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Mathematics 89 Online
OpenStudy (anonymous):

What is standard variation and why is it the square root of the variance?

OpenStudy (anonymous):

the standard deviation is a special type of mean, it measures the dispersion of items ie. how far numbers are moving away from the mean \[x_{i}-mean\] but since some numbers can deviate negetively the result has to be squared. the average of the squared result is the varience \[\sum(x-mean)^2/n\] the sd is the square root of the varience because those number were initially unsquared we squared them to avoid adding negetives

OpenStudy (anonymous):

What would this be in terms of bell curves? Surely you would have to factor in the probability at x along with how far it deviates from x, some thing like \[P(x) (x-m)^2\]

OpenStudy (anonymous):

Also, I take it that the SD is the square root of the variance rather than the variance the square of the SD (ie- the Standard deviation is an absolute value also)?

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