still dont get it. yes you would be underestimating it if u take the sample cluster below the mean. but if the cluster is above the mean? you would be overestimating it! seems arbitrary to me.

It has to do with the fact that on an interval with N points there are N-1 smallests subintervals. Consider for example the interval [1,4] on the natural number line in which case N=4 You can subdivide it only in [1,2] [2,3] [3,4] which is 3 not 4 smallest subintervals.

The most common question seems to be why n-1 and not n-2 or n-3424342 (any other number). The way I understand it comes from the definition of unbiased estimators (look it up on wikipedia), in a nutshell an unbiased estimator is one whose expected value equals the value it is estimating. n-1 is known as bessel's correction (also on wikipedia). Here you can see that E[S^2]=sigma^2, hence it is unbiased. This makes sense; if you take enough samples and average them, you get true pop value.

I GET IT! I had to work out the proof and think about it really hard, but I get it! I have an intuition for why n-1 makes sense! Message me with your questions, because I don't think I can explain it easily in the comment boxes.

We all hold the key to our part save the world by using and combining knowledge to promote peace throughout the world. I'm starting it off as an inventor and entrepreneur

Knowledge is the only hope for world peace. We must have save trench town. As an actual real world issues that can be mathematically save the world from this little island. If you you can do it!

Why isn't this video on the statistics playlist?

starts at 5:05

this does not give an explanation for why it is exactly n-1.

still dont get it. yes you would be underestimating it if u take the sample cluster below the mean. but if the cluster is above the mean? you would be overestimating it! seems arbitrary to me.

So why minus – 1? Why not – 2 ? Or minus 6,345 % ? This is still not an explanation of the n – 1 :-(.

Didn't say anything about n-1, misleading title.

I love you, fuck the rest of explanations on internet, this made me understand

If you want a more technical explanation/proof, Wikipedia Bessel's Correction. This video has some good intuition though.

It has to do with the fact that on an interval with N points there are N-1 smallests subintervals. Consider for example the interval [1,4] on the natural number line in which case N=4 You can subdivide it only in [1,2] [2,3] [3,4] which is 3 not 4 smallest subintervals.

The most common question seems to be why n-1 and not n-2 or n-3424342 (any other number). The way I understand it comes from the definition of unbiased estimators (look it up on wikipedia), in a nutshell an unbiased estimator is one whose expected value equals the value it is estimating. n-1 is known as bessel's correction (also on wikipedia). Here you can see that E[S^2]=sigma^2, hence it is unbiased. This makes sense; if you take enough samples and average them, you get true pop value.

I GET IT! I had to work out the proof and think about it really hard, but I get it! I have an intuition for why n-1 makes sense! Message me with your questions, because I don't think I can explain it easily in the comment boxes.

We all hold the key to our part save the world by using and combining knowledge to promote peace throughout the world. I'm starting it off as an inventor and entrepreneur

Knowledge is the only hope for world peace. We must have save trench town. As an actual real world issues that can be mathematically save the world from this little island. If you you can do it!