stat 200 assignment 3

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Student (Full Name): James Shanique- Assignment 1

Class: STAT 200

Scenario: Please write a few lines describing your scenario and the four variables (in addition to income) you have selected.

I’m 35 year hold single parent with a high school diploma and one child. My income is $25000. Addition

to income variable: SE- marital status , SE- Family size , USD- Food and USD- Education

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.

I am 35 year hold single parent with a high school diploma and one child. My income is $25000. Addition to income variable: SE- marital status, SE- Family size, USD- Food and USD- Education.

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

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: SE-Marital	Marital status of Head of Household.	Qualitative
Variable 3: SE-Family Size	Total number of people in family.	Quantitative
Variable 4: USD-Food	Total amount of annual expenditures on food.	Quantitative
Variable 5: USD-Education	Total amount of annual expenditures on education.	Quantitative

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

1.Variable 1: “Income” - The income I chose is the average income that an E5 makes in the Army.

2. Variable 2: “SE Marital Status”- I choose this variable because it one of the important variables when it comes to socioeconomic problem. The outcome for this variable will be quality of life.

3. Variable 3: “SE Family size”- I choose this variable because family size predicts parents’ investment in children’s education. So, to me this is a good variable to work on it. The outcome for Family size will be children’s schooling.

4. Variable 4: “USD Food”- I choose this variable because it indispensable to our life we eat every day, it important to analyze and understand this variable. The outcome for this variable will be malnutrition, negative effects on health and quality of life.

5. Variable 5: “USD Education”- I choose education variable because Education has many benefits and has positive impact in our life. The outcome for Education variable will be illiteracy.

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 Dispersio

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 used measure of

dispersion.

3. The variable is quantitative

Variable 2: “Marital Status”

· Number of married and single by sex

· Mean

· Mean deviation.

I am using mean to see the distribution of married people and single.

The mean will help us to calculate the mean deviation since we have a quantitative variable.

I am using standard deviation because the data from a

large population. And the data is quantitative.

Variable 3: “Family size”

· Number of people

· Mean

· Variance

· Standard deviation

I am using mean to see the average deviation of my data. I think the mean is the appropriate measure of central tendency. It will help me to calculate the variance. I am using standard deviation because the data from a large population. And the data is quantitative.

Variable 4: “Food”

· Amount spends on food.

· Mode

· Mean and Median

· Variance

· Standard deviation

I am using mode to identify the amount spent on food by most people.

As the data is quantitative, the median will be using to calculate the variance and then deduct the standard deviation.

Variable 5: “Education”

· Annual expenditure

· Mean

· Sample variance

· Standard deviation

I am using to determine the average deviation of the data. The mean will help me understand the set of my data and to calculate the variance of my data.

Sample variance and Standard deviation will be use because I have a large population data.

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

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 plots to show the normal distribution of quantitative level data.
Variable 2: “Marital Status”	Graph: I will use scatter to compare number of married people and single people.	I think scatter is the best chart to see the difference between two different set of data.
Variable 3: “Family Size”	Graph: I will use column chart to see the number of people in different family.	I think column bar is one of the most and clear charts uses to show quantitative data.
Variable 4: “Food”	Graph: I will use line chart to show the total amount of annual expenditure on food.	The line chart will show us the evolution of expenditure on food during the year. The line chart will allow us to give a good analyze of the data.
Variable 5: “Education”	Graph: I will use a pie chart to chow the proportion of annual expenditure on education.	I think with the pie chart we are seeing clary the different value of the data and the proportion of each element of the variable.