Answer for 4/5/10 Review Problems 5 and 6.

Note that V, A, <, and > represent down, up, left, and right arrows,
respectively.

                                  Median for 5(a):
Histogram for Problem 4(a):       Bar 3 contains the median.  Here is the
                                  interpolation diagram for bar 3:
Cumulative Percentages:                     44.4
     0%  11.1% 44.4% 88.8% 100%   +----------------------+    x-2   16.7
     V     V     V     V     V    | 16.7                 |    --- = ----
4 +              +-----+          | +---+                |     1    44.4
  |              |     |          | |   |                |
3 +        +-----+     |          V V   V                V    x-2 = 0.375
  |        |     |     |         33.3  50.0             66.6  x = 2.375, so
2 +        |     |     |          +------+---------------+    Q2 = 2.375.
  |        |     |     |          |      |               |
1 +  +-----+     |     +-----+    |      |               |
  |  |11.1 |33.3 |44.4 |11.1 |    |      |               |
0 +  +-----+-----+-----+-----+    +------+---------------+
     0     1     2     3     4   2.0     x              3.0
                                 A A     A               A
                                 | |     |               |
                                 | +-----+               |
                                 |   x-2                 |
                                 +-----------------------+
                                             1.0

                                  Median for 5(b):
Histogram for Problem 4(b):      Bar 2 contains the median.  Here is the
                                  interpolation diagram for bar 2:
Cumulative Percentages:                      57.14 
     0%  27.57%85.71% 100%        +----------------------+    x-1   21.43 
     V     V     V     V          |  21.43               |    --- = -----
4 +        +-----+                | +-----+              |     1    57.14 
  |        |     |                | |     |              |
3 +        |     |                V V     V              V    x-1 = 0.375
  |        |     |              28.57    50.0          85.71  x = 1.375, so
2 +  +-----+     |                +--------+-------------+    Q2 = 1.375.
  |  |     |     |                |        |             |
1 +  |     +     |   14.54        |        |             |
  |  |28.57|57.14+-----------+    |        |             |
0 +  +-----+-----+-----+-----+    +--------+-------------+
     0     1     2     3     4   1.0       x            2.0
                                 A A       A             A
                                 | |       |             |
                                 | +-------+             |
                                 |    x-1                |
                                 +-----------------------+
                                             1.0
Histogram for Problem 4(c):
Cumulative Percentages:          Median for 5(c):
    0%    20%   60%90%100%       Bar 2 contains the median.  Here is the
    V      V     V  V  V          interpolation diagram for bar 2:
6 +              +--+
  |              |  |                         40 
5 +              |  |             +----------------------+    x-1   30 
  |              |  |             |        30            |    --- = --
4 +        +-----+  |             | +--------------+     |     1    40
  |        |     |  |             | |              |     |
3 +        |     |  |             V V              V     V    x-1 = 0.75
  |        |     |  |             20              50    60    x = 1.75, so
2 +  +-----+     |  +--+          +----------------+-----+    Q2 = 1.75.
  |  |     |     |  |  |          |                |     |
1 +  | 20  | 40  |30|10|          |                |     |
  |  |     |     |  |  |          |                |     |
0 +  +-----+-----+--+--+          +----------------+-----+
     0     1     2     3         1.0               x    2.0
                                 A A               A     A
                                 | |               |     |
                                 | +---------------+     |
                                 |         x-1           |
                                 +-----------------------+
                                             1.0