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Why take the square root of the variance when calculation standard deviation?
Wiki User
∙ 10y ago
The variance is based on the squares of the variable being studied. If, for example, the variable is mass, then the variance is measured in mass-squared. Most people will not be able to wrap their heads around the square of mass. However, the square root will be in the same units of measurement as the variable itself. Thus, the idea of a variable being distributed about a mean, M (also measured in the same units), with a standard deviation (or error) of S is easier to understand.
Second, under reasonable conditions,the transformed variable obtained by subtracting the mean and dividing the result by the standard deviation will have a standard normal distribution. This is extremely important for estimation and hypothesis testing.
Wiki User
∙ 9y ago
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How do you calculate variance given standard deviation?
Square the standard deviation and you will have 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.
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 standard deviation is better measure of variance?
1. Standard deviation is not a measure of variance: it is the square root of the variance.2. The answer depends on better than WHAT!
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 calculate variance given standard deviation?
Square the standard deviation and you will have 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.
Is the variance of a group of scores the same as the squared standard deviation?
The standard deviation is defined as the square root of the variance, so the variance is the same as the squared 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.
What is the standard deviation when mean is 64 and variance is 36?
Standard deviation is the square root of the variance. Therefore, the standard deviation is the sqrt 36 or 6.
What is the relationship between standard deviation and variance for the same sample data?
The standard deviation is the square root of the variance.
If a set of data has 100 points and a variance 4 then what is the standard deviation?
Standard deviation is the square root of the variance. Since you stated the variance is 4, the standard deviation is 2.
