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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.
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” |
|
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” |
|
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” |
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” |
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” |
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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