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STAT200 Introduction to Statistics

Assignment #2: Descriptive Statistics Analysis and Writeup

Assignment #2: Descriptive Statistics Analysis and Writeup

In the first assignment (Assignment #1: Descriptive Statistics Analysis Data Plan), you developed a

scenario about annual household expenditures and a plan for analyzing the data using descriptive

statistic methods. The purpose of this assignment is to carry out the descriptive statistics analysis plan

and write up the results. The expected outcome of this assignment is a two to three page write-up of

the findings from your analysis as well as a recommendation.

Assignment Steps:

Step #1: Review Feedback from Your Instructor

Before performing any analysis, please make sure to review your instructor’s feedback on Assignment

#1: Descriptive Statistics Data Analysis Plan. Based on the feedback, modify variables, tables, and

selected statistics, graphs, and tables, if needed.

Step #2: Perform Descriptive Statistic Analysis

Task 1: Look at the dataset.

•

(Re)Familiarize yourself with the variables. Review Table 1: Variables Selected for the

Analysis you generated for the first assignment as well as your instructor’s feedback. In

addition, look at the data dictionary contained in the data set for information about the

variables.

•

Select the variables you need for the analysis.

Task 2: Complete your data analysis, as outlined in your first assignment, with any needed

modifications, based on your instructor’s feedback.

•

Calculate Measures of Central Tendency and Variability. Use the information from

Assignment #1 – Table 2. Numerical Summaries of the Selected Variables. Here again,

be sure to see your instructor’s feedback and incorporate into the analysis.

•

Prepare Graphs and/or Tables. Use the information from Assignment #1 – Table 3.

Type of Graphs and/or Tables for Selected Variables. Here again, be sure to see your

instructor’s feedback and incorporate into the analysis.

STAT200: Assignment #2 – Descriptive Statistics Analysis and Writeup – Instructions

Page 1 of 3

Step #3: Write-up findings using the Provided Template

For this part of the assignment, write a short 2-3 page write-up of the process you followed and the

findings from your analysis. You will describe, in words, the statistical analysis used and present the

results in both statistical/text and graphic formats.

Here are the main sections for this assignment:

✓ Identifying Information. Fill in information on name, class, instructor, and date.

✓ Introduction. For this section, use the same scenario you submitted for the first assignment and

modified using your instructor’s feedback, if needed. Include Table 1 (Table 1: Variables

Selected for the Analysis) you used in Assignment #1 to show the variables you selected for the

analysis.

✓ Data Set Description and Method Used for Analysis. Briefly describe the data set, using

information provided in the data set file. Also describe what method(s) (i.e., TI Calculator, free

web applets, Excel) you used to analyze the data.

✓ Results. In this section, you will report the results of your descriptive statistics data analysis. For

each variable, fill in the following sections:

•

Variable (#): (Name). Fill in the name of the variable. Note: Income was included for

variable 1.

•

Numerical Summary. Fill in Table . Descriptive Analysis for Variable with your

computation. Below is the template table; be sure to include the name(s) of the

measures used as well as their values. Since there will be no measure of dispersion for

the qualitative variable, just enter N/A for not applicable. Note: The information for the

required variable, “Income,” has already been partially completed and can be used as a

guide for completing information on the remaining variables.

Variable

n

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable:

•

Graph and/or Table. Put the graph or table for the variable in this section.

STAT200: Assignment #2 – Descriptive Statistics Analysis and Writeup – Instructions

Page 2 of 3

•

Description of Findings.

–

Briefly describe the descriptive statistics measure(s) that was/were calculated

and explain why was it/they the appropriate one(s) to use.

–

Describe the results of the analysis in everyday language. Please consult your

textbook and information contained in our LEO classroom for examples.

✓ Discussion and Conclusion. Organize the discussion to address findings for which you presented

results. 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.

Assignment Submission: Name the file that contains your completed “Assignment #2: Descriptive

Statistics Analysis Writeup Template” using the following format: “Assignment2-StudentLastName.”

Submit it via the Assignments area in the LEO classroom in the “Assignment #2: Descriptive Statistics

Analysis Writeup” folder.

