AP Stats
Density & Bivariate
Name___________________
1. Use the data below to draw the histogram.
Class
1 - 10
10 - 30
30 - 50
50 - 90
90 - 150
Freq
28
22
31
20
24
Rel Freq
Density
2. Use the data below to draw the histogram.
Class
0-5
5 - 10
10 - 15
15 - 20
20 - 40
40 - 60
60 - 90
90 - 120
120 - 180
Freq
54
44
28
21
31
15
16
5
8
Rel Freq
Density
3. The following represents the commute time (in minutes) of working adults in San Luis
Obispo County, CA. Use the data to draw a histogram.
Commute
Time
0-5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 60
60 - 90
90 - 120
Frequency
5,200
18,200
19,600
15,400
13,800
5,700
10,200
2,000
2,000
4,000
2,100
2,200
4. The article “Fines and Administrative Actions Against U.S. Airlines” (USA Today,
3/13,2000) included the accompanying data on x = number of violations and y = total fines
(millions of dollars) for the period 1994 – 1998 for 10 major airlines. Construct and interpret
a scatterplot for this data.
Violations
Fines
430
1
679 1038
2.1
2.4
470
1.6
528
1.5
516
1.7
343
1.2
302
0.9
119
0.7
129
0.5
5. The following is based on an experiment in which they investigated how the behavior of
mozzarella cheese varied with temperature. In the data, x = temperature and y = elongation
(%) at failure of the cheese. Construct and interpret a scatterplot for this data.
x
y
59
118
63
182
68
247
72
208
74
197
78
135
83
132
6. Construct a time-series plot that shows the life expectancy at birth for males. Then use a
different color pen or pencil and construct the time-series plot for the life expectancy at
birt for females on the same graph.
Year
1940
1950
1960
1970
1980
1990
2000
Life Expectancy
Males Females
60.8
65.2
65.6
71.1
66.6
73.1
67.1
74.7
70
77.4
71.8
78.8
74.1
79.6
7. Construct a time-series plot that shows the percentage of households with a computer.
Year
1985
1990
1994
1995
1998
1999
2000
% with
computer
8.2
15
22.8
24.1
36.6
42.1
51