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.

- Find the rank of the median of the data set (median
locator).

Use the formula n/2 + .5 or the formula (n + 1)/2 - Use the median locator to find the median.
- 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. - Use the quartile locator to find the first quartile.
- Use the quartile locator to find the rank of the third quartile
of the data set.

Use the formula (n + 1) - (quartile locator). - Find the third quartile.
- Compute the inter-quartile range. Use the formula IQR = Q
_{3}- Q_{1}. - Find the step by multiplying1.5 times the IQR.
- Find the lower fences. Q
_{1}- step = inner lower fence. Inner lower fence - step = outer lower fence. - Find the upper fences. Q
_{3}+ step = inner upper fence. Inner upper fence + step = outer upper fence. - Find the adjacent points. These are the values closest to the fence from the inside.
- Find any outliers. Outliers between the fences are marked
with an o.

Outliers outside the outer fence are marked with an x. - Draw a reasonable number line and represent the data with a box-and-whisker plot.

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 |