STAT 200 Week 2 Homework Problems
2.2.2
The median incomes of females in each state of the United States, including the District of
Columbia and Puerto Rico, are given in table #2.2.10 (“Median income of,” 2013). Create a
frequency distribution, relative frequency distribution, and cumulative frequency distribution
using 7 classes.
Table #2.2.10: Data of Median Income for Females
$31,862
$60,332
$33,269
$29,548
$42,113
$41,412
$40,993
$40,550
$33,823
$32,684
$33,865
$33,459
$31,330
$29,688
$36,048
$35,438
$31,844
$31,067
$32,462
$31,329
$35,890
$30,752
$37,242
$34,599
$33,424
$35,746
$33,184
$34,381
$41,817
$31,238
$48,748
$35,484
$31,274
$35,301
$40,236
$39,150
$46,185
$41,021
$36,027
$32,843
$47,476
$34,023
$36,931
$47,155
$37,089
$38,177
$40,500
$33,745
$40,416
$32,316
$22,117
$40,969
2.2.6
Create a histogram and relative frequency histogram for the data in table #2.2.10. Describe the shape
and any findings you can from the graph.
2.2.10
Create an ogive for the data in table #2.2.10. Describe any findings you can from the graph.
2.3.4
Table #2.3.7 contains the value of the house and the amount of rental income in a year that the house
brings in (“Capital and rental,” 2013). Create a scatter plot and state if there is a relationship between
the value of the house and the annual rental income.
Table #2.3.7: Data of House Value versus Rental
Value
81000
95000
121000
135000
145000
165000
178000
200000
214000
240000
Rental
6656
7904
12064
8320
8320
13312
11856
12272
8528
10192
Value
77000
94000
115000
130000
140000
165000
174000
200000
208000
240000
Rental
4576
8736
7904
9776
9568
8528
10400
10608
10400
12064
Value
75000
90000
110000
126000
140000
155000
170000
194000
200000
240000
Rental
7280
6240
7072
6240
9152
7488
9568
11232
10400
11648
Value
67500
85000
104000
125000
135000
148000
170000
190000
200000
225000
Rental
6864
7072
7904
7904
7488
8320
12688
8320
8320
12480
289000
325000
11648
12480
270000
310000
12896
12480
262000
303000
10192
12272
244500
300000
11232
12480
2.3.8
The economic crisis of 2008 affected many countries, though some more than others. Some people in
Australia have claimed that Australia wasn’t hurt that badly from the crisis. The bank assets (in billions
of Australia dollars (AUD)) of the Reserve Bank of Australia (RBA) for the time period of March 2007
through March 2013 are contained in table #2.3.11 (“B1 assets of,” 2013). Create a time-series plot and
interpret any findings.
Table #2.3.11: Data of Date versus RBA Assets
Date
Mar-2006
Jun-2006
Sep-2006
Dec-2006
Mar-2007
Jun-2007
Sep-2007
Dec-2007
Mar-2008
Jun-2008
Sep-2008
Dec-2008
Mar-2009
Jun-2009
Sep-2009
Dec-2009
Mar-2010
Jun-2010
Sep-2010
Dec-2010
Mar-2011
Jun-2011
Sep-2011
Dec-2011
Mar-2012
Jun-2012
Assets in
billions of
AUD
96.9
107.4
107.2
116.2
123.7
134.0
123.0
93.2
93.7
105.6
101.5
158.8
118.7
111.9
87.0
86.1
83.4
85.7
74.8
76.0
75.7
75.9
75.2
87.9
91.0
90.1
Sep-2012
Dec-2012
Mar-2013
83.9
95.8
90.5
3.1.2
The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific
Ocean are listed in table #3.1.8 (Lee, 1994). Find the mean, median, and mode.
Table #3.1.8: Lengths of Rivers (km) Flowing to Pacific Ocean
River
Clarence
Conway
Waiau
Hurunui
Waipara
Ashley
Waimakariri
Selwyn
Rakaia
Ashburton
Length
River
(km)
209
Clutha
48
Taieri
169
Shag
138
Kakanui
64 Rangitata
97
Ophi
161
Pareora
95
Waihao
145
Waitaki
90
Length
(km)
322
288
72
64
121
80
56
64
209
3.1.8
State which type of measurement scale each represents, and then which center measures can
be use for the variable?
a.) You collect data on the height of plants using a new fertilizer.
b.) You collect data on the cars that people drive in Campbelltown, Australia.
c.) You collect data on the temperature at different locations in Antarctica.
d.) You collect data on the first, second, and third winner in a beer competition.
3.1.12
An employee at Coconino Community College (CCC) is evaluated based on goal setting and
accomplishments toward goals, job effectiveness, competencies, CCC core values. Suppose for a specific
employee, goal 1 has a weight of 20%, goal 2 has a weight of 20%, goal 3 has a weight of 10%, job
effectiveness has a weight of 25%, competency 1 has a goal of 4%, competency 2 has a goal has a weight
of 3%, competency 3 has a weight of 3%, competency 4 has a weight of 5%, and core values has a weight
of 10%. Suppose the employee has scores of 2.0 for goal 1, 2.0 for goal 2, 4.0 for goal 3, 3.0 for job
effectiveness, 2.0 for competency 1, 3.0 for competency 2, 2.0 for competency 3, 3.0 for competency 4,
and 4.0 for core values. Find the weighted average score for this employee. If an employee that has a
score less than 2.5, they must have a Performance Enhancement Plan written. Does this employee need
a plan?
3.2.2
The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific
Ocean are listed in table #3.2.9 (Lee, 1994).
Table #3.2.9: Lengths of Rivers (km) Flowing to Pacific Ocean
River
Length River
Length
(km)
(km)
Clarence
209
Clutha
322
Conway
48
Taieri
288
Waiau
169
Shag
72
Hurunui
138
Kakanui
64
Waipara
64
Waitaki
209
Ashley
97
Waihao
64
Waimakariri
161
Pareora
56
Selwyn
95 Rangitata
121
Rakaia
145
Ophi
80
Ashburton
90
a.) Find the mean and median.
b.) Find the range.
c.) Find the variance and standard deviation.
3.2.6
Print-O-Matic printing company spends specific amounts on fixed costs every month. The costs
of those fixed costs are in table #3.2.13.
Table #3.2.13: Fixed Costs for Print-O-Matic Printing Company
Monthly charges
Monthly
cost ($)
Bank charges
482
Cleaning
2208
Computer expensive
2471
Lease payments
2656
Postage
2117
Uniforms
2600
a.) Find the mean and median.
b.) Find the range.
c.) Find the variance and standard deviation.
