A smaller standard deviation of a normal distribution indicates that the distribution becomes:
A)more skewed to the left.
B)flatter and wider.
C)narrower and more peaked.
D)symmetrical.

Question

Quizplus · Accepted Answer

A smaller standard deviation means that the data points are closer to the mean, resulting in a narrower and more peaked distribution. Option A is incorrect because skewness has nothing to do with the standard deviation of a normal distribution. Option B is incorrect as the standard deviation does not affect the shape of the distribution in terms of flatness or width. Option D is also incorrect as normal distributions are always symmetrical.

A Smaller Standard Deviation of a Normal Distribution Indicates That