A distribution with a large standard deviation must also have a large
A) number of scores near the mean
B) number of scores near the median
C) variance
D) none of these

Question

Quizplus · Accepted Answer

The standard deviation measures the spread of the data around the mean. A large standard deviation indicates that the data points are more spread out from the mean, which implies that there is a high variability in the data. The variance is a measure of the average spread of the data points around the mean, and is directly related to the standard deviation. Therefore, a distribution with a large standard deviation will also have a large variance. Choices A and B are not necessarily true since a distribution with a large standard deviation may have few or many scores near the mean or median, depending on the shape of the distribution.

A Distribution with a Large Standard Deviation Must Also Have