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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.
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What is the relationship between standard deviation and variance?
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.
Is standard deviation the positive square root of the variance?
Yes.
How do you convert variance of 100 to standard deviation?
Standard Deviation = (principal value of) the square root of Variance. So SD = 10.
Why standard deviation is more often used than variance?
Both variance and standard deviation are measures of dispersion or variability in a set of data. They both measure how far the observations are scattered away from the mean (or average). While computing the variance, you compute the deviation of each observation from the mean, square it and sum all of the squared deviations. This somewhat exaggerates the true picure because the numbers become large when you square them. So, we take the square root of the variance (to compensate for the excess) and this is known as the standard deviation. This is why the standard deviation is more often used than variance but the standard deviation is just the square root of the variance.
