Show all your work to get full credit

(Show all your work to get full credit.)

1. (16 pts) Supose your six exam grades in a course are

52, 69, 75, 86, 86, and 92

Compute your final course grade (90-100= A, 80-89 = B, 70-79 = C, 60-69 =D, below 60 = F) using the

a. Mean

b. Median

2. (16 pts) A teacher gives a 20-point test to 10 students. The scores are shown here. Find the percentile rank of a score of 12.

18, 15, 12, 6, 8, 2, 3, 5, 20, 10

3. (16 pts) The number of meteorites found in 10 of the United States is

89, 47, 164, 296, 30, 215, 138, 78, 48, and 39

Construct a boxplot for the data.

4. (18 pts) Find the sample variance and standard deviation for the amount of European autosales for a sample of 6 years shown. The data are in millions of dollars.

11.2, 11.9, 12.0, 12.8, 13.4, 14.3

5. (16 pts) How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8 dramas to be presented during the year?

6. (18 pts) In a club there are 7 women and 5 men. A committee of 3 women and 2 men is to be chosen. How many different possibilities are there?