Exploratory Analysis (Human Age and Fatness)
Organize and Display Data
In a study of measuring body composition, a random sample gave the age, body fat percentage (fat %), gender and smoking habit for normal adults aged between 23 and 66 years.
Age % Fat Gender Smoke
23 9.5 M Y
27 17.8 M Y
41 25.9 F N
43 28.2 F N
45 23.1 F Y
45 27.4 M N
49 25.2 F Y
50 31.1 F N
53 28.5 M N
54 42.0 F Y
55 28.0 M N
56 32.5 F N
57 30.3 F N
57 31.0 M N
58 33.8 M Y
58 39.8 M N
60 41.1 F N
61 34.5 F Y
66 36.7 M Y
23 27.9 F Y
39 31.4 F N
48 31.7 M N
46 26.9 M N
53 34.7 F N
54 29.1 F N
56 30.2 M Y
58 33.0 F Y
59 27.3 M N
63 7.4 F N
27 7.8 M N
Use this data to answer questions 1 – 6 in the following pages, use the data in question 7 to do question 7.
Download and print the assignment and complete the questions by hand.
Submission Methods: You may submit the assignment by
1) scanning a copy and submitting the scanned file through WebCT Assignment Dropbox, or
2) deliver a hard copy to math department main office Cushwa 1055 at YSU, or
3) fax a copy to YSU math department to the number (330) 941-3170, or
4) mail a hard copy to Dr. Chang, Mathematics & Statistics Department, YSU, Youngstown, OH 44555 with post mark no later than the due date.
(Do all the work by hand, not by computer.)
1. Make a frequency distribution table for the Fat % variable and then make a histogram to display the distribution of Fat % variable. (Use a class width of 5.)
|Class |Frequency |
| 5 to less than 10 | |
|10 to less than 15 | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
2. Make a frequency distribution table for the Smoke variable to see the frequency distribution of smokers and nonsmokers and then make a bar chart to display the distribution of Smoke variable.
|Class |Frequency |
| | |
| | |
3. Make a cluster bar chart to examine the correlation between gender and smoke variables. (Use the smoke variable as the category axis and gender variable as the cluster variable.)
4. Make a scatter plot to examine the correlation between Age and Fat percentage variables.
| | |
|1994 |5 |
|1995 |4 |
|1996 |6 |
|1997 |8 |
|1998 |11 |
|1999 |18 |
|2000 |25 |
|2001 |22 |
|2002 |15 |
|2003 |3 |
|2004 |6 |
-----------------------
Fat Percentage
Frequency
Number of cases
0
Age
Fat %
Smoke
Yes No
Male
Female
Year
................
................
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