Grading Rubric for Assignment #2

Introduction

10%

Description of data set and method(s) used for analyzing the data

10%

Results. For each variable (10% for each variable):

50%

● Numerical Summary: Accurate/appropriate results reported in table.

● Graph and/or Table: Accurate/appropriate graph or table.

● Findings:

○ Description of and explanation of measure(s) used.

○ Explanation of the results of the analysis, including information from both the

numerical summary and graph and/or table.

Discussion and Conclusion. Described results and provided answers to questions about

expenditures.

20%

Writes clearly, concisely, and with few errors.

10%

Clearly presents material graphically. Easy to understand.

STAT200: Assignment #2 – Descriptive Statistics Analysis and Writeup – Instructions

Page 3 of 3

Assignment #1: Descriptive Statistics Data Analysis Plan

Tiara McCray

STAT 200

Professor Depriter

6/16/2019

STAT200: Assignment #1 – Descriptive Statistics Analysis Plan – Template

Page 1 of 6

Scenario: I am a 30 year old woman who is the main earning member of my family. My family consists of

myself, my husband, and our two children, a boy and a girl. My girl is the elder sibling and studies in

Standard V, while my boy studies in Standard IV. My husband and I together carry out all financial

planning for our family.

In addition to the variable “Income”, I chose the two socio-economic variables SE-Marital Status and SEAge Head Household. The variable SE-Marital Status is qualitative and the variable SE-Age Head House

hold is quantitative. I also chose the two expenditure variables USD-Food and USD-Fruits.

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: “SE-Marital Status”

Marital status of the head of the household

Qualitative

Variable 3: “SE-Age Head

Household”

Age of the head of the household

Quantitative

Variable 4: USD-Food

Total Amount of Annual Expenditures on Food

Quantitative

Variable 5: USD-Fruits

Total Amount of Annual Expenditures on Food

Quantitative

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

1. Variable 1: “Income” – I chose this variable to understand the quantitative characteristics of

household income levels and then compare my own income with the sample data. What

interests me about this variable is that income level is an important economic indicator. The

expected outcome is a better idea of whether my present income levels are adequate or I

should seek ways to increase my income.

2. Variable 2: “SE-Marital Status” – I chose this variable to understand the distribution of heads

of household who are married and those who are not. What interests me about this variable

STAT200: Assignment #1 – Descriptive Statistics Analysis Plan – Template

Page 2 of 6

is that it is an important socioeconomic indicator of households in the nation. The expected

outcome is an idea of the percentages of heads households who are married. Marital status

one the factors that affect the planning of a budget household. The marital status helps

determine the routine expenses. A married head of the head of the household have higher

expenses as compared to a single person. Hence it is one of the pre-requisite factors that

affect the budget planning of the household.

3. Variable 3: “SE-Age Head Household” – I chose this variable to understand the quantitative

characteristics of the age of household heads. What interests me about this variable is that

age distribution indicates how old/young a population is, based on which many policy

decisions can be taken. The expected outcome is that I will be able to understand whether I

belong to a typical household head age group or not.

4. Variable 4: “USD-Food” – I chose this variable to understand household food expenditure

patterns. I am interested in this variable because household food expenditure determines

family nutritional levels and other parameters. The expected outcome will be an

understanding of how much an average household spends on food.

5. Variable 5: “USD-Fruits” – I chose this variable to understand household expenditures on fruit

consumption. I am interested in this variable because consumption of fruits leads to better

health. The expected outcome will be an idea of whether my fruit related expenses represent

general fruit expenditures or not.

Data Set Description: The data set consists of information from a randomly drawn sample of 30

participants. All information is self-reported. For each participant, corresponding to one household,

information on income levels, age of the head of the household, expenditure on food and other

demographic and expense related information has been recorded.

STAT200: Assignment #1 – Descriptive Statistics Analysis Plan – Template

Page 3 of 6

Proposed Data Analysis:

Measures of Central Tendency and Dispersion

Table 2. Numerical Summaries of the Selected Variables

Variable Name

Variable 1:

Income

Measures of Central

Tendency and Dispersion

●

●

●

Number of

Observations

Median

Sample Standard

Deviation

Rationale for Why Appropriate

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 commonly used measure of

dispersion.

