Standard Deviation and Variance 

Glad it was helpful! Regards, Hannah

Glad it helped and thanks for your nice feedback! Regards Hannah

Glad it was helpful and many thanks for your feedback! Regards Hannah

Many thanks : )

You are welcome!

Hier auch vielen Dank nochmal : )

You're so welcome!

Glad it was helpful!

Many thanks : )

You are welcome Daniel : )

Glad you liked it

Thanks and welcome, Regerds Hannah

I know how, but I wont tell you

Thanks : )

It depends on the situation!

Can't u just try

Hi, this is a bit complicated but I will try. When calculating the standard deviation for a sample, it is divided by (n - 1) instead of (n) to correct for bias and get a better estimate of the population standard deviation. This adjustment is known as "Bessel's correction." Here's why it is done: 1. Population vs. Sample: - If you have a complete population, you would use (n) (where (n) is the total number of data points) to calculate the standard deviation. - In the case of a sample, which is a subset of the population, using (n) would typically underestimate the population standard deviation because the sample might not fully represent the population's variation. 2. Bessel's Correction: - By dividing by (n - 1), you adjust for this underestimation. The denominator (n - 1) provides a more accurate estimate by accounting for the "loss" of degrees of freedom due to the mean being derived from the sample itself. - In simpler terms, when you use a sample to estimate the population standard deviation, you effectively "lose" one data point's worth of information due to calculating the sample mean. Dividing by (n - 1) compensates for this. 3. Degrees of Freedom: - The use of (n - 1) is linked to the concept of degrees of freedom. When you estimate a parameter from the data (like the sample mean), you reduce the degrees of freedom because the sample values are constrained by this estimate. Dividing by (n - 1) corrects for this loss, providing a less biased estimate of variability. By using (n - 1) instead of (n), the calculated standard deviation from a sample more closely approximates the true standard deviation of the population, especially when the sample size is small. Regards Hannah

​@@datatab But why specifically n-1 and not possibly something even higher like n - 10, etc?

Hi vielen danke für dein Feedback! Das Mikrofon war diesmal leider ein wenig Laut eingestellt, daher ist es teils ein wenig hoch/kwitchig. Der Rest ist denke ich Geschmackssache und da es aktuell recht gut ankommt werden wir den weg erstmal so weiter gehen. Wie man hört : ) sind wir keine ausgebildeten Sprecher und keine natives, aber das muss bei einem RU-vid-Kanal ja auch nicht sein : ) Das gleiche Video gibt es auch nochmal auf deutsch auf unserem deutschen Kanal: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-aR1cX9abjag.html LG Mathias

The voice helps me a lot actually. And the fact that you speak slowly also. So thank you. 🙏🏻