n vs n-1. Why are there 2 formulas for the standard deviation?

I hope to help you understand why there are 2 formulas for the SD. They are bith trying to do the same thing..

[@SamirMishra6174]

the passion that you have, makes me want to learn

[@tumsum6945]

Holy shit this guys enthusiasm is infectious. The world needs more teachers like this guy.

[@jolyoncaplin747]

This is brilliant... answering a question I had never had properly explained for years. Cheerful examples are the best way :)

[@kevinseeam4849]

I have never seen such a better teacher in my whole life

[@sharanjhaveri6324]

Dude, Youre a legend . This was by far the best explanation of this nitty gritty concept Ive seen. You rock man.

[@altairjb]

I had to check when you posted the last video, because I didn't remember when I watched one of your videos the last time. No longer taking stats but it's impossible not to watch. You are simply awesome explaining this stuff.

[@oddshi]

Joel Batista exact same thing as me

[@oxalategaming3379]

Joel Batista haha same here I still watch this guy even after finishing the course

[@TripleIProductions]

same

[@mehtubbhai9709]

Wish I had you as my statistics teacher in school. Like so many others here have commented, you provided a very intuitive answer to something I have been wondering abt for a long long time. Thx Mr. Nystrom and please keep more maths videos coming!👍👍

[@erazor20001]

The clearest way to explain this! Well done Sir!

[@excitedaboutlearning1639]

The reason you're so good at teaching is because you're focused on interaction, understanding and thinking: Instead of writing the answer right away, you ask us, the viewers, to think. Then you explain why we're thinking, and at the end, we understand. Thank you very much.

[@bernardo013]

I'd love to see an in-depth video on degrees of freedom. Happy to have you back!

[@mattkriese7170]

This was awesome. Started an intro course for pob/stats two weeks ago and this was exactly what I needed. Love the energy!

[@dheeraj3945]

This is the best video that was able to explain why n-1 in sample SD makes sense by far

[@stuarnott]

Man, that got me over a huge mental block! You're the first person to explain that in a way I understood. Thank you so much!!!

[@samsschool3639]

Dude that saved my grades way back in the day is back!! Lots of love man!

[@MrGlewYouTubeChangedMyHandle]

Mate. You are my hero. If mathematics was taught mainstream the way you teach it, we would have colonised the galaxy by now.

[@MrGlewYouTubeChangedMyHandle]

I'm not even taking the piss.

[@danyvarlet7843]

Thanks man! Great video again. I would love also to have an in depth explanation on the degrees of freedom. An explanation between the normal distribution and the Chebyshev distribution would be great too! Thanks again !

[@janetguevara1045]

I am helping my son with this, and I found you...❤❤❤❤❤ it's like watch Steve Irwin talk about crocs or better yet, watching Steve on Blues Clues!!! Thank you for all your energy!!!

[@alishaokeeffe7574]

You are such a great teacher! I just asked this exact question on your other video explaining standard deviation whoops! Really appreciate the way you break things down and explain why everything is the way it is in the formulas. Great teaching style and personality:)

[@vishnukrishna8407]

One of the best explanations out there. Crystal clear. Good job buddy.

[@BeeHappyBec]

Thank you so much! My stats lecturer glossed over this and I've been worried all week... looks like I'll be following your channel all throughout university!

[@edwardparsons1927]

Thanks for the short class on N-1. You are the first one to make it make sense!

[@ideas11]

You are freaking amazing . For several years I had this question and now i am so so so happy . You are freaking genius dude.

[@redglasses4502]

I've watched a few different teachers on KZbin but I leave still feeling confused, your really good at explaining! Thank you! Keep doing what your doing!

[@hyperegg2363]

I am straight up addicted to your videos. Your amazing at explaining this stuff!

[@imad_uddin]

SUCH A WELL THOUGHT OUT EXPLANATION. I came here after watching: Statquest: where he explains this n-1 thing using derivative of variance formula Dave Your Tutor: who explains using degrees of freedom Knan Academy: where Sal explains this using a simulation. Your video summed it all up so well...

[@sasankadowarah3323]

This is the best video I have found that explains the n vs n-1.

[@joshTjensen]

I just started my stats class, but I don't even bother with the textbook because you explain things so much better!

[@amysaya6566]

Thank you!!! You just maybe my savior to getting through Prob and Stats this semester!

