Experimental Design B/C

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Re: Experimental Design B/C
s = sqrt((Σ(y  ȳ)^2)/n1)dxu46 wrote:Welcome to the 2019 Experimental Design Question Marathon!!!
Question: What is the formula for standard deviation?
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 dxu46
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Re: Experimental Design B/C
Your turn.Knyte_Xjn wrote:s = sqrt((Σ(y  ȳ)^2)/n1)dxu46 wrote:Welcome to the 2019 Experimental Design Question Marathon!!!
Question: What is the formula for standard deviation?

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Re: Experimental Design B/C
To dxu46: Technically, you need to specify whether it's sample standard deviation or population standard deviation because in rare cases you might have the population standard deviation, but maybe that's a little out of the scope of this event . . .dxu46 wrote:Welcome to the 2019 Experimental Design Question Marathon!!!
Question: What is the formula for standard deviation?
To Knyte_Xjn (and whoever else might be interested in learning how to make mathematics equations look pretty): This paragraph is just a matter of preference and readability. If you don't want to deal with the hassle (which makes sense if you don't write formulae regularly), then you can just ignore this. Anyway, you can use the math tags on this forum to write mathematic formulae. If you don't know the format, I believe it's called , and you should get plenty of results if you just search up "how to write <whatever you want to write> in latex", since it's the standard way to typeset mathematics if you're a scientist or mathematician or whatever. To give an example, your answer would look likeKnyte_Xjn wrote:s = sqrt((Σ(y  ȳ)^2)/n1)
[math]s = \sqrt{\frac{\sum(y  \bar{y})^2}{n1}}[/math] Or, you can use x instead of y: [math]s = \sqrt{\frac{\sum(x  \bar{x})^2}{n1}}[/math] Or, you can write the formula for population standard deviation with a fancy Greek letter: [math]\sigma = \sqrt{\frac{\sum(x \bar{x})^2}{n}}[/math]
 dxu46
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Re: Experimental Design B/C
a. Yes it's out of the scope for this eventUTF8 U+6211 U+662F wrote:To dxu46: Technically, you need to specify whether it's sample standard deviation or population standard deviation because in rare cases you might have the population standard deviation, but maybe that's a little out of the scope of this event . . .dxu46 wrote:Welcome to the 2019 Experimental Design Question Marathon!!!
Question: What is the formula for standard deviation?
To Knyte_Xjn (and whoever else might be interested in learning how to make mathematics equations look pretty): This paragraph is just a matter of preference and readability. If you don't want to deal with the hassle (which makes sense if you don't write formulae regularly), then you can just ignore this. Anyway, you can use the math tags on this forum to write mathematic formulae. If you don't know the format, I believe it's called , and you should get plenty of results if you just search up "how to write <whatever you want to write> in latex", since it's the standard way to typeset mathematics if you're a scientist or mathematician or whatever. To give an example, your answer would look likeKnyte_Xjn wrote:s = sqrt((Σ(y  ȳ)^2)/n1)which I personally think is a lot nicer. Again, no worries if you don't understand what I'm doing here, and if you don't want to spend time figuring it out, don't bother.[math]s = \sqrt{\frac{\sum(y  \bar{y})^2}{n1}}[/math] Or, you can use x instead of y: [math]s = \sqrt{\frac{\sum(x  \bar{x})^2}{n1}}[/math] Or, you can write the formula for population standard deviation with a fancy Greek letter: [math]\sigma = \sqrt{\frac{\sum(x \bar{x})^2}{n}}[/math]
b. Latex looks nicer but takes a bit more work, so why use it when you can communicate the same message in an easier way?

