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Can the Variance ever be smaller than standard deviation?
Yes. If the variance is less than 1, the standard deviation will be greater that the variance. For example, if the variance is 0.5, the standard deviation is sqrt(0.5) or 0.707.
How is standard deviation different from mean absolute decation?
If I have understood the question correctly, despite your challenging spelling, the standard deviation is the square root of the average of the squared deviations while the mean absolute deviation is the average of the deviation. One consequence of this difference is that a large deviation affects the standard deviation more than it affects the mean absolute deviation.
What is mean deviation and why is quartile deviation better than mean deviation?
What is mean deviation and why is quartile deviation better than mean deviation?
With a standard deviation of 0.01 inches and a mean of 0.55 inches what percentage of will be greater than 0.57?
Prob(X > 0.57) = Prob(Z > 2) = 0.02275 = 2.275%
What is considered a high standard deviation?
There's no valid answer to your question. The problem is a standard deviation can be close to zero, but there is no upper limit. So, I can make a statement that if my standard deviation is much smaller than my mean, this indicates a low standard deviation. This is somewhat subjective. But I can't make say that if my standard deviation is many times the mean value, that would be considered high. It depends on the problem at hand.
