QuestionJuly 15, 2025

What is the relationship between the variance and the standard deviation? The standard deviation is square the variance. (Choose one) double four times half of

What is the relationship between the variance and the standard deviation? The standard deviation is square the variance. (Choose one) double four times half of
What is the relationship between the variance and the standard deviation?
The standard deviation is
square 
the variance. (Choose one)
double
four times
half of

Solution
4.5(290 votes)

Answer

the square root of the variance. Explanation 1. Define Variance and Standard Deviation Variance is the average of the squared differences from the mean. Standard deviation is the square root of the variance. 2. Express Standard Deviation in Terms of Variance The standard deviation (\sigma) is calculated as \sigma = \sqrt{\text{variance}}. 3. Determine Relationship Since standard deviation is the square root of variance, it is neither double, four times, nor half of the variance.

Explanation

1. Define Variance and Standard Deviation<br /> Variance is the average of the squared differences from the mean. Standard deviation is the square root of the variance.<br /><br />2. Express Standard Deviation in Terms of Variance<br /> The standard deviation ($\sigma$) is calculated as $\sigma = \sqrt{\text{variance}}$.<br /><br />3. Determine Relationship<br /> Since standard deviation is the square root of variance, it is neither double, four times, nor half of the variance.
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