Question

In: Statistics and Probability

Variable 1: Income Find median and standard deviation: Graph using histogram: Description of Findings: Variable 2:...

Variable 1: Income

Find median and standard deviation:

Graph using histogram:

Description of Findings:

Variable 2: Marital Status

Find mode:

Graph using pie chart:

Description of Findings:

Variable 3: Family Size

Find mean and variance:

Graph using histogram:

Description of Findings:

Variable 4: Housing

Find mean and variance (in relation to marital status or single and married):

Graph using histogram:

Description of Findings:

Variable 5: Food

Find mean and variance (in relation to marital status or single and married):

Graph using histogram:

Description of findings:

Description of Findings: Briefly discuss each variable in the same sequence as presented in the results. What has the highest expenditure? What variable has the lowest expenditure? If you were to recommend a place to save money, which expenditure would it be and why?

Data Set:

SE-MaritalStatus

SE-Income

SE-FamilySize

USD-Food

USD-Housing

Not Married

95432

1

7089

18391

Not Married

97469

4

6900

18514

Not Married

96664

3

7051

18502

Not Married

96653

4

6943

18838

Not Married

94867

1

6935

18633

Not Married

97912

1

6937

18619

Not Married

96886

2

6982

18312

Not Married

96244

4

7073

18484

Not Married

95366

2

7130

18576

Not Married

96727

2

7051

18376

Not Married

96697

2

6971

18520

Not Married

95744

4

7040

18435

Not Married

96572

2

7179

18648

Not Married

98717

3

7036

18389

Not Married

94929

2

6948

18483

Married

95778

4

9067

22880

Married

109377

4

10575

23407

Married

95706

4

8925

22376

Married

95865

1

9321

22621

Married

109211

4

11566

22219

Married

95994

4

9231

22852

Married

114932

5

11077

26411

Married

112559

3

11189

25531

Married

95807

4

9210

23139

Married

99610

2

9513

27164

Married

95835

3

9111

23252

Married

102081

4

11738

23374

Married

104671

4

10420

22245

Married

107028

4

10840

25671

Married

114505

5

11375

26006

Solutions

Expert Solution

Variable 1:- Income

Median = 96681USD, Mean = 99861 USD Standard deviation = 6291USD

Discreption:- 50% of the families have income less than 96681 USD, and the variation of income is more among the families.

Variable 2:- Marital status

Mode = most repeated observation since both married and single are 15 observations hence the mode is both not married and married

Variable 3: Family Size

Mean = 3.067 Variance = 1.513

On an average each family consists of 3 members with a standard deviation of 1.23.

Variable 4: Housing:-

Overall

Mean = 21229 , Variance = 9024016

For single

Mean = 18514.67, Variance = 17917.1

For Married

Mean = 23943.2 , Variance = 2881666

Variable 5: Food:-

Overall

Mean = 8614 , Variance = 3164841

For single

Mean = 7017.667, Variance = 6494.238

For Married

Mean = 10210.53, Variance = 1086796


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