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The variance is the square of the standard deviation.
This question is equivalent to
can s = s^2
The 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.
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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.
Standard deviation is 13.1 What is the variance?
Standard deviation, σ = 13.1 Variance, σ2 = 171.6
Is variance directly proportional to standard deviation?
Variance isn't directly proportional to standard deviation.
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.
What is the relationship between standard deviation and variance?
Standard deviation is 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.
The standard deviation of a sample of 10000 observations equals 121 The variance of the sample equals?
It equals 14641.
How do you calculate standard deviation if I know variance?
Standard deviation = square root of variance.
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.
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.
If the Mean equals 100 variance equals 40 and sample size equals 10 what is the standard deviation?
6.3
Standard deviation is 13.1 What is the variance?
Standard deviation, σ = 13.1 Variance, σ2 = 171.6
Is variance directly proportional to standard deviation?
Variance isn't directly proportional to standard deviation.
Can standard deviation and variance be negative?
No. Neither the standard deviation nor the variance can ever be negative.
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.
