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The formula for standard deviation has both a square (which is a power of 2) and a square-root (a power of 1/2).
Both must be there to balance each other, to keep the standard deviation value's magnitude similar to (having the same units as) the sample numbers from which it's calculated. If either is removed from the formula, the resulting standard deviation value will have different units, reducing its usefulness as a meaningful statistic.
What else can I help you with?
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.
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 standard deviation the positive square root of the variance?
Yes.
Is the standard deviation dependent on the mean?
Yes. Consider the definition of the standard deviation. It is the square root of the variance from the mean. As a result, it can be said that the standard deviation is dependent on the mean.
What is the formula for calculating uncertainty in a dataset using the standard deviation?
The formula for calculating uncertainty in a dataset using the standard deviation is to divide the standard deviation by the square root of the sample size.
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.
What is the relationship between standard deviation and variance?
Standard deviation is the square root of the 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.
Can standard deviation be larger then its variance?
No. The standard deviation is the square root of the variance.
How do you convert variance of 10.8 square inches into standard deviation?
Standard deviation = square root of variance.
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.
The standard deviation is the square root of the average squared deviation of scores from the?
mean
What is the square root of the variance called?
Standard deviation
What is the standard deviation of a variance of 846?
If the variance is 846, then the standard deviation is 29.1, the square root of 846.
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.
