Use the following table for problems 1-10. The numbers represent the scores (in points) for a sample of 10 college basketball games:

35 66 49 32 57

31 57 39 41 33

1. Calculate the mean scorex of this distribution.

2. What is the median score of this distribution?

3. Which score is the modefor this distribution?

4. Calculate the range of scores for this distribution.

5. Calculate the mid-range score for this distribution.

6. Calculate the standard deviation (to the nearest tenth) for this distribution.

7. Construct a box plot for this distribution and clearly label the quartile boundaries. [Refer to Figure 3-6 on page 116 to help you determine Q1 and Q3.]

8. Calculate the "z-score" (to two decimal places) for the game in which 66 points were scored.

9. Would it be unusual for a game to have 25 points scored? Justify your answer in terms of the z-score.

10. Calculate the percentile corresponding to 41 points scored.