In general, what is the relationship between the standard deviation and variance?

a.


Standard deviation equals the squared variance.

b.


Variance is the square root of standard deviation.

c.


Standard deviation is the square root of variance.

d.


These two measures are unrelated.

http://www.quickmba.com/stats/standard-deviation/

c. Standard deviation is the square root of variance.

To understand the relationship between standard deviation and variance, it's important to define each of these measures. Both standard deviation and variance are used to describe the spread or dispersion of a data set.

Variance is a measure of how far each number in the set is from the mean (average) and it is calculated by taking the average of the squared differences between each data point and the mean. In other words, variance is the average of the squared deviations from the mean.

Standard deviation, on the other hand, is the square root of the variance. It is also a measure of dispersion, but it is easier to interpret because it is in the same units as the data.

So, in summary, the standard deviation is the square root of the variance. Therefore, the correct answer is c. Standard deviation is the square root of variance.