2. Suppose the professor decides to adjust scores by adding 25 points to each student's score in the original data set. a. Find each of the following after the adjustment: Mean: Median : Standard deviation: z-score for a student who originally made 54 on the exam: b. Verify that the grade distribution histogram below represents the set of the scores. If it misrepresents the data set, state why. Comment on the shape of the distribution. Frequency Exam Scores for Difficult Exam 19 15 10 5 0-59 60-60 70 70 80-89 > 90 Grade Intervals 3. Suppose the professor wants the final scores to have a mean of 75 and a standard deviation of 8