20 Nov 2022

138

How to Analyze Variables in Your Data

Format: APA

Academic level: College

Paper type: Math Problem

Words: 552

Pages: 2

Downloads: 0

Scenario 

The scenario involves a father aged 40 with two children with a university degree. Income, which is critical among the variables in the proposed analysis, comprises of a joint income from him and his spouse. Other identified variables include Marital Status, Family Size, Food, and Housing. 

Variables Selected for the Analysis 

Table 1 . Variables 

Variable Name in the Data Set 

Description 

Type of Variables 

Variable 1: “Income”  Annual household income in USD  Quantitative 
Variable 2: “MaritalStatus”  Marital Status of the Head of the Household  Qualitative 
Variable 3: “FamilySize”  Sum of the adults and children in the family  Quantitative 
Variable 4: “Food”  Total expenditure on food annually  Quantitative 
Variable 5: “Housing”  Total expenditure on housing annually  Qualitative 
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Reasons for Selecting the Variables and the Expected Outcome(s) 

Variable 1: “Income” – The variable was selected as it a vital determinant of the daily livelihood and quality of life projected by various households. 

Variable 2: “MaritalStatus” – It is vitally necessary to comprehend the variance between the living standards of households based on their marital status. 

Variable 3: “FamilySize” – The size of the family determines the distribution of the joint income of the parents. 

Variable 4: “Food” – As a necessity, the knowledge of the affordability of food is a crucial concern to various stakeholders. 

Variable 5: “Housing” – Housing is also a necessary aspect of sustainable and improved living standards. 

Dataset Description 

Proposed Data Analysis: Measure of Central Tendency and Dispersion 

Table 2 . Numerical Summaries of the Selected Variables 

Variable Name 

Measure of Central Tendency and Dispersion 

Rationale for Why Appropriate 

Variable 1: “Income” 

Number of Observations 

Median 

Sample Standard 

Deviation 

I am using the 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 the sample standard deviation for three reasons: 

The data is a sample from a broader data set. 

It is the most commonly used measure of dispersion. 

The variable is quantitative. 

Variable 2: “MaritalStatus”  Number of Observations  The count of the three subcategories of marital status (single, married, divorced) will help discern the behavior of each group distinctively. 
Variable 3: “FamilySize” 

Median 

Mean 

I will employ the median given the asymmetrical nature of the data.

The mean will be useful in giving the overall depiction of the identified variable.

Variable 4: “Food” 

Mean 

Median 

Number of Observation 

The mean will be useful in averaging the total annual spending on food. 

The median will be useful in estimating the average amount of expenditure on food by households. Also, the median will minimize the risk of the effects outliers may have on the dataset. 

It is also crucial to determine the total amount of expenditure on food annually. 

Variable 5: “Housing” 

Number of Observations 

Mean 

Variance 

It is vital to estimate the total expenditure on housing annually. 

The mean will help determine the average amount of money in USD spend on housing 

Graphs and Tables 

Table 3 . Type of Graphs and Tables for Selected Variables 

Variable Name 

Graphs/Table 

Rationale for Why Appropriate 

Variable 1: “Income”  Graph: I will use the histogram to show the normal distribution of data.  A histogram is one of the best plot to show the normal distribution of quantitative level data 
Variable 2: “MaritalStatus”  Table: Frequency Table  A frequency table will adequately summarize the data pertaining to marital status. 
Variable 3: “FamilySize”  Graph: Bar Chart  A bar chart is useful in displaying a comparison of metric values by relating the family size categories based on the size of their respective bars. 
Variable 4: “Food”  Graph: Histogram  Tabulating the data values in the food variable could be difficult, and a histogram will be more effective in identifying the frequency of data within the dataset. 
Variable 5: “Housing”  Graph: Bar Chart  A bar chart will be appropriate in comparing various measures of the categorical data within the housing and other variables. 

Reference  

Consumer Expenditure Survey . (2016).  Bls.gov . Retrieved 25 January 2020, from https://www.bls.gov/cex/ 

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Reference

StudyBounty. (2023, September 16). How to Analyze Variables in Your Data.
https://studybounty.com/how-to-analyze-variables-in-your-data-math-problem

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