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Mathematics 14 Online
OpenStudy (anonymous):

A sample with which of these variances has a standard deviation that is greater than the variance? A. 0.25 B. 1.75 C. 2.5 D. 1.5

OpenStudy (kropot72):

The standard deviation is the square root of the variance. Take the square root of each of the values of variance and see which one is greater than the variance.

OpenStudy (anonymous):

im lost

OpenStudy (kropot72):

For example what is the square root of 0.25?

OpenStudy (anonymous):

.5

OpenStudy (kropot72):

So is the standard deviation greater when the variance is 0.25?

OpenStudy (anonymous):

idk that whole diviation greater thing im lost what does it mean :?

OpenStudy (kropot72):

Variance = 0.25 Standard deviation = square root of 0.25 = 0.5 Therefore in this case the standard deviation is greater than the variance.

OpenStudy (anonymous):

i dont get this pellet

OpenStudy (anonymous):

pellet

OpenStudy (anonymous):

crap

OpenStudy (kropot72):

Choice A in the question is correct: Variance = 0.25 Standard deviation = square root of 0.25 = 0.5 Therefore in this case the standard deviation is greater than the variance. If you take the square roots of the variance in the choices B, C and D you will find that the standard deviations are smaller than the variances.

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