[@jhsoup4393]

you are the goat man, your explanation was soo frikin clear it will stay in my memory forever

[@truckersagainsttrafficking7550]

Your awesome man. Keep up the good work. I do have a suggestion Keep letting loose & be yourself. Your passion & love of statistics is infectious. Hold nothing back, the craziervypu are, the more memorable

[@mikehenry2742]

Good God...you are a math angel...that shit has puzzled the docket s outta me for too long......may peace and prosperity be upon your children's children ...thank you my brother..

[@kavitakulkarni9584]

Perfect , brilliant .This helped to find why n-1 not n-2 with your example of proportion of 5/5 ,10/10 and so on. Thanks a lot.

[@vrushalibhise7375]

I got this video recommended on Google and thought it would be absolutely unjust if I didn't hit the like button! Because this video is just sooo perfect! On point!! 👍👍

[@user-zf1op6ru9f]

This is such a good and logical explanation I have ever heard about n-1 denominator. I love the way you teach.

[@lexparsimoniae2107]

Yes sir, that made perfect sense! Thank you for your continuous effort to spread good education.

[@ricardoortizpozo]

Just awesome, you just explained exactly what I needed. Currently, I am facing several problems trying to know which formula to use for different statistical parameters. You just helped me understand one of them, thank you very much.

[@cesar.vasconcelos]

Glad you're back!

[@utkarshpandita4645]

This thing was messing with my brain for 1 week. After one day of crying and scratching my head i found your video Thank You

[@arvindag]

Mr Nystrom , You are a legend!, Your videos helped me to clear my Machine learning exam, Please do continue posting the videos.

[@robynimc9527]

You make stats understandable and fun. Thank you!

[@VanessaKlinger]

You need to have all of your videos aired in every school in the world! I am 50 years old and I took statistics and earned an A from watching you and other videos.. Mainly yours... It just makes sense when you teach it. I applaud you!!!! #teacherofthecentury!!!1

[@pratiknbagaria]

Finally I understood the reason for n-1!! I got so irritated everytime I used n-1 without understanding the reason. Thanks for the simple and lively video.

[@kamemugg1280]

Hello and thanks from Michigan! Your passion is infectious.

[@chc159]

Thx! It`s really vivid and clear explaination. I`d like to add on why n-1. Since it can be n+1. quote from wikipedia "In statistics, Bessel's correction is the use of n − 1 instead of n in the formula for the sample variance and sample standard deviation, where n is the number of observations in a sample. This method corrects the bias in the estimation of the population variance. It also partially corrects the bias in the estimation of the population standard deviation. However, the correction often increases the mean squared error in these estimations. This technique is named after Friedrich Bessel. "

[@goncaloveiga]

Damn you're the best! That fraction example to explain how to correct for the bias is awesome.

[@krzysztoflechowski5745]

You are absolute genius explaining these things.

[@QuadirAliblaize]

this makes me enjoy learning stats more and always an inspiration to watch you teach and spread the knowledge.

[@doyowan]

Thank you sir, that made lots of sense and finally explains it for me. I'm not even studying stats or maths but just enjoy the topic and your videos are very clear and fun to watch. Keep it up!

[@ivandeetlefs]

Brilliant explanation for someone who needs deeper understanding!!! And entertaining :)

[@dammydas4350]

My professor explained it to me and it went right over - this video made complete sense. I can now explain this to anybody.

[@trucksd1]

You'r videos helped me pass my Stat class, i am grateful.

[@jiwonshin6434]

This video is amazing!! I have my Algebra 2 quiz tomorrow and this is answering all of my questions!!! I love it!

[@workingstiff19]

Mr. Nystrom, YES it did make a TON of sense! I am re-learning statistics on my own. My book (by John Freund) explains what the sample standard deviation is for but doesn't go into all the detail that you do here. (1) The purpose of the sample is to get an unbiased picture of the population, and (2) the bigger the sample, the lesser the correction. BEAUTIFUL! Thank you!

[@ZeroTwoTwoFive]

MrNystrom your lessons are amazing, explanations are intuitive. Keep up the good work. Also looking forward to your new videos.

[@SuperShotia]

Now I find hope again and I think I'll pass my stats course this year for sure. Thank you. 👏🏻👏🏻👏🏻 Universities should not be accepting any less professors than you, for real:))

[@FalconFlyer75]

why aren't your my statistics professor, you may be the first one that actually taught me something

[@MG-ks5pt]

wooow you are an amazing teacher....with great teaching skills.... I completely understand the whole concept

[@soundgoesdown]

They should introduce a Nobel Prize for Passion. You'll be the first winner. Bravo! 👏🏻

[@michaelwood2292]

I'll be 59 this year (2017)... and I'm still learning through your videos. Than you sir.

