyed it and thanks for your feedback! Regards Hannah

[@Roberto-REME]

Great video and very well explained. Your narration was cogent and really well done. And.... you're beautiful. 😊

[@arbiantosetiawan]

Thank you for your explanation. Very very helpful!

[@SonaliSingh-mm6kz]

Simple and clear explanation.... Thank you❤

[@datatab]

Glad it was helpful! Thanks for your nice feedback! Regards Hannah

[@TheOnlyName]

Ohhh thank you so much, I was supposed to answer questions on this but was never actually taught it. Now it finally makes sense! Thanks :)

[@datatab]

Thanks for your nice feedback! Regards Hannah