Box-and-Whisker plots

Complete the tasks a through m for each of the data sets listed in #1 to 3 below. 
Use Tukey's diagram to organize your work.

  1. Find the rank of the median of the data set (median locator). 
    Use the formula n/2 + .5 or the formula (n + 1)/2
  2. Use the median locator to find the median.
  3. Find the rank of the first quartile of the data set (quartile locator). 
    Use the median locator method on the number of pieces of data below the median.
  4. Use the quartile locator to find the first quartile.
  5. Use the quartile locator to find the rank of the third quartile of the data set. 
    Use the formula (n + 1) - (quartile locator).
  6. Find the third quartile.
  7. Compute the inter-quartile range. Use the formula IQR = Q3 - Q1.
  8. Find the step by multiplying1.5 times the IQR.
  9. Find the lower fences.  Q1 - step = inner lower fence.   Inner lower fence - step = outer lower fence.
  10. Find the upper fences.  Q3 + step = inner upper fence.   Inner upper fence + step = outer upper fence.
  11. Find the adjacent points.  These are the values closest to the fence from the inside.
  12. Find any outliers.  Outliers between the fences are marked with an o. 
    Outliers outside the outer fence are marked with an x.
  13. Draw a reasonable number line and represent the data with a box-and-whisker plot.
1) The following data set represents test scores for 30 students in an English course.
24
31
38
49
51
55
56
59
62
63
65
66
69
72
72
74
76
81
84
84
86
86
86
88
88
88
91
91
92
99

2) The following data set represents the induction age for 26 members of the NBA Hall of Fame. 
84
77
67
94
90
77
79
81
56
89
77
88
72
93
74
76
28
80
58
94
66
77
89
81
78
93





3) The following data set represents earnings for 25 different stocks over the last year. 
Negative numbers represent losses.
5
-52
-27
-83
8
-14
-122
-110
112
58
-119
33
18
-52
-19
12
-81
14
25
-182
-40
64
-56
5
13