# [Solution]Statistics Assignment

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…

2.2.2
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
\$40,550
\$36,048
\$30,752
\$41,817
\$40,236
\$47,476
\$40,500

\$60,332
\$33,823
\$35,438
\$37,242
\$31,238
\$39,150
\$34,023
\$33,745

\$33,269
\$32,684
\$31,844
\$34,599
\$48,748
\$46,185
\$36,931
\$40,416

\$29,548
\$33,865
\$31,067
\$33,424
\$35,484
\$41,021
\$47,155
\$32,316

\$42,113
\$33,459
\$32,462
\$35,746
\$31,274
\$36,027
\$37,089
\$22,117

\$41,412
\$31,330
\$31,329
\$33,184
\$35,301
\$32,843
\$38,177
\$40,969

\$40,993
\$29,688
\$35,890
\$34,381

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
Rental
Value
Rental
Value
Rental
Value
Rental

81000
6656
77000
4576
75000
7280
67500
6864

95000
7904
94000
8736
90000
6240
85000
7072

121000
12064
115000
7904
110000
7072
104000
7904

135000
8320
130000
9776
126000
6240
125000
7904

145000
8320
140000
9568
140000
9152
135000
7488

165000
13312
165000
8528
155000
7488
148000
8320

178000
11856
174000
10400
170000
9568
170000
12688

200000
12272
200000
10608
194000
11232
190000
8320

214000
8528
208000
10400
200000
10400
200000
8320

240000
10192
240000
12064
240000
11648
225000
12480

289000
11648
270000
12896
262000
10192
244500
11232

325000
12480
310000
12480
303000
12272
300000
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
Assets in billions of AUD

Mar-2006
96.9

Jun-2006
107.4

Sep-2006
107.2

Dec-2006
116.2

Mar-2007
123.7

Jun-2007
134.0

Sep-2007
123.0

Dec-2007
93.2

Mar-2008
93.7

Jun-2008
105.6

Sep-2008
101.5

Dec-2008
158.8

Mar-2009
118.7

Jun-2009
111.9

Sep-2009
87.0

Dec-2009
86.1

Mar-2010
83.4

Jun-2010
85.7

Sep-2010
74.8

Dec-2010
76.0

Mar-2011
75.7

Jun-2011
75.9

Sep-2011
75.2

Dec-2011
87.9

Mar-2012
91.0

Jun-2012
90.1

Sep-2012
83.9

Dec-2012
95.8

Mar-2013
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
Length (km)
River
Length (km)

Clarence
209
Clutha
322

Conway
48
Taieri
288

Waiau
169
Shag
72

Hurunui
138
Kakanui
64

Waipara
64
Rangitata
121

Ashley
97
Ophi
80

Waimakariri
161
Pareora
56

Selwyn
95
Waihao
64

Rakaia
145
Waitaki
209

Ashburton
90

3.1.8
State which type of measurement scale each represents, and then which center measures can be use for the variable?

You collect data on the height of plants using a new fertilizer.
You collect data on the cars that people drive in Campbelltown, Australia.
You collect data on the temperature at different locations in Antarctica.
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 (km)
River
Length (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

Find the mean and median.
Find the range.
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

Find the mean and median.
Find the range.
Find the variance and standard deviation.

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