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STDEV.S is the correct method. End of story.

The difference between the two (open google--cause statisticians don't use those terms, there is standard deviation (STDEV.P)--statisticians use sigma and then there is ESTIMATED standard deviation,(STDDEV.S) which is known a 's'.

Its like your measured values is "x" and the mean is "mu"

English variables mean "measured" and greek variables are "intrinsic"--properties of the distribution

Standard Deviation is the width on a Normal or Gaussian Distribution. The formula is:
View attachment 8323682
sigma is the Std Dev. mu (the u thingy) is the mean).

Its a complicated formula, but just know that sigma controls the width, and mu controls the location:
View attachment 8323683

That's pretty standard stuff, but that's pure THEORY (egads a running gag in my own posts). When you MEASURE something you are sampling from that theoretical distribution (you get points at random, from a random distribution). Assuming your distribution is normal (not always safe), you can estimate the TRUE Standard Deviation by using the Estimated Standard Deviation, s. They key here is there is some unknown TRUE sigma which we try and estimate by taking samples. The Estimated and True will only begin to approach equal once the number of samples becomes very very large.

So the TLDR version is STDEV.S would be the statistician's choice to ESTIMATE the standard deviation of your velocity.


Example: I ran created a distribution with mean 2800 and simga 10. I grabbed 5 samples at random, 10 times and took the STDEV.P--However, we KNOW its 10 (I made it!). Here are the results:
"True Method"
[13.275930373733024,
8.342655830573312,
7.23926247655942,
5.156843761443447,
8.550960467769086,
13.76093532000941,
3.2590625589140196,
7.783767404854264,
3.911747500033366,
7.031416934586289]

Estimated:
[14.842941390110614,
9.327372775023447,
8.09374150227517,
5.765526599966628,
9.560264439422538,
15.385193404759432,
3.6437427123280806,
8.702516519150631,
4.373466660444734,
7.861363121939068]

With the estimated std dev, you get a value that is higher (instead of dividing by num of samples, you divide by n-1 for math reasons--in reality using the "true" method induces a bias towards 0)--so you could get lucky or you could get unlucky.

OR

Based on the following random data I "sampled":
array([2794.70526224, 2816.48889134, 2797.31856425, 2785.55297754,
2791.62315356])

I would publish an s of 11.67 with 95% CI of (4.07, 14.80) meaning I am 95% sure the TRUE sigma lies on the interval 4.07 to 14.80

You use confidence intervals : since I have to publish shit for the dreaded peer review, I would say my estimated std dev is 10.4 (4.07, 14.80)

So I read that as a sample size of 5 means dick either way. But "s" is the correct method.

Also statisticians don't use excel, they use R, which is a filthy language.
I teach data science/AI so I use python:

Go to google colab and reproduce my results. I prob made a mistake, but I fuck it. That's how you think of this as a "statistician"
spaces are important in the code btw Due to RNG, your number may vary slightly from mine. I'm, not getting into psuedo-random numbers with howler monkies.

[FONT=courier new]import numpy as np p=[] s=[] n=10 size=5 for i in range( n ): x =np.random.normal(loc=2800, scale=10.0, size=size) p.append(np.std(x)) tmp = (x-x.mean())**2 tmp = tmp.sum() tmp = 1/(size-1) * tmp tmp = np.sqrt(tmp) s.append(tmp) import matplotlib.pyplot as plt plt.scatter(np.linspace(0,9,10),p,label="True") plt.scatter(np.linspace(0,9,10),s,label="Estimated") plt.legend() plt.show() sigma=[] for i in range(100): tmp = np.random.choice(x,5,replace=True) print(tmp) sigma.append(np.sqrt((((tmp-tmp.mean())**2).sum())/4)) print(np.percentile(sigma,95)) print(np.percentile(sigma,5)) print(np.sqrt((((x-x.mean())**2)/4).sum()))[/FONT]
I stopped reading when you got to the calculus. Two years of that shit, plus a semester of differential equations, is enough for me.
 
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Bear Pit does not care how you feel.
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I forgot to mention that I am proud to live rent free in your minds 😂 good stuff kids. Keep it up!
Who the fuck are you, again?
Dunno who that cat is. We were talking about that Brian Z feller. Now Brian, he craved attention. Wonder what happened to him?

Oh well. This is now a howler monkey thread anyways. Mo’ better
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Or this
View attachment 8325067


the best part is he thinks we need to be mad to make fun of him, bitch this is a sport.
You are not wrong. Not even a little bit.

Shit slinging, hoping to hurt that last feeling.

I 've had most of my feelings burned out and a few surgically removed. But, yes, the sport continues.

Some of this reminds me of working with my old friend, Lee. We would eat a nice lunch on Fridays (working construction) at a mom and pop diner where you could (around the turn of the century) eat yourself into a coma for about 8 dollars, including a nice tip from each of us.

We would go back to work and Lee would say, "I feel full and totally useless."

I would ask, "How do we tell the difference between now and before lunch?"

Can you feel the love in the room?
 
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You are not wrong. Not even a little bit.

Shit slinging, hoping to hurt that last feeling.

I 've had most of my feelings burned out and a few surgically removed. But, yes, the sport continues.

Some of this reminds me of working with my old friend, Lee. We would eat a nice lunch on Fridays (working construction) at a mom and pop diner where you could (around the turn of the century) eat yourself into a coma for about 8 dollars, including a nice tip from each of us.

We would go back to work and Lee would say, "I feel full and totally useless."

I would ask, "How do we tell the difference between now and before lunch?"

Can you feel the love in the room?
IMG_0327.png
 
It’s funny how the idiot @Sniper King 2020 things we’re crying while we are having fun mocking his idiocy. An ego so large that he can’t tell laughing from crying? A bad case of cranial rectal inversion? Or just a plain idiot?

Stayed tuned for more exciting nothingness from the mock-king of idiots after these commercials.
 
I think I’m good with concluding that this forum is full of leftists liberals. No wonder it’s full of mindless zombies. You’re renamed “Liberals Hide”
 
Build a thousand bridges but suck one dick, and nobody remembers anything about the bridges you built. All that statistical work down the drain because you opened your post by insulting the entirety of your target audience.

Meanwhile, you jump onto the 'Hide like:

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