Question

Professor Cory was disappointed with the scores on the most recent exam. Thirty students took the exam, and scores ranged from 35 to 89, with an average of 63.9 and a standard deviation of 9.2. To make the scores more appealing, Corey decided to “apply a curve” and add 15 points to all scores.

1. What will be the sample mean of the curved scores?

2. What will be the range of the curved scores?

3. What will be the standard deviation of the curved scores?

4. Upon double-checking the grading, Corey discovers a mistake in the grading of the exam which scored 35 and changes the score on that exam to 40. Although this is still the lowest score in the class, Corey is pleased to have caught and corrected the mistake. After this correction, what will be the sample mean of the scores before applying the curve?

5. How will this correction change the standard deviation? (1) The standard deviation will go down, (2) the standard deviation will not change, (3) the standard deviation will increase, or (4) there is no way to tell.

Answer 1