1342. Note on Ch.2
Organizing Qualitative Data into a Frequency Distribution
Problem1: A physical therapist wants to get a sense of the types of rehabilitation
required by her patients. She obtains a simple random sample of 30 of her patients and records
the body part requiring rehabilitation. (Given in table below)
Back
Wrist
Elbow
Back
Hip
a.
b.
c.
d.
Back
Hand
Neck
Knee
Back
Groin
Shoulder
Shoulder
Back
Back
Back
Back
Shoulder
Shoulder
Knee
Knee
Knee
Hip
Hand
Back
Construct a frequency distribution of location of injury.
Frequency bar graph
Relative frequency bar graph
Construct pie chart.
Knee
Back
Back
Back
Wrist
Organizing Quantitative Data into a Frequency Distribution
Problem2: Table below shows Three-Year rate of return of Mutual funds. Construct a
frequency table with 8 classes. Add relative frequency to the table. Construct a histogram for
the table.
13.50
14.47
14.14
13.51
15.70
13.16
12.29
12.77
15.44
13.28
10.53
13.92
19.74
15.10
23.76
14.74
16.16
12.76
17.13
22.68
13.20
12.07
13.34
12.37
14.81
1
12.24
10.99
11.32
16.34
23.54
12.61
15.07
15.41
11.34
19.65
19.11
10.06
17.37
10.57
14.07
Problem3. The following data represent glucose levels (mg/100ml) after a 12hour fast for a random sample of 70 women. Make stem and leaf for these data.
Also construct a frequency table with six classes.
45
66
83
71
76
64
59
59
76
82
80
81
85
77
82
90
78
72
79
69
83
71
87
69
81
76
96
83
67
94
101
94
89
94
73
99
93
85
83
80
78
80
85
83
84
74
81
70
65
89
70
80
84
77
65
46
80
70
75
45
101
71
109
73
73
80
72
81
63
74
2
Problem4. The following data represent the percentage of people without health
insurance for 50 states and the District of Columbia in 2006.
(a) Construct a frequency distribution.
(b) Construct a relative frequency distribution.
(c) Construct a frequency histogram of the data.
(d) Construct a relative frequency histogram of the data.
(e) Describe the shape of the distribution.
(f) Repeat parts (a)-(e) using a class width of 1.
15.2
9.4
15.4
21.9
20.8
15.5
18.9
13.7
13.5
16.5
12.1
14.0
9.3
13.3
22.9
17.9
24.5
8.8
20.9
11.6
11.8
13.8
17.1
14.0
10.0
17.4
14.6
18.9
21.2
10.5
12.3
17.9
8.6
12.2
18.8
17.7
12.3
10.5
19.6
12.2
15.9
13.3
3
17.2
8.9
15.6
9.2
11.5
10.1
11.8
11.8
Problem4. The following data represent the change in housing price index from the
third quarter of 2002 to the third quarter of 2007 for a random sample of 40 U.S. cities.
12.27
39.65
36.34
36.92
14.26
94.41
73.57
18.57
18.82
40.33
87.23
15.91
17.78
63.45
71.77
38.74
13.50
113.82
72.54
24.22
24.11
81.15
29.15
81.40
42.22
55.69
27.83
91.92
41.02
56.90
76.02
19.31
77.96
20.18
42.02
29.04
25.88
41.23
26.08
30.97
(a) Round each observation to the nearest whole percent and draw a stem-and-leaf
plot.
(b) Describe the shape of the distribution.
4