Ch. 11 Page 644 Extra Credit Answer Key

Show work for full credit!

1. Grade Point Average
     1 | 8
     2 | 4 5 8
     3 | 0 2 2 2 5 8 9 9
 
Make a histogram with title:    Grade Point Average
The intervals across the bottom might be:  0.1-1.0, 1.1-2.0, 2.1-3.0, 3.1-4.0
The horizontal axis should be labeled GPA

2.  Video Game Scores
     52 | 2 9
     53 | 1 1 8
     54 | 0 2 8
     55 |
     56 | 2 4 6

Make a histogram with title:  Video Game Scores
The intervals across the bottom might be:  520-529, 530-539, 540-549, 550-559, 560-569
The horizontal axis should be labeled SCORES

3.
lower quartile:  10.99
median:  15.99
upper quartile:  20.99 
     <-|---|---|---|---|---|---|---|---|---|---|-->
        8  10  12 14 16 18 20  22 24  26 28
The box and whisker should have the lowest number (9.99), the 3 quartile numbers from above, and the highest number (26.99) labeled.  The box goes through the 3 quartile numbers from above.

4.  Sample Answer:  T-shirt sizes:  S, M, L, XL, XXL, XXXL and types of fish in an aquarium;
Bar graphs and Circle graphs

5.  OMIT
6.  OMIT

7.  600/2000 = 0.3 = 30%;
So, 30% of 290,000,000 is about 87,000,000 Americans

8.  4! = 4∙3∙2∙1 = 24
9.  6! = 6∙5∙4∙3∙2∙1 = 720
10.  ₅P₂ = 5!  = 5∙4 = 20
                 3!
11.  ₈P₄ = 8! = 8∙7∙6∙5 = 1680
                 4!
12.  ₉P₄ = 9! = 9∙8∙7∙6 = 3024
                 5!
13.  ₃C₁ =   3!
                   2!      =   3  = 3
                   1!           1 
14.  ₆C₆ =    6!
                    0!      =  6∙5∙4∙3∙2∙1 = 1
                   6!           6∙5∙4∙3∙2∙1
15.  ₅C₀ =    5!
                    5!       =     1    = 1
                    0!              1
16.  Permutations (just use the counting principal);  6∙5∙4∙3∙2∙1 = 720  or ₆P₆ = 720
17.  Combinations; ₁₂C₄ =     12!    
                                                8!         =   12∙11∙10∙9  = 495 ways
                                               4!                   4∙3∙2∙1