1) Two samples of students, from different sections of the same course, were given a test of basic mathematics skills.

Here are the scores:

9 a.m.: 7 9 14 2 9 5 13 5 12 5 4 8 14 8 12 9 6 5 7 9 10

11 a.m.: 13 3 13 5 3 1 10 5 3 15 7 10 4 2 7

For each section, find: a) the mean b) the median c) the range d) the sample standard deviation, s e) the five-number summary f) the interquartile range

g) Which section scored better as a whole? State clearly which of the features above (a through f) helped you decide.

h) Which section had the greater variation in scores? State clearly which of the features above (a through f) helped you decide.

i) Draw the boxplots side by side, on the same axes. Do these graphs lead you to the same conclusions you reached in g) and h)?

2) The salaries of 10 employees at a factory are given (in $1000's):

8 8 8 9 10 10 12 12 23 100

a) Explain why management's lawyer is justified in claiming that the average salary is $20,000 per year.

b) Explain why labor's lawyer is justified in claiming that the average worker makes $10,000 per year.

c) Which of these two claims is more correct, in your opinion? Explain why.

3) A study of the size of jury awards in civil cases (such as injury, product liability, and medical malpractice) in Chicago showed that the median award was about $8000. But the mean award was about $69,000. Explain how this great difference between the two measures of center can occur