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What is the relationship between standard deviation and variance?
Standard deviation is the square root of the variance.
Is variance the square root of standard deviation?
No, you have it backwards, the standard deviation is the square root of the variance, so the variance is the standard deviation squared. Usually you find the variance first, as it is the average sum of squares of the distribution, and then find the standard deviation by squaring it.
Is it true that the standard deviation is equal to the square root of the variance?
Yes. Please see the related link, below.
Can standard deviation equals to variance?
The variance is the square of the standard deviation.This question is equivalent tocan s = s^2The answer is yes, but only in two cases.If the standard deviation is 1 exactly, then so is the variance.If the standard deviation is 0 exactly, then so is the variance.If the standard deviation is anything else, then it is not equal to the variance.You are not likely to find these special cases in practical problems, so from a practical sense, you should think that they are generally not equal.
Why is standard deviation of a statistic called standard error?
The standard error is the standard deviation divided by the square root of the sample size.
Is it possible for a standard deviation to be negative?
no it is not possible because you have to take the square of error that is (x-X)2. the square of any number is always positive----------Improved answer:It is not possible to have a negative standard deviation because:SD (standard deviation) is equal to the square of V (variance).
What is the square of the standard deviation called?
The square of the standard deviation is called the variance. That is because the standard deviation is defined as the square root of the variance.
What is the relationship between standard deviation and variance?
Standard deviation is the square root of the variance.
What is the standard normal deviation?
The standard deviation of a normal deviation is the square root of the mean, also the square root of the variance.
Can a standard deviation of a sample be equal to a standard deviation of a population?
Yes
What is the equation for standard deviation?
Standard deviation is equal to the square root of the variance. To arrive at this work out the mean, then subtract the mean and square the result of each number. Then work out the mean of those squared differences and take the square root of that.
How do you convert variance of 10.8 square inches into standard deviation?
Standard deviation = square root of variance.
Can standard deviation be larger then its variance?
No. The standard deviation is the square root of the variance.
How do you calculate variance given standard deviation?
Square the standard deviation and you will have the variance.
Is it true or false that the standard deviation of a set is always smaller than the variance of that set?
False. The standard deviation of a set is the square root of the variance, so it is not always smaller; in fact, it is always less than or equal to the variance when the variance is positive. The standard deviation can be equal to the variance only when the variance is 1 (since the square root of 1 is 1).
How do you calculate standard deviation if I know variance?
Standard deviation = square root of variance.
Is variance the square root of standard deviation?
No, you have it backwards, the standard deviation is the square root of the variance, so the variance is the standard deviation squared. Usually you find the variance first, as it is the average sum of squares of the distribution, and then find the standard deviation by squaring it.
