Chapter 2 Solutions:
Section 2.1:
1.)
Eyeglassomatic mostly receives finished eyeglasses, though they make the frames
almost as often. They don’t appear to assemble too many eyeglasses.
Number of lenses made
Eyeglass Processes Performed by
Eyeglassomatic
30000
25000
20000
15000
10000
5000
0
grind
multicoat assemble
make
frames
Process Type
receive
finished
unknown
Eyeglass Processes Performed by
Eyeglassomatic
unknown
2%
receive
finished
30%
grind
21%
multicoat
13%
make frames
29%
2.)
-
assemble
5%
3.)
The region with the most deaths from CO while using a generator is the urban
region. The other three regions seem to have the similar number of deaths.
Number of Deaths from CO While
Using a Generator
Number of deaths
500
400
300
200
100
0
Urban Core
Sub-Urban
Large Rural
Small
Rural/Isolated
Region
Percentage of Deaths from CO
While Using a Generator
Small
Rural/Isolated
16%
Large Rural
12%
Urban Core
58%
Sub-Urban
14%
4.)
-
5.)
The most common defect on a lens made by Eyeglassomatic is scratch with right
shaped - small as the next common defect. Then the defects drop off from there.
So Eyeglassomatic may want to figure out what is wrong in their production that
causes so many scratches.
Number of Defective Lenses
Defective Lenses Made by
Eyeglassesomatic
7000
6000
5000
4000
3000
2000
1000
0
Defect Type
6.)
-
7.)
In most countries in Central America, female sterilization is the most common
contraceptive method expect for in Costa Rica, where the pill is most common.
The pill is the second most popular method except in Costa Rica and in
Guatemala. Male sterilization appears to be the least popular method of
contraceptive.
Section 2.2:
1.)
The number of classes is 7. So the class width is
66760 - 22529
» 6318.7 » 6319
7
Class
Class limit Class
Frequency
boundary
1
2252922528.51
28847
28847.5
2
2884828847.50
35166
35166.5
3
3516735166.58
41485
41485.5
4
4148641485.524
47804
47804.5
Relative
frequency
0.019
Cumulative
frequency
1
0
1
0.154
9
0.462
33
5
4780554123
5412460442
6044366761
6
7
4.)
5.)
lass width is
630 - 2
= 78.5 » 79
8
Class
Class limit
14
0.269
47
2
0.038
49
3
0.058
52
Class
boundary
1.5-80.5
80.5-159.5
159.5-238.5
238.5-317.5
317.5-396.5
396.5-475.5
475.5-554.5
554.5-633.5
Frequency
Relative
frequency
0.696
0.143
0.054
0
0.054
0.018
0
0.036
Cumulative
frequency
39
47
50
50
53
54
54
56
1
2-80
39
2
81-159
8
3
160-238
3
4
239-317
0
5
318-396
3
6
397-475
1
7
476-554
0
8
555-633
2
appears to be somewhat symmetric. There appears to be a gap for the midpoint of
$32007. This could mean that the lowest state has a really low income or it is a
mistake.
Median Income for Males
30
25
Frequency
2.)
3.)
47804.554123.5
54123.560442.5
60442.566761.5
20
15
10
5
0
25688
32007
38326
44645
50964
Median Income in $
57283
63602
Relative Frequency
Median Income for Males
0.5
0.45
0.4
0.35
0.3
0.25
0.2
0.15
0.1
0.05
0
25688
32007
38326 44645 50964
Median Income in $
57283
63602
6.)
-
7.)
The distribution appears skewed right. There are gaps at two places. This may be
because certain densities do not exist.
Frequency
Density of People
45
40
35
30
25
20
15
10
5
0
41
120
199
278
357
436
Density per square kilometer
515
594
515
594
Density of People
Relative Frequency
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
41
120
199
278
357
436
Density in square kilometers
8.)
-
9.)
In 40 out of 52 states, the median income of males is less than $50,000.
Median Income for Males
Cumulative Frequency
60
50
40
30
20
10
0
20000
30000
40000
50000
Median Incom in $
60000
70000
10.)
-
11.)
The majority of people live in areas with density less than 200 people per square
kilometer.
Density of People
Cumulative Frequency
60
50
40
30
20
10
0
0
100
200
300
400
500
Density per square kilometer
600
700
12.)
-
13.)
For grades, it makes sense to divide the data into groupings of every 10.
Class
1
2
3
4
5
Class Limits
50-59
60-69
70-79
80-89
90-99
Class Boundaries
49.5-59.5
59.5-69.5
69.5-79.5
79.5-89.5
89.5-99.5
Midpoints
55
65
75
85
95
Frequency
1
1
12
8
3
Grades on Test 1
14
Frequency
12
10
8
6
4
2
0
55
65
75
Grades
85
95
Most of the students earned C’s on the test. The shape is mostly skewed left.
14.)
1.)
est 1 data is:
Test Scores
5
8 = 58%
5
8
6
7
7
003344599999
8
00013589
9
334
2.)
3.)
a postive linear relationship between the height of a person and the length of the
metacarpal.
Height of a Person
Height versus Metacarpal
200
180
160
140
120
100
80
60
40
20
0
35
40
45
Length of Metacarpal
50
55
4.)
-
5.)
There appears to be a negative linear relationship between fertility rate and life
expectancy of woman.
Fertility Rate
Fertility Rate versus Life
Expectancy
8
7
6
5
4
3
2
1
0
50
55
60
65
70
Life Expectancy
75
80
85
6.)
-
7.)
Over the time period the rate of deaths from firearms was decreasing.
Number of deaths (per 100,000
people)
Rate of Deaths from Firearms
5
4.5
4
3.5
3
2.5
2
1.5
1
0.5
0
1980
1985
1990
Year
1995
2000
8.)
-
9.)
The CPI-U-RSI index has been increasing at an exponential rate from 1947 to
2011.
CPI-U-RS1 Index (December
1977=100)
CPI-U-RSI Index
350
300
250
200
150
100
50
0
0
10
20
30
40
50
Time (year 0 = 1945)
60
70
10.)
-
11.)
This graph has no scaling on the vertical axis. So even though it is possible to see
which drink is liked best, you do not have an idea of how much more one drink is
liked over the other.
This graph has no axes labels, so you do not have a context. In addition, the
vertical axis does not start at 0, which makes the differences between values more
dramatic than they really are.
-
12.)
13.)
14.)