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In: Statistics and Probability

Pls attempt all parts for Upvote a) The median incomes of females in each state of...

Pls attempt all parts for Upvote

a) 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

b) 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.

c) Create a histogram and relative frequency histogram for the data in table #2.2.12.

Describe the shape and any findings you can from the graph. Section 2.3

Table #2.2.12: Data of Health Insurance Premiums

$114

$119

$121

$125

$132

$139

$139

$141

$143

$145

$151

$153

$156

$159

$162

$163

$165

$166

$170

$170

$176

$177

$181

$185

$185

$186

$186

$189

$190

$192

$196

$203

$204

$219

$254

$286

d) 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

Solutions

Expert Solution

a) ### By using Excel:

Class Frequency cumulative frequency relative frequency=frequency/Total
"22000-28000" 1 1 0.0192
"28000-34000" 21 1+21=22 0.4038
"34000-40000" 15 22+15=37 0.2885
"40000-46000" 10 37+10=47 0.1923
"46000-52000" 4 47+4=51 0.08
"52000-58000" 0 51+0=51 0
"58000-64000" 1 51+2=52 0.0192
Total 52 1.0000

Both the graph are not symmetric, the graph has the long tail towards right side. Hence the distribution of the data is positively skewed.

c)

Class Frequency cumulative frequency relative frequency=frequency/Total
"110-136" 5 5 0.1389
"136-162" 9 5+9=14 0.2500
"162-188" 13 14+13=27 0.3611
"188-214" 6 27+6=33 0.1667
"214-240" 1 33+1=34 0.03
"240-266" 1 34+1=35 0.0278
"266-292" 1 35+1=36 0.0278
Total 36 1.0000

The shape of the graph is non-symmetric. The distribution of the data is slightly skewed towards right.

d)

from the above scatterplot we observe that there is a positive linear relationship between the value of the house and the annual rental income.

orchestra answered 2 years ago
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