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 | |

| | |

| | |

| | |

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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 |

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Fat Percentage

Frequency

Number of cases

0

Age

Fat %

Smoke

Yes No

Male

Female

Year

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