Standard Deviation and Variance

What is the standard deviation? And what is the difference to the variance? The standard deviation is a measure that indicates how much data scatter around the mean! The standard deviation is the quadratic mean of the distance from the mean. The variance now is the squared standard deviation.

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00:00 What is the standard deviation?
00:12 Standard deviation example
01:46 Equation standard deviation
02:51 Arithmetic Mean vs. Quadratic Mean
03:26 1/n vs 1/(n-1) Different equations for the standard deviation
04:42 Difference Standard Deviation and Variance

[gopikrishnap]

You have not only explained the Standard Deviation calculation in an easier manner with an example but also answered the common questions about Arithmetic mean and Quadratic mean. Thank you for the great video.

[Grace-bzpx]

This is by far the simplest and clearest explanation I found thank you!

[margaritap.]

Thanks a lot for explaining it so clearly and slowly. Most videos go too fast and I have to pause all the time, but with you it was perfect!

[KB-ttzt]

Variance and standard deviation are both measures of how spread out a set of data points are, but they differ in how they express this spread.

Variance is like the average of how far each data point is from the mean (the average). It tells you how much the data points vary or spread out from the average. If the variance is large, it means the data points are spread out widely from the average. If it's small, the data points are closer to the average.

Standard deviation is simply the square root of the variance. It's essentially a measure of how much the data points deviate from the mean. So, if the standard deviation is large, it means there's a lot of variability among the data points. If it's small, the data points are more clustered around the mean.

Think of it like this: variance gives you a measure of spread, but in the same units as the data (for example, if you're measuring length, the variance would be in square units). Standard deviation is more interpretable because it's in the same units as the original data, making it easier to understand how spread out the data is.

[t__traveler]

U r the best i finally found someone who can explain this clearly with examples

[GAUTAMKUMAR-wcht]

One of the best videos on SD & Variance, thanks a ton for keeping things simple.

[akk]

very clear explanation with visual and speak slowly so we can catch every steps, thanks subscribed!!!

[Isaac-qof]

Thank you so much for explaining these terms as simple as possible.

[EsauRamirez-Perez-vx]

Literally was lost, mainly because my professor goes fast and I cant catch up with what he says but holy am I grateful for this video. I understand most but this just help clarified what I am learning by a significant amount!! <3

[hanswurst-gppi]

Vielen Dank für eure tollen Videos!
Ihr erklärt das Thema Statistik sehr verständlich und auf eine angenehme Weise.
Könntet ihr (ähnlich wie zur Standardabweichung) auch ein Video zum Standardfehler des Mittelwertes machen?

[taashin]

I understood everything except one point
Why in calculating the standard deviation of a sample we divide the mean be n minus one
I mean this make it more accurate to represent the population ? why not just divide it by n alone ? Why exactly minus one ? Not minus 2 or plus one for example?

[archerdev]

Great Lecture, thank you so much.
Math bless you.

[malwalsabino]

The best explanation of standard deviation ever. For the first time, I have a full understanding of SD. Thank you so much

[evash]

this one is more clear explanation<3

[SankalpJulme]

this helped a lot. thank for the explaination

[ThomasHaberkorn]

is there a relationship (or a rule of thumb) of how big the sample size "n" should be at minimum to be confident that it wont change the standard deviation much for bigger sample sizes?

[Amazingarjun]

by adding 10 of each, var and std will remain same?

[z_htdja]

i really have to thank you for this explanation :)

[belalalaa]

Amazing video thank you for sharing this information.

[shikshabunjhoo]

Thank you so much!!! This was so helpful :)