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Re: Experimental Design B/C
(a): Yeah I get that, but it's hard not to comment once you've taken a stat coursedxu46 wrote:a. Yes it's out of the scope for this eventUTF8 U+6211 U+662F wrote:To dxu46: Technically, you need to specify whether it's sample standard deviation or population standard deviation because in rare cases you might have the population standard deviation, but maybe that's a little out of the scope of this event . . .dxu46 wrote:Welcome to the 2019 Experimental Design Question Marathon!!!
Question: What is the formula for standard deviation?
To Knyte_Xjn (and whoever else might be interested in learning how to make mathematics equations look pretty): This paragraph is just a matter of preference and readability. If you don't want to deal with the hassle (which makes sense if you don't write formulae regularly), then you can just ignore this. Anyway, you can use the math tags on this forum to write mathematic formulae. If you don't know the format, I believe it's called , and you should get plenty of results if you just search up "how to write <whatever you want to write> in latex", since it's the standard way to typeset mathematics if you're a scientist or mathematician or whatever. To give an example, your answer would look likeKnyte_Xjn wrote:s = sqrt((Σ(y  ȳ)^2)/n1)which I personally think is a lot nicer. Again, no worries if you don't understand what I'm doing here, and if you don't want to spend time figuring it out, don't bother.[math]s = \sqrt{\frac{\sum(y  \bar{y})^2}{n1}}[/math] Or, you can use x instead of y: [math]s = \sqrt{\frac{\sum(x  \bar{x})^2}{n1}}[/math] Or, you can write the formula for population standard deviation with a fancy Greek letter: [math]\sigma = \sqrt{\frac{\sum(x \bar{x})^2}{n}}[/math]
b. Latex looks nicer but takes a bit more work, so why use it when you can communicate the same message in an easier way?
(b): For me honestly, it's around the same amount of work. Also, it's way easier typing \sum than typing an uppercase sigma on most keyboards and operating systems. I think mostly it's a matter of how often you type equations because it becomes second nature quite quickly.
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Re: Experimental Design B/C
b. Yeah I tend to type the words because I use online graphing utilities (e.g. desmos) and it's easier to type than to click.UTF8 U+6211 U+662F wrote:(a): Yeah I get that, but it's hard not to comment once you've taken a stat coursedxu46 wrote:a. Yes it's out of the scope for this eventUTF8 U+6211 U+662F wrote:
To dxu46: Technically, you need to specify whether it's sample standard deviation or population standard deviation because in rare cases you might have the population standard deviation, but maybe that's a little out of the scope of this event . . .
To Knyte_Xjn (and whoever else might be interested in learning how to make mathematics equations look pretty): This paragraph is just a matter of preference and readability. If you don't want to deal with the hassle (which makes sense if you don't write formulae regularly), then you can just ignore this. Anyway, you can use the math tags on this forum to write mathematic formulae. If you don't know the format, I believe it's called , and you should get plenty of results if you just search up "how to write <whatever you want to write> in latex", since it's the standard way to typeset mathematics if you're a scientist or mathematician or whatever. To give an example, your answer would look likewhich I personally think is a lot nicer. Again, no worries if you don't understand what I'm doing here, and if you don't want to spend time figuring it out, don't bother.[math]s = \sqrt{\frac{\sum(y  \bar{y})^2}{n1}}[/math] Or, you can use x instead of y: [math]s = \sqrt{\frac{\sum(x  \bar{x})^2}{n1}}[/math] Or, you can write the formula for population standard deviation with a fancy Greek letter: [math]\sigma = \sqrt{\frac{\sum(x \bar{x})^2}{n}}[/math]
b. Latex looks nicer but takes a bit more work, so why use it when you can communicate the same message in an easier way?
(b): For me honestly, it's around the same amount of work. Also, it's way easier typing \sum than typing an uppercase sigma on most keyboards and operating systems. I think mostly it's a matter of how often you type equations because it becomes second nature quite quickly.
Also AOPS Alcumus is easier without latex (primarily because it's too confusing for me)

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Re: Experimental Design B/C
Can someone else can ask a question in my place?dxu46 wrote:Your turn.Knyte_Xjn wrote:s = sqrt((Σ(y  ȳ)^2)/n1)dxu46 wrote:Welcome to the 2019 Experimental Design Question Marathon!!!
Question: What is the formula for standard deviation?
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 TheChiScientist
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Re: Experimental Design B/C
Sure. State the formula for percent error.
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 dxu46
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Re: Experimental Design B/C
TheChiScientist wrote:Sure. State the formula for percent error.
the absolute value of the difference between experimental value and accepted value and divide that by accepted value.
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