Suppose that two sets of data conform to a normal probability distribution, and that the standard deviation of Set X is 2, while the standard deviation of Set Y is 3. Then,
A) Set X contains a larger amount of data than set Y.
B) The curve for Set Y is more flattened and spread out than the curve for Set X.
C) The variance for both sets of data will be the same.
D) The curve for Set X is more flattened and spread out than the curve for Set Y.
E) Set Y contains a larger amount of data than set X.

Question

Quizplus · Accepted Answer

The standard deviation is a measure of the dispersion or spread of a distribution. A larger standard deviation means the data points are spread out more widely from the mean, resulting in a flatter and more spread out curve. Therefore, since Set Y has a larger standard deviation (3) compared to Set X (2), its curve will be more flattened and spread out.

Suppose That Two Sets of Data Conform to a Normal