Scores on an exam had a mean of 75 and a standard deviation of 5. Which of the following statements is most likely to be true about the distribution of scores on the exam?
A) all the students scored within 5 points of the mean
B) all the students scored more than 5 points below or more than 5 points above the mean
C) all the students scored exactly 5 points below or above the mean
D) students scored an average of 5 points from the mean but some students were closer than that to the mean and some were further than that from the mean

Question

Quizplus · Accepted Answer

The standard deviation of 5 indicates that there is variability in the scores. Some students may have scored above the mean by more than 5 points, while others may have scored below the mean by more than 5 points. Therefore, option D is the most likely choice.

Scores on an Exam Had a Mean of 75 and a Standard