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Assignment #1: Descriptive Statistics Data Analysis Plan Identifying Information Student (Full Name): Class: Instructor: Date: Scenario: Please write a few lines describing your scenario and

Assignment #1: Descriptive Statistics Data Analysis Plan

Identifying Information

Student (Full Name):

Class:

Instructor:

Date:

Scenario: Please write a few lines describing your scenario and the four variables (in addition to income) you have selected.

Use Table 1 to report the variables selected for this assignment. Note: The information for the required variable, Income, has already been completed and can be used as a guide for completing information on the remaining variables.

Table 1. Variables Selected for the Analysis

Variable Name in the Data Set

Description

(See the data dictionary for describing the variables.)

Type of Variable

(Qualitative or Quantitative)

Variable 1: Income

Annual household income in USD.

Quantitative

Variable 2:

Variable 3:

Variable 4:

Variable 5:

Reason(s) for Selecting the Variables and Expected Outcome(s):

Variable 1: Income -

Variable 2: -

Variable 3: -

Variable 4: -

Variable 5: -

Data Set Description:

Proposed Data Analysis:

Measures of Central Tendency and Dispersion

Complete Table 2. Numerical Summaries of the Selected Variables and briefly explain why you choose those measurements. Note: The information for the required variable, Income, has already been completed and can be used as a guide for completing information on the remaining variables.

Table 2. Numerical Summaries of the Selected Variables

Variable Name

Measures of Central Tendency and Dispersion

Rationale for Why Appropriate

Variable 1:

Income

Number of Observations

Median

Sample Standard Deviation

I am using median for two reasons:

If there are any outliers or the data is not normally distributed, the median is the best measure of central tendency.

The variable is quantitative.

I am using sample standard deviation for three reasons:

The data is a sample from a larger data set.

It is the most commonly used measure of dispersion.

The variable is quantitative.

Variable 2:

Variable 3:

Variable 4:

Variable 5:

Graphs and/or Tables

Complete Table 3. Type of Graphs and/or Table for Selected Variables and briefly explain why you choose those graphs and/or tables. Note: The information for the required variable, Income, has already been completed and can be used as a guide for completing information on the remaining variables.

Table 3. Type of Graphs and/or Tables for Selected Variables

Variable Name

Graph and/or Table

Rationale for why Appropriate?

Variable 1:

Income

Graph: I will use the histogram to show the normal distribution of data.

Histogram is one of the best plot to show the normal distribution of quantitative level data .

Variable 2:

Variable 3:

Variable 4:

Variable 5:

Missing data

STAT200 Introduction to Statistics

The dataset for Written Assignments

Description of Dataset:

The data is a random sample from the US Department of Labors 2016 Consumer Expenditure Surveys (CE) and provides information about the composition of households and their annual expenditures (https://www.bls.gov/cex/). It contains information from 30 households, where a survey responder provided the requested information; it is all self-reported information. This dataset contains four socioeconomic variables (whose names start with SE) and four expenditure variables (whose names start with USD).

Description of Variables/Data Dictionary:

The following table is a data dictionary that describes the variables and their locations in this dataset (Note: Dataset is on second page of this document):

Variable Name

Location in Dataset

Variable Description

Coding

UniqueID#

First Column

Unique number used to identify each survey

responder

Each responder has a unique

number from 1-30

SE-MaritalStatus

Second Column

Marital Status of Head of Household

Not Married/Married

SE-Income

Third Column

Annual Household Income

Amount in US Dollars

SE-AgeHeadHousehold

Fourth Column

Age of the Head of Household

Age in Years

SE-FamilySize

Fifth Column

Total Number of People in Family (Both Adults

and Children)

Number of People in Family

USD-Annual Expenditures

Sixth Column

Total Amount of Annual Expenditures

Amount in US Dollars

USD-Housing

Seventh Column

Total Amount of Annual Expenditure on Housing

Amount in US Dollars

USD-Electricity

Eighth Column

Total Amount of Annual Expenditure on

Electricity

Amount in US Dollars

USD-Water

Ninth Column

Total Amount of Annual Expenditure on Water

Amount in US Dollars

How to read the data set: Each row contains information from one household. For instance, the first row of the dataset starting on the next page shows us that: the head of household is not married and is 53 years old, has an annual household income of $97,681, a family size of 4, annual expenditures of

$56,124, and spends $18,676 on housing, $1,468 on electricity, and $551 on water.

UniqueID#

SE-MaritalStatus

SE-Income

SE-AgeHeadHousehold

SE-FamilySize

USD-AnnualExpenditures

USD-Housing

USD-Electricity

USD-Water

1

Not Married

97681

53

4

56124

18676

1468

551

2

Not Married

96727

39

2

56440

18376

1441

542

3

Not Married

95432

51

1

55120

18391

1458

548

4

Not Married

96928

43

3

55932

18701

1479

520

5

Not Married

94929

59

2

55247

18483

1451

546

6

Not Married

95744

52

4

55963

18435

1465

555

7

Not Married

95366

48

2

57082

18576

1478

538

8

Not Married

96697

49

2

56453

18520

1469

545

9

Not Married

96572

59

2

56515

18648

1480

552

10

Not Married

96653

51

4

56488

18838

1470

535

11

Not Married

96664

53

3

55558

18502

1478

553

12

Not Married

96621

54

2

55746

18149

1455

540

13

Not Married

96886

44

2

55321

18312

1450

523

14

Not Married

96244

56

4

56051

18484

1457

539

15

Not Married

94867

60

1

55512

18633

1485

523

16

Married

98351

34

3

76558

26513

1342

547

17

Married

109312

37

6

80801

25392

1514

743

18

Married

111478

29

5

82699

24949

1503

814

19

Married

107511

56

3

83347

22915

1723

773

20

Married

95835

54

3

73092

23252

1300

705

21

Married

110553

23

4

81419

26991

1421

719

22

Married

95706

52

4

71597

22376

1315

694

23

Married

110651

58

4

83766

22899

1682

754

24

Married

98491

22

3

75996

26283

1326

620

25

Married

99610

36

2

73550

27164

1330

627

26

Married

97663

51

3

72971

23150

1320

689

27

Married

115766

41

4

83448

25679

1511

767

28

Married

107235

38

6

83471

26074

1486

769

29

Married

106627

56

3

82676

22414

1688

709

30

Married

109523

37

5

84002

26771

1457

768

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