[See Solution] A. A sample of 8 exam scores yielded the following results: 77 84 81 70 66 73 74 45 Calculate the mean and median of the sample of exam scores.
Question: A. A sample of 8 exam scores yielded the following results:
77 84 81 70 66 73 74 45
Calculate the mean and median of the sample of exam scores.
B. Which of the two measures of center you calculated would be a more accurate representation of center? Why.
C. TRUE OR FALSE The standard deviation is the resistant measure of spread.
D. Suppose the person with the highest score was caught cheating and was therefore given a zero. After this change, what could you expect of the mean and median?
- The new mean would be unaffected because it is a measure of exact center
- The new median would be only slightly affected because it is a measure of exact center
- The new median would decrease by 84
- The new mean would decrease by 84
E. If the professor wanted to curve the scores and added 10 points to each score, the standard deviation of the sample of 8 new scores would:
-
stay the same b. increase by 10
c. decrease by $10 \quad$ d. increase by $1.25$, since there are 8 data values.
F. Assuming we made the grade change in part D, use the $1.5 \mathrm{X}$ IQR criterion to identify any outliers in the data set. If there are any, list them.
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