If the standard deviation of a set of data is relatively small, then:
A) The sample does not accurately represent the population.
B) The standard deviation diverges from the variance.
C) The data tend to be spread out from the median point.
D) The population from which the data are extracted tends to be large.
E) Most of the data fall close to the mean point.

Question

Quizplus · Accepted Answer

A small standard deviation indicates that the data points are clustered closely around the mean, so most of the data falls close to the mean point. This suggests that the data set is less spread out and more consistent. It does not necessarily indicate anything about the representativeness of the sample, the relationship between standard deviation and variance, or the size of the population.

If the Standard Deviation of a Set of Data Is