What is the relationship between the variance and the standard deviation?
A) The standard deviation is the absolute value of the variance.
B) The variance is the absolute value of the standard deviation.
C) The variance is the positive square root of the standard deviation.
D) The standard deviation is the positive square root of the variance.

Question

Quizplus · Accepted Answer

The standard deviation (SD) is the positive square root of the variance (VAR). Mathematically, SD = √VAR. The variance measures how spread out the data is from the mean, and the standard deviation is simply a measure of how much the individual observations in a dataset differ from the mean of the dataset. Therefore, the standard deviation and the variance are both measures of variability, with the standard deviation being more commonly used due to its ease of interpretation (it has the same unit as the original data).

What Is the Relationship Between the Variance and the Standard