A professor who has two sections of the same course gives an exam.Both classes have the same mean score on the exam.However,in Class A most students scored relatively close to the mean,while in Class B many students scored either much higher or much lower than the mean.Which statement best describes the distribution of grades for the two classes?
A) the standard deviation will be the same for the two classes
B) the standard deviation will be larger for Class A than for Class B
C) the standard deviation will be smaller for Class A than for Class B
D) not enough information is provided to draw any conclusion regarding the standard deviation

Question

Quizplus · Accepted Answer

Class A has a distribution that is more clustered around the mean, indicating a smaller standard deviation. Class B has a distribution that is more spread out and has more variability, indicating a larger standard deviation. Therefore, the standard deviation will be smaller for Class A than for Class B.

A Professor Who Has Two Sections of the Same Course