What measure of variability is the square root of the average of the squared deviations from the mean?
A) variance
B) standard deviation
C) range
D) central tendency

Question

Quizplus · Accepted Answer

The square root of the average of the squared deviations from the mean is known as the standard deviation. Choice A (variance) is related to the standard deviation, as it is the squared value of the standard deviation. Choice C (range) measures the difference between the maximum and minimum values, and does not take into account the variability within the data set. Choice D (central tendency) refers to measures such as mean, median, and mode, which describe the typical or central value of a distribution, and not the variability. Thus, the best choice is B, standard deviation.

What Measure of Variability Is the Square Root of the Average