MAT 213 – Homework # 2
1. A recent statistics exam yielded the following 25 scores. Construct a grouped
frequency distribution with the class limits shown below.
61 90 79 57 63
55 83 70 62 95
90 83 41 72 85
76 82 75 94 57
72 72 46 81 93
Class Limits
41-50
51-60
61-70
71-80
81-90
91-100
Tally
Frequency
Find
a. the lower class limit of the third class
b. The midpoint of the second class
c. The upper class boundary of the fourth class
2. The heights in inches of commonly grown herbs are shown. Organize the data into a
frequency distribution with six classes.
19
14
20
20
18 18
18 24
24
18
10
16
15
16
12
20
20
17
36 31
22 32
22
25
31
32
14
22
3. For 76 employees of a large department store, the following distribution for years of
service was obtained. Construct a histogram, frequency polygon, and ogive for the data.
Class limits
1–5
6 – 10
11 – 15
16 – 20
21 – 25
26 – 30
Frequency
21
25
15
1
8
6
4. Construct a pareto chart for the number of homicides (rate per 100, 000
population) reported for the following states.
State
Number of homicides
Connecticut
Maine
New Jersey
Pennsylvania
New York
4.1
2.0
4.0
5.3
5.1
5. Draw a time series graph to represent the date for the number of airline departure ( in
millions) for the given years. Over the years, is the number of departure increasing,
decreasing, or about the same?
Year
1996
Number
8.9
of
departure
1997
9.9
1998
10.5
1999
10.9
2000
11.0
2001
9.8
2002
10.1
6. The following elements comprise the earth’s crust, the outermost solid layer. Illustrate
the composition of the earth’s crust with a pie graph.
Oxygen
45.6%
Silicon
27.3%
Aluminum
8.4%
Iron
6.2%
Calcium
4.7%
Other
7.8%
7. The national Insurance Crime Bureau reported that these data represent the number of
registered vehicles per car stolen for 35 selected cities in the United States. For example,
in Miami, 1 automobile is stolen for every 38 registered vehicles in the city. Construct a
stem and leaf plot for the data and analyze the distribution.
28
41
50
50
92
53
58
71
70
84
56
68
83
83
87
69
66
81
59
84
89
69
80
75
85
94
89
90
78
84
53
52
74
73
89
8. Find the mean, the median, the mode, and the midrange.
2 12 48 9 108 3 22 55 66 77 88 99 80 9
9. Find the class with the least number of data values.