Exam Grades

Consider the grades on a recent exam.

95 92 91 90 87 86 82 81 81 79 77 77 77 76 69 65 63 56 32 29

1. Before doing anything, do you expect the mean exam score to be higher or lower than the median? Explain briefly.

2. Based on the stem and leaf plot given belowdescribe completelythe distribution of the exam grades.

2 | 9

3 | 2

4 |

5 | 6

6 | 3 5 9 6|3 = 63 points

7 | 6 7 7 7 9

8 | 1 1 2 6 7

9 | 0 1 2 5

3. Find themean, 10% trimmed mean, 5 - number summary (OF THE WHOLE DATA SET), standard deviation (WHOLE SET)andIQR (WHOLE SET) for the exam grades data: SHOW WORK

4. Refer to the box and whiskers plot given below. Considering our discussion of boxplots showing outliers, are there any outliers for this data? Explain.