Stat 200
STAT200: Assignment #1 - Descriptive Statistics Analysis Plan - Template
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University of Maryland University College
STAT200 - Assignment #1: Descriptive Statistics Data Analysis P lan
Identifying Information
Student (Full Name):
Class: STAT 200
Instructor:
Date:
Scenario: I am the head of household as a single parent and only source of income. I have obtained a high school diploma for education. I have one child that I am the sole provider for.
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: “Marital Status”
Martial Status as the Head of Household
Qualitative
Variable 3: “Family Size”
Total number of people in the house to include adults and children
Quantitative
Variable 4: “Annual Expenditures”
Total amount of annual expenditures
Quantitative
Variable 5: “Age Head of Household”
Age of Head of Household
Quantitative
Reason(s) for Selecting the Variables and Expected Outcome(s):
Variable 1: “Income” – This will show the annual income in the household in USD
Variable 2: “ Martial Status ” – This variable will be relevant as it is the only income
Variable 3: “ Family Size” – This shows the size of the family in the household
Variable 4: “ Annual Expenditures ” – This shows the expenditures throughout the year
Variable 5: “ Age Head of Household ” – This variable shows the age of the head of household
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:
Marital Status
- Mode
- Variance
I am using mode as a measurement to be used at all levels of data.
I am using variance to determine the differences in the households.
Variable 3:
Family Size
- Range
- Sample Standard Deviation
- Mean
I am using range to find out how many other households have the same size family.
Sample Standard Deviation will be used to gather data on a larger scale
Variable 4:
Annual Expenditures
- Median
- Range
- Sample Standard Deviation
I am using the median to find out what the average expenses are in a single income household.
The range will be based on a larger scale
Variable 5:
Age Head of Household
- Mean
- Range
The mean will be determined on average age of guardian in the household.
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: Pie Chart will be used for this variable
A pie chart to show the percentage of each marital status.
Variable 3:
Family Size
Graph: A Bar Chart
A bar chart will show differences in family sizes
Variable 4:
Annual Expenditures
Graph: A Bar Chart
A bar chart will show the average spent on a single income
Variable 5:
Age Head of Household
Table: Grouped Frequency Table
Grouping these together will show the average single parent households