3. The variable is quantitative.

Variable 2:

SE-Marital Status

•

Number of

observations

• Mode

• Proportion

(A qualitative variable does

not have a measure of

dispersion)

Variable 3:

SE-Age Head

Household

•

Variable 4:

USD-Food

•

•

•

•

•

I am using the mode for the following reason:

1. To know whether there are more married than

unmarried heads of household in the sample

I am using the proportion for the following reason:

1. To know the proportion of married to

unmarried heads of household in the sample

Number of

observations

Median

Sample standard

deviation

I am using median for two reasons:

1. It is a quantitative variable

2. Median of age will be a better statistic than

mean if the data is highly skewed or

asymmetric (it is not normally distributed)

I am using sample standard deviation for three

reasons:

1. It is commonly used and has a standard

interpretation

2. It indicates the spread of the data

3. It is applicable for quantitative variables.

Number of

observations

Mean

Sample standard

I am using mean for two reasons:

1. It is a quantitative variable

2. Mean is an appropriate statistic when there is

no extreme values (or outliers) and when data

STAT200: Assignment #1 – Descriptive Statistics Analysis Plan – Template

Page 4 of 6

Variable 5:

USD-Fruits

•

•

•

deviation

is symmetric (normally distributed). Food

expenses are likely not to have outliers and are

likely to be normally distributed.

I am using sample standard deviation for three

reasons:

1. It is commonly used and has a standard

interpretation

2. It indicates the spread of the data

3. It is applicable for quantitative variables.

Number of

observations

Mean

Sample standard

deviation

I am using mean for two reasons:

1. It is a quantitative variable

2. Mean is an appropriate statistic when there is

no extreme values (or outliers) and when data

is symmetric (normally distributed).

3. Food expenses are likely not to have outliers

and are likely to be normally distributed.

I am using sample standard deviation for three

reasons:

1. It is commonly used and has a standard

interpretation

2. It indicates the spread of the data

3. It is applicable for quantitative 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:

SE-Marital

Status

Graph: I will use a pie chart to depict

the distribution of married and

unmarried heads of household

Pie charts are ideal for depicting the

distribution of binary qualitative variables

such as marital status of the participant.

Variable 3:

SE-Age Head

Household

Graph: I will use a box plot to show the

distribution of income

Box plots are ideal for depicting data that is

likely to be asymmetric and highly skewed

(such as income)

STAT200: Assignment #1 – Descriptive Statistics Analysis Plan – Template

Page 5 of 6

Variable 4:

USD-Food

Graph: I will use a histogram, to show

the distribution of annual expense on

food.

Table: I will use a descriptive statistics

table to show values of mean, median,

standard deviation, range, etc.

Histograms are ideal to show the distribution

of quantitative data.

Descriptive statistical tables are ideal for

depicting quantitative characteristics of data.

Variable 5:

USD-Fruit

Graph: I will use a histogram, to show

the distribution of annual expense on

fruits.

Table: I will use a descriptive statistics

table to show values of mean, median,

standard deviation, range, etc.

Histograms are ideal to show the distribution

of quantitative data.

Descriptive statistical tables are ideal for

depicting quantitative characteristics of data.

STAT200: Assignment #1 – Descriptive Statistics Analysis Plan – Template

Page 6 of 6

STAT200 Introduction to Statistics

Assignment #2: Descriptive Statistics Analysis and Writeup

Assignment #2: Descriptive Statistics Analysis and Writeup

In the first assignment (Assignment #1: Descriptive Statistics Analysis Data Plan), you developed a

scenario about annual household expenditures and a plan for analyzing the data using descriptive

statistic methods. The purpose of this assignment is to carry out the descriptive statistics analysis plan

and write up the results. The expected outcome of this assignment is a two to three page write-up of

the findings from your analysis as well as a recommendation.

Assignment Steps:

Step #1: Review Feedback from Your Instructor

Before performing any analysis, please make sure to review your instructor’s feedback on Assignment

#1: Descriptive Statistics Data Analysis Plan. Based on the feedback, modify variables, tables, and

selected statistics, