Measures of Variability (Range, Standard Deviation, Variance)

In this video, we'll learn about five different measures of variability: range, sample standard deviation, sample variance, population standard deviation, and population variance. We'll begin to see a few formulas for these measures of variability, which we'll get some practice with in the next video.

[ranigunawanti]

I've watched many videos, and attended many statistics lectures, this is the first time I truely understand what variance and standard deviation are. Thanks a lot.

[Hardy_Productions]

It blows my mind that such excellent information is freely available and yet it gets 1/1000th of the views. Thanks for the refresher!

[sbgrisham]

I agree with Rani Gunawanti. There are so many videos to teach you how to calculate, but there are not many videos that help explain the concept behind it so that you can understand. You did a great job. Thank you!

[itsreallysimple]

What separates your video from all the others is that you answer the question Why Is This Useful? Thank you so much for this video.

[catirerubio]

I had to watch the video multiples of many times to get it, but it finally kicked in. It is difficult because most of us will never use it in everyday life, but researchers, engineers and chemists will.

[seshna]

youre the best. im doing a math bridging course in university, and i was completely lost until i found your explanations on standard deviation and variance. thank you so much

[moony]

I have a stats exam on monday we had an entire week of lectures on this topic and you just explained it better in under 10 minutes THANK YOU

[DrArtorias]

I'm taking an Intro to Econometrics course, and your Stats videos have been a lifesaver for statistics core review. Really appreciate it!

[pokua]

as soon as I got into the video I saw the other side of mathematics apart from the formulae . Very good explanation

[shiuanchangtan]

I learnt statistics before, I was really confused then. I found your videos 2 years later, and now I'm clear about what I'd been learning! Thank you!

[ninjauserninja]

We need more teachers like you. Very few explain the concept like this.

[dhirajbarot]

I REALLY DON'T WANT TO SOUND OVERWHELMED but this was the most simple and easy tutorial I loved, it made so much sense and it felt so interesting. Can't even realize how fast it ended wanted more of it at the end. Loved this keep teaching 📙

[alexandrinamehandzhiyska]

Thanks so much for actually explaining WHY we need these measures and providing examples with real-life applications! Unfortunately, most teachers just throw some formulas at you and require that you learn them. However, this leads to a very shallow understanding of the topics and only teaches you how to memorize formulas/rules. So grateful for the videos you make! Keep it up!

[yasminhoseini]

very easy to understand. You give very interesting examples which makes the whole concept easy to understand.

[abhasharma]

The best video, I have watched on why standard Deviation is important to calculate. Thanks for this. Please explain other statistical terms in the same manner.

[pennym]

Thank you! This was very helpful for a project I'm working on. You have a calming voice and you break things down in a manner that is very understandable. Also, love your handwriting!

[kjb]

Thank you so much! This Stay-at-Home mom is getting her MBA and the data analysis course is super challenging for me. You made it very simple. Awesome.

[dsd]

Thanks so much Dr. Daniel. You are my hero.

[emilysansone]

You do us all a great service... thank you!!

[Sophiequirk]

I'm taking a summer probability and statistics for engineers course, and your videos are helping a bunch. Thank you for sharing!