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Give some practical uses of knowing variation.

Give some practical uses of knowing variation.
Math   Statistics-And-Probability   
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Answer #1

In practical, you calculate the standard deviation through calculating the variance. I believe that variance is used more often (apart from interpretation, as you indicated yourself) because it has a lot of statistically interesting properties.

it has unbiased estimators in a lot of cases, leads to known distributions for hypothesis testing etc.

As to variance bigger: (if the variance were   the SD would be   as soon as your variance or SD are smaller than this order reverses.

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