[@biplabroy1406]

After seeing around 5-6 videos, finally I understood here. Thank you.

[@user-lm3wn5ux3s]

Thank you so much for making this video, It is so helpful I wish I had educators like you

[@senorastevens1023]

Very helpful explanation and very clearly put. Thanks!

[@Ropeka]

Its easy to understand your explanation. Good work

[@noelnewlon]

Brilliant, simply brilliant. Can't be overstated.

[@benjaminferland4251]

Thank you for your time and effort on these, I am using them!

[@thosu1461]

As in your other vids you explain it so one can really get the idea behind the thing. Awesome teacher! and fun to watch :)

[@sarthakgarg35]

The best 12 minutes of my life so far ❤️❤️ thanks a ton for the amazing explanation

[@MugenTJ]

Finally, I understood this. My fault for never asking, but I'm equally shock none of my professors explained this.

[@amyyu3072]

You are amazing!!! I hope our professor would have had half of your teaching skill.

[@numericalmethodsguy]

Another way to look at is as follows. Does calculating the standard deviation of a sample with n=1 make sense? Also when one is calculating s, one uses xbar. So if you have n values, and you know (n-1) values and the average of n values, your nth value is not independent anymore.

[@syedirshaan3005]

I like the way you explain with pretty cool nature cracking jokes. You made stat not only easy but also funny. Thanks a lot

[@hanadiam8910]

I can’t wait to see all your playlists

[@thecraftywitch510]

Thanks this was just great. Not having a math background at all....and sitting exam next week for social science freaked me out....have to say you done more in these lessons than the lecturer done in 4 weeks! Blessings from Scotland.

[@vbbarnes16]

Great clarity in this presentation for standard deviation.

[@Skitles125]

The best teacher at BHS hands down

[@ziqiguo9758]

This is a totally excellent video!!!! I love you sooooo much dear mr Nystrom !

[@PunkerNinetySix]

He's back! The legend returns!

[@Alex-fk3ni]

Never thought Aston Kutcher is so smart!!! Thank you!

[@dhruvenkalpeshkumarparvati4874]

Finallly i understood after watching so many videos !!!!!!!!! THANKSSS

[@midwestchau]

Wow! Crystal clear explanation.

[@raghavnandyal]

Fantastic explanation! I enjoyed it very much.

[@jacques8290]

Brilliant explanation, thanks man!

[@axelportebois1675]

So if in a TP of chemistry I measure the PH of my solution 6 times and I do a mean, must I use the Bessel correction to calculate the standard deviation? I mean, have I a sample in this case, or a population?

[@alijabori7942]

great explanation! really allows for an intuitive understanding

[@remyalatis2265]

Beautiful explanation....Thank you so much

[@fsetor1]

Excellent. I wish I saw this 35 years ago.

[@ankushthakare9748]

On spot.... keep it up💥💥💥💥💥💥

[@SOBIESKI_freedom]

Good stuff, buddy. Learning a lot from you. 😃

[@sabitedward]

You are great. Enjoyed your explanation

[@benschamberger8933]

Awesome explanation!

[@JaqulinePrabu76]

Excellent description....thanks 👍🏽

[@jr07toujoursj]

YOU ARE AMAZING!!! When I first found the video I thought there's no way Imma spend 12 minutes to find out why I came across two formulas for the standard deviation. Yet here I am more excited than ever about stats! thanks so much! And btw, could your or anybody reading these comments tell me the difference between the standard error and the standard deviation of the sample? Thanks a lot!

[@penelope9788]

you are one of my top 5 favourite people of all time. i wish you'd make more videos on stats :)

[@linnmacdonald2246]

Thank you, Mr. Nystrom!

[@nonamenoname1942]

Thank you, good lively explanation!

[@abdullahfaizurrahman6486]

This is such a good video, thanks man

[@nguyenthanhnhon2723]

Thanks for your video! It help me a lot.

[@BobBeatski71]

That was a bloody good description. :)

[@elenemasterovoy4740]

I love you videos and way you explain ! Thank you a lot!

[@paulmcinerney6245]

love this presentation....at 10:46 you want to square those deviations from the mean :) .... great teaching!