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Homework answers / question archive / University of Maryland University College STAT200 - 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

University of Maryland University College STAT200 - 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

Statistics

University of Maryland University College

STAT200 - 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.

I selected a 33 year-old married head of household with no children, as that describes myself. I chose head of household and marital status as the variables for socioeconomics. Marital status having only two options allows for clear-cut comparisons, even in relation to other variables. I chose Age of the head of household because of the large variation of sample size. For Expenditure variables I chose annual expenditures and housing for the large range in samples.

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: “MaritalStatus”

Marital Status of Head of Household

Qualitative

 

Variable 3:

“AgeHeadHousehold”

Age of the Head of Household

Quantitative

Variable 4:

“AnnualExpenditures”

Total Amount of Annual Expenditures

Quantitative

Variable 5: “Housing”

 

Total Amount of Annual Expenditure on Housing

Quantitative

 

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

1. Variable 1: “Income” - It was required to be chosen by the assignment

2. Variable 2: “Marital Status “ - Marital status having only two options allows for clear-cut comparisons, even in relation to other variables

3. Variable 3: “Age of Head of Household“ - the large range of sample size

4, Variable 4: “Annual Expenditures" - large range in samples

5. Variable 5: “Housing” - large range in samples

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:

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

2. The variable is quantitative.

I am using sample standard deviation for three reasons:

1. The data is a sample from a larger data set.

2. It is the most commonly used measure of dispersion.

3. The variable is quantitative.

Variable 2:

“Marital Status”
  • Mode

I am using mode for the following reason:

1. As the data is nominal, the median and mean cannot be determined

Variable 3: “Age of Head of Household”
  • Mean
  • Median
  • Sample

Standard Deviation

I am using mean for the following reasons:

1. It is the most commonly used measure of central tendency.

2. The variable is quantitative.

I am using median for two reasons:

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

2. the variable is quantitative.

I am using sample standard deviation for three reasons:

1. The data is a sample from a larger data set.

2. it is the most commonly used measure of dispersion

3. The variable is quantitative.

Variable 4:

“Annual Expenditures”
  • Mean
  • Median
  • Sample

Standard Deviation

I am using mean for the following reasons:

1. It is the most commonly used measure of central tendency.

2. The variable is quantitative.

I am using median for two reasons:

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

2. the variable is quantitative.

I am using sample standard deviation for three reasons:

1. The data is a sample from a larger data set.

2. it is the most commonly used measure of dispersion

3. The variable is quantitative.

Variable 5:

“Housing Expenditures”
  • Mean
  • Median
  • Sample

Standard Deviation

I am using mean for the following reasons:

1. It is the most commonly used measure of central tendency.

2. The variable is quantitative.

I am using median for two reasons:

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

2. the variable is quantitative.

I am using sample standard deviation for three reasons:

1. The data is a sample from a larger data set.

2. it is the most commonly used measure of dispersion

3. The variable is quantitative.

 

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: “Marital Status”

Graph: I will use the Pie Chart

The Pie Chart is useful as there are only two categories and the data can be presented as a percentage. A Pie Chart is useful for qualitative data.

Variable 3: “Age of Head of Household”

 

Graph: I will use the Box Plot

The Box Plot is useful for large amounts of data and help to identify any outliers in the data.

Variable 4: “Annual Expenditures”

Graph: I will use the Histogram

The histogram is useful shows normal distribution of quantitative data, and is easier to read than a frequency table.

Variable 5: “Housing Expenditures”

Graph: I will use the Histogram

The histogram is useful shows normal distribution of quantitative data, and is easier to read than a frequency table.

 

 

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