Stat 200 assignment 1 descriptive statistics data analysis plan

Stat 200

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: “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

Data Set Description and Method Used for Analysis:

Results:

Variable 1: Income

Numerical Summary.

Table 2. Descriptive Analysis for Variable 1

Variable

n

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable: Income

Median=

SD =

Graph and/or Table: Histogram of Income

(Place Histogram here)

Description of Findings.

Variable 2: (Fill in name of variable)

Numerical Summary.

Table 3. Descriptive Analysis for Variable 2

Variable

n

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable:

Graph and/or Table.

(Place Graph or Table Here)

Description of Findings.

Variable 3: (Fill in name of variable)

Numerical Summary.

Table 4. Descriptive Analysis for Variable 3

Variable

n

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable:

Graph and/or Table.

(Place Graph or Table Here)

Description of Findings.

Variable 4: (Fill in name of variable)

Numerical Summary.

Table 5. Descriptive Analysis for Variable 4

Variable

N

Mean/Median

St. Dev.

Variable 4:

Graph and/or Table.

(Place Graph or Table Here)

Description of Findings.

Variable 5: (Fill in name of variable)

Numerical Summary.

Table 6. Descriptive Analysis for Variable 5

Variable

n

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable:

Graph and/or Table.

(Place Graph or Table Here)

Description of Findings.

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.

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