Descriptive Analysis write up

marcusj

wilsonDescriptiveStatistics1.docx

Home >Mathematics homework help >Statistics homework help >Descriptive Analysis write up

University of Maryland University College

STAT200 - Assignment #1: Descriptive Statistics Data Analysis Plan

Identifying Information

Amber Wilson

Stat 200 6755

Dr.Barnes

11/4/19

Scenario:

I am a student conducting a research to determine the main factors contributing expenditures of a given family. Data given provide information on income, expenditure on food, family size, annual expenditure and expenditure on entertainment.

The selected variables are shown in the table below.

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: “Family Size”	Total Number of People in Family (Both Adults and Children)	Quantitative
Variable 3: “Annual Expenditure”	Total Amount of Annual Expenditures in USD	Quantitative
Variable 4: “Food”	Total Amount of Annual Expenditure on Food in USD	Quantitative
Variable 5: “Entertainment”	Total Amount of Annual Expenditure on Entertainment in USD	Quantitative

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

1. 1. Variable 1: “Income” – Help to determine the total amount the family has before spending.

2. 2. Variable 2: “Family size” – Helps to determine whether big or small families have more expenditure.

3. 3. Variable 3: “Annual Expenditure” – It gives the total expenditure of the families given.

4. 4. Variable 4: “Food” – It shows the total amount families spend on food. It will ease comparison of food expenditure between families.

5. 5. Variable 5: “Entertainment” – It shows the amount spends on entertainment. It can lead to determination of luxurious families.

Data Set Description:

The data used in this study contains income, family size, annual expenditure, food and entertainment. Income, annual expenditure, food and entertainment are all continuous variables reporting income and expenditures in US dollars.

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

2. 2. The variable is quantitative.

I am using sample standard deviation for three reasons:

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

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

3. 3. The variable is quantitative.

Variable 2:

“Family size”

· Number of Observations

· Median

· Mode

I am using median for two reasons:

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

4. 2. The variable is quantitative.

I am using mode for the following reason:

4. 1. It reports the most families with the same size.

Variable 3:

“Annual expenditure”

· Number of Observations

· Median

· Sample Standard Deviation

I am using median for two reasons:

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

6. 2. The variable is quantitative.

I am using sample standard deviation for three reasons:

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

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

7. 3. The variable is quantitative.

Variable 4:

“Food”

· Number of Observations

· Median

· Sample Standard Deviation

I am using median for two reasons:

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

8. 2. The variable is quantitative.

I am using sample standard deviation for three reasons:

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

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

10. 3. The variable is quantitative.

Variable 5:

“Entertainment”

· Number of Observations

· Median

· Sample Standard Deviation

I am using median for two reasons:

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

10. 2. The variable is quantitative.

I am using sample standard deviation for three reasons:

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

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

13. 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: “Family size”	Graph: Histogram is suitable to show normal distribution	Since it is a quantitative variable histograms determines the distribution of the data.
Variable 3: “Annual expenditure”	Graph: Histogram is suitable to show normal distribution	Since it is a quantitative variable histograms determines the distribution of the data.
Variable 4: “Food”	Graph: Histogram is suitable to show normal distribution	Since it is a quantitative variable histograms determines the distribution of the data.
Variable 5: “Entertainment”	Graph: Histogram is suitable to show normal distribution	Since it is a quantitative variable histograms determines the distribution of the data.