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Mathematics 18 Online
jasminethompon1:

How do I find standard deviation

jasminethompon1:

2, 4, 6, 8, 10 a. 2.83 c. 6.32 b. 8 d. 64

dude:

Use this nifty equation \(s=\large \sqrt{\frac{\sum (x_1-\overline{x})^2}{n-1}}\) First, find the average [ \(\overline{x}\) ]

jasminethompon1:

Ive never done Standard deviation, I'm ahead of others. I don't even know what that equation is

dude:

That's the standard deviation formula I am telling you what to do so that you know what to to in the future, find the average of the numbers they gave you

Vocaloid:

I think it would be wise to explain how that equation works Start with the (x - xbar) part. The x bar is the x with the horizontal line on it. xbar is the mean of the list. So start by finding the mean. x is a value from the list. Start with the first value, 2. Subtract x - xbar, or in other words, 2 - the mean. Then according to the equation you square the result

Vocaloid:

The E-looking sign in front is a sigma sign which means sum of a list of items. Basically you repeat the above process for 4, 6, etc. and sum the results

Vocaloid:

Ok so that gives you the numerator in the equation. Now the denominator is n - 1 where n is just the number of items in your list (5)

Vocaloid:

Now you have the denominator and the numerator. Divide numerator over denominator then take the square root of the result

Vocaloid:

Hope that makes sense On my phone so I apologize for any typos or weird formatting

Vocaloid:

Oh come on guys I deserve at least one medal for typing all this out

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