As a measure of dispersion,a _________ is a measure that specifies how far 68%,95%,and 99.9% of a sample is around a mean value.
A)range
B)standard deviation
C)mode
D)regular distribution
E)median

Question

Quizplus · Accepted Answer

Standard deviation is a measure of dispersion that quantifies the amount of variation or spread in a set of data. It specifies how much the observations deviate from the mean value. Moreover, it is useful in understanding the distribution of data and determining the likelihood of certain events occurring. The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation, 95% falls within two standard deviations, and 99.7% falls within three standard deviations of the mean value. Hence, the standard deviation is the best choice for the given question.

As a Measure of Dispersion,a _________ Is a Measure That