How to Calculate Population Standard Deviation (Step-by-Step)

This video, in statistics, shows the tutorial of how to calculate the population standard deviation. First, it goes over the notation differences between the sample and population standard deviation. Then by showing the calculation for the mu followed by the sum of differences squared. Lastly, solving the formula with an emphasis on the difference between dividing by N compared to n-1 in the formula.

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#Statistics #Math

[Voxtrax]

1 Year later, this man still came
in clutch and helped us out. Much love ❤️

[maryjane]

My favorite statistics channel! I love how you use similar numbers for all variances and deviations. It makes it much easier to understand, and straight to the point. Going to ace my statistics class! 😁

[sha]

Quick and very understandable explanation! Thank you for your existence and your content 🙏

[StuartWoodwardJP]

Thanks! Just clear enough to understand the topic with no fuss.

[junoverena]

you make everything so CLEAR. thank you so much. life saver

[soupstuff]

thank you! I understood how to do it in theory, it was just super helpful to see a breakdown of it step by step so I could follow along with my own population data set per my homework lol. especially with symbols I dont know yet. thank you thank you!

[ronans.]

This was very helpful, u gained a sub. This channel is my go to if I'm having trouble understanding our topic

[michaelenochs]

I just had a light bulb go off because you explained what the u meant. I couldn't understand why E(X-U) meant when we aren't multiplying anything or at least not really. If you actually look at it, E means Sum Of and X is the score. So if you think about the order of operations for this equations, it means
1) Find the Sum of the scores first OVER N EX/N
and then the next step which is
2) E-U or Some Of the scores minus the Mean squared E-U2/N

Now it all makes sense. Just have to remember a sample is N-1

[kris]

I don't understand the last part. I get 14.5 when I divide it then if I do the square root of 14.5x14.5=210.25 so how do you get 3.808

[shenanerosal]

The last step like in squared. I quite not understand it, why 3.808 is the answer

[calebkelley]

what if i have a population size of 100? is there an easier way to calculate this?

[blumoon]

I need help with x2 - x1 - (x1)² over N

[AquaAmazake]

I dont know how to put this into my question. "A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 90% confident that her estimate is within 3 ounces of the true mean? Assume that Population Standard deviation is 6 ounces based on earlier studies"

[Josh-shoy]

why do we divide by 4, why were we given 4

[Gabrielle-zigo]

With out a teacher I feel so hopeless...
Knowing the answer and not knowing how to get to it for hours and hours is the worst