Your ability to press a single button on a calculator neither impresses me nor convinces me that you know what that button does.
Standard deviation is calculated by the square root of the average of the squared differences of the mean.
And I've been using my iphone, which doesnt have a standard deviation button as far as I know.
Your ability to press the correct button on your calculator doesn't impress me either. The standard deviation of this population is actually 78.71.
Actually, I did do the standard deviation. 78.71 is the
population standard deviation. But that number is what should be used, so thank you for correcting my mistake, even if you did it in a condescending way.
That is not a sample. A sample is a subset of the population. That means that every member of the sample must also be a member of the population. Let's start by taking the superset of your group and the original population: 1, 2, 80, 90, 100, 110, 120, 130, 299, 300. The standard deviation is 97.74.
Ok, my mistake. I should not have added numbers.
Now, my point, in case your reading skills are as bad as your math skills, was that the forum contains fewer near-average members. Of course the standard deviation is going to be lower if you remove the extremes but don't remove the near-average values. So let's try that: 2, 80, 90, 120, 130, 299. We've removed the minimum and maximum, and also a couple near the average. The standard deviation of this sample is 98.56, higher than the population. It is higher than the population despite having a smaller range because it has fewer near-average members. If you can't understand that, then there's no hope for you.
Why do you choose which numbers are removed? Say the entire population of Earth is 10 people: 1, 2, 80, 90, 100, 110, 120, 130, 299, 300. Population Standard Deviation is 97.74, like you said. The Standard Deviation is 103.02. 8 people use bitcoin talk. The genius and idiot don't. 2, 80, 90, 100, 110, 120, 130, 299. Population Standard Deviation (even though it should be disregarded) is 78.23 . Standard Deviation is 83.63 .
Both are lower, which is to be expected. Why would you remove the average members? It's cool that you think that bitcointalk has "fewer near-average members", but that's unrealistic. There
will be people on bitcointalk with average IQs, and they will make up the majority of the population. There will not be people with IQs of 1 or 300. In fact, if anything, it makes sense to remove the 2 and 299 as well.
Of course, even if you don't agree with that don't call me an idiot because I am doing the exact same thing that you are doing- removing numbers to suit our arguments. But the numbers I remove actually make sense. There are average members on bitcointalk. There are not people with IQs of 1 or 300, so those should be removed.
Just out of curiosity, where did you get this idea that a smaller range necessarily implies a lower standard deviation? Are schools in the U.S. really that bad?
The old "US schools suck".Too I actually took a IB course in high school because my school didn't offer American courses at higher levels. Blame Europe.
Here's the thing. If I have 1, 2, 3, 4, 5 as my population numbers I have a range of 4, and a population standard deviation of 1.41 . If I want to change the range, I have to remove the outliers. If I remove the middle numbers like you did that does jack shit to the range. So if I remove 1, so that my range is 3, I have a new standard deviation (not population) of 1.29.
You're right, a smaller range does not necessarily imply a smaller standard deviation. But if the only numbers you remove are outliers so that you can change the range (which would make sense in bitcointalk) then the standard deviation will go down.
Also, stop being so condescending. Really? Your first set of numbers were pulled out of your ass. You picked easy to calculate numbers that were irrelevant just to make a point. I used numbers that make some sense, and you called me out for simple mistakes.