University of Maryland University College

STAT200 - Assignment #2: Descriptive Statistics Analysis and Writeup Identifying Information

Student (Full Name): John Bishop

Class: STAT 200

Instructor:

Date:9/14/19 Introduction:

Use the same scenario you submitted for the first assignment with modifications using your instructor’s

feedback, if needed. Include Table 1: Variables Selected for the Analysis you used in Assignment #1 to

show the variables you selected for analysis.

Table 1. Variables Selected for the Analysis

Variable Name in data

set Description Type of Variable (Qualitative or

Quantitative) Variable 1: “Income” Annual household income in USD. Quantitative Variable 2: “Martial

Status” Martial Status of head of household Qualitive Variable 3: “FamilySize” Total number of people in family to

include kids Quantitive Variable 4: (Housing) Total amount of annual income Quantitive Variable 5: (Electricity) Total amount of income needed for

Electric Quantitive Data Set Description and Method Used for Analysis:

Results:

Variable 1: Income STAT200: Assignment #2 - Descriptive Statistics Analysis Writeup - Template

Page 1 of 7 Numerical Summary.

Table 2. Descriptive Analysis for Variable 1

Variable

Variable: Income n

30 Measure(s) of Central Tendency

Median: Married – 102,263

Not married – 96,439 Measure(s) of Dispersion

Variance: Married – 2.566

Not married: 1.44 Graph and/or Table: Histogram of Income Description of Findings. On average, 60% of Not Married households have a salary range of 96,067 to 97,267 verse 66%

of married households have an average between 95,385 to 104,585. The difference is higher

amongst larger families. Variable 2: Martial Status

STAT200: Assignment #2 - Descriptive Statistics Analysis Writeup - Template

Page 2 of 7 Numerical Summary.

Table 3. Descriptive Analysis for Variable 2

Variable n Variable 2: “Martial Status” 30 Measure(s) of Central Tendency

Mode = Married, Not married Measure(s) of Dispersion

N/A Graph and/or Table. Description of Findings.

Mode = Most repeated number. Both married and not married are 15, I chose mode as my measure of

central tendency. The data shows that 50% are married and 50% or not married and the variable is

qualitive. Variable 3: FamilySize

Numerical Summary.

Table 4. Descriptive Analysis for Variable 3

Variable n Measure(s) of Central Tendency Measure(s) of Dispersion STAT200: Assignment #2 - Descriptive Statistics Analysis Writeup - Template

Page 3 of 7 Variable 3: “FamilySize” 30 Mean: Married = 2.4

Not married = 3.8 Variance: Married = 0.66

Not married = 1.10 Graph and/or Table. Description of Findings. On average 66% of not married households have a smaller family size between 1-3 kids appose

to 93% of married households have 2-6 kids. STAT200: Assignment #2 - Descriptive Statistics Analysis Writeup - Template

Page 4 of 7 Variable 4: (Housing)

Numerical Summary.

Table 5. Descriptive Analysis for Variable 4

Variable N Variable 4: (Housing) 30 Mean/Median

Mean = Married – 18,485

Unmarried – 25,315 St. Dev.

Variance: Married – 2.57

Not Married – 4.93 Graph and/or Table. Description of Findings.

On average not married households, 73% spend 18,359 or more on housing, while 60% of married

households spend 25,314 or more on housing. Variable 5: Electricity

Numerical Summary.

Table 6. Descriptive Analysis for Variable 5

Variable

Variable 5: (Electricity) n

30 Measure(s) of Central Tendency

Mean: Married – 1,463

Not married – 1,400 Measure(s) of Dispersion

Variance: Married – 8.78

Not Married – 0.005 Graph and/or Table.

STAT200: Assignment #2 - Descriptive Statistics Analysis Writeup - Template

Page 5 of 7 Description of Findings.

On average not married households, 46% spend 1,461 or more on electricity, while 26% of married

households spend 1,457 or more on electricity. Discussion and Conclusion.

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? Note: The section should be no more than 2

paragraphs.

The one with the highest expenditure is housing, with a mean of 18,485 for “Married” households and

25,315 for “Not Married” households. The variable with the lowest expenditure is “Electricity” with a

mean of 1,463 for “Married” households and 1,400 for “Not Married” household.

I chose to compare the differences in expenses from married/unmarried households, I assumed that

married households would spend more money on housing and electricity. What I found was that

STAT200: Assignment #2 - Descriptive Statistics Analysis Writeup - Template

Page 6 of 7 unmarried households spend more on housing than electricity and married households spend more on

electricity than housing. I would recommend not married households save money in housing, married

couples spend an average of (18%) or $18,485 of their annual salary for housing as unmarried household

spends and average of (26%) or $25,315 of their annual salary for housing. I think this could be due to a

married household having a mortgage verse unmarried household renting. I would recommend the

unmarried household set a goal to lower their housing cost at least 8% if possible. STAT200: Assignment #2 - Descriptive Statistics Analysis Writeup - Template

Page 7 of 7