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# Summarizing Categorical Data

A large business school conducted a study of graduation rate for their students. Out of 408 entering students in 1995, 55% had graduated within 6 years. Data for a random sample of 56 students are given below. `AGE' was their age upon entering the program, `HS GPA' was their cumulative high school GPA, `DORM'=1 means they lived in a dorm during their first year in college, `GPA2' was their college GPA after two years of college, and `GRAD6'=1 means they graduated within 6 years of starting college.

The variables MAJOR, SEX, DORM, and GRAD6 are categorical . The variables AGE, HS GPA, and GPA2 are numerical .

```                         GRADUATION RATE DATA

STUDENT  MAJOR    SEX    AGE    HS GPA   DORM    GPA2    GRAD6

1     GBS      M      18     2.72      1     3.40      0
2     GBS      F      18     3.20      1     1.35      0
3     MGT      M      18     3.21      1     3.27      1
4     ACT      M      18     3.51      1     2.87      1
5     ACT      F      18     3.58      1     2.93      0
6     ACT      F      18     3.60      1     2.94      1
7     MGT      M      18     2.91      1     0.46      0
8     ACT      F      18     3.14      1     2.70      0
9     ACT      F      34     2.60      0     2.84      0
10     GBS      M      18     2.93      1     2.22      0
11     GBS      F      18     3.83      1     3.10      1
12     ACT      M      18     3.86      1     3.06      0
13     GBS      F      18     3.16      1     2.61      0
14     GBS      F      18     3.44      1     3.02      0
15     GBS      F      18     2.63      1     1.83      0
16     ACT      F      18     3.77      1     2.99      0
17     GBS      F      18     2.79      1     2.93      1
18     GBS      M      18     4.00      1     3.78      0
19     GBS      M      18     3.76      1     3.01      1
20     GBS      M      18     3.57      1     3.08      1
21     GBS      M      18     2.94      1     1.94      0
22     GBS      M      18     3.32      1     3.59      1
23     ACT      F      19     2.55      0     2.49      1
24     MGT      M      19     2.43      1     2.38      1
25     ACT      M      18     2.78      1     1.27      0
26     ACT      M      18     3.72      1     3.47      1
27     ACT      F      17     3.76      0     3.00      0
28     MGT      M      17     3.36      1     3.63      1
29     GBS      M      18     2.57      1     1.18      0
30     GBS      M      18     2.90      1     2.16      0
31     ACT      M      18     3.36      1     3.40      1
32     GBS      M      18     3.54      1     2.85      0
33     GBS      F      18     2.81      1     3.00      1
34     MGT      M      18     2.78      1     2.63      0
35     GBS      M      18     2.46      1     2.19      0
36     GBS      M      18     2.60      0     2.54      0
37     MKT      M      18     3.08      1     3.22      0
38     MGT      M      18     2.78      1     2.75      1
39     ACT      M      18     2.71      1     2.02      0
40     GBS      M      18     2.61      1     2.42      1
41     GBS      M      18     2.37      1     2.19      1
42     MKT      M      18     3.33      1     3.48      1
43     ACT      F      18     3.54      1     2.91      1
44     GBS      M      17     3.36      1     3.22      1
45     ACT      M      18     3.35      1     2.16      1
46     GBS      M      17     2.82      1     2.35      1
47     GBS      F      18     2.75      1     2.10      0
48     GBS      M      19     2.59      1     1.77      0
49     MKT      M      18     2.67      0     1.78      0
50     MKT      M      18     3.19      1     2.71      1
51     MGT      F      18     3.62      1     3.33      1
52     GBS      F      18     2.81      1     1.82      0
53     ACT      F      18     3.73      1     2.79      0
54     MGT      M      18     2.60      1     2.87      0
55     GBS      F      19     2.58      1     2.34      1
56     GBS      M      18     3.29      1     2.99      1
```

2003-09-08