STAT 300 Assignment 3 Inferential Statistics Analysis and Writeup

Assignment2DescriptiveAnalysisMandyFrancisco.docx

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University of Maryland University College

STAT200 - Assignment #2: Descriptive Statistics Analysis and Writeup

Identifying Information

Student : Mandy Francisco

Class: STAT200 6392

Instructor: Professor Roger Davis

Date: June 2, 2020

Introduction:

From the dataset, I chose UniqueID# 36. I am married with an annual income of $99610. I am the head of the household and I am 36. It is only two of us, me and my spouse. We both have our bachelor’s degree and are both employed. Our annual income is a total of both our incomes together in the household.

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: “Age Head Household”	Head of household’s age group	Quantitative
Variable 3: “Family Size”	Household family size	Qualitative
Variable 4:” Food Expenditures”	Total amount of expenditure of food annually	Quantitative
Variable 5:” Entertainment Expenditures”	Total amount of expenditure on entertainment annually	Quantitative

Data Set Description and Method Used for Analysis:

The data is undertaken by making random sampling from the US department of labor’s 2016 consumer expenditure surveys. The data includes the annual expenditures of 30 households. For the analysis, we are using four socioeconomic variables and four expenditure variables. Here we have undertaken the annual household income in USD, head of the household’s age group, household family size, the total amount of expenditure of food annually, and the total amount of expenditure on entertainment annually as the variables.

Results:

Variable 1: Income

Numerical Summary.

Table 2. Descriptive Analysis for Variable 1

Variable

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable: ”Income”

· Mean =99661.03

· Median = 97304.5

Sample standard deviation= 5138.97

Graph and/or Table: Histogram of Income

Description of Findings.

Analysis of the annual household income variable shows a median income of $9,7305 with a standard deviation of $5139. The histogram above shows that 3/8 of the household income ranges in mostly $96000, $97000, and $110000. The distribution of the data is not even but has a steady up and down frequency.

It should be noted that a 2017 U.S. Census report indicate that the median household income in the U.S. was $59,039. This is suggesting that that this data used in this analysis is not somewhat similar to the national population

Variable 2: Age Head of Household

Numerical Summary.

Table 3. Descriptive Analysis for Variable 2

Variable

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable 2:” age head of household”

· Mean = 47.03

· Median =50

Standard deviation= 8.48

Graph and/or Table.

Description of Findings.

Variable 3: Family Size

Numerical Summary.

Table 4. Descriptive Analysis for Variable 3

Variable

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable 3: “family size”

· Mean=2.83

Standard deviation =1.02

Graph and/or Table.

Description of Findings.

Variable 4: Annual Food Expenditure

Numerical Summary.

Table 5. Descriptive Analysis for Variable 4

Variable

Mean/Median

St. Dev.

Variable 4: “annual food expenditure”

· Mean=8504.87

Standard deviation =1646.07

Graph and/or Table.

Description of Findings.

Variable 5: Annual Entertainment Expenditure

Numerical Summary.

Table 6. Descriptive Analysis for Variable 5

Variable	n	Measure(s) of Central Tendency	Measure(s) of Dispersion
Variable: Variable 5: “annual entertainment expenditure”	30	Mean =110.67	Standard deviation= 38.21

Graph and/or Table.

Description of Findings.

Discussion and Conclusion.

As we can see from the above results, among the 30 households the mean income is 99661.03 and the mean age is around 47 of the households. Their mean annual food expenditures around 8504 USD and entertainment expenditures 110 USD. From the histogram, we can see that the income and the expenditures are normally distributed, and the pie chart shows that most of the households are with 3-4 members in their family. The box plot shows the distribution of income among households based on their ages.

Annual Food Expenditure

Frequency 6500 7000 7500 8000 8500 9000 9500 10000 10500 11000 11500 0 7 8 0 0 2 5 1 1 3 3

bin

Frequency

Annual Entertainment Expediture

Frequency 30 60 90 120 150 180 210 0 3 5 14 3 3 2

bin

Frequency

Household Income

Frequency 95000 96000 97000 98000 99000 100000 110000 120000 1 6 8 2 3 1 7 2

bin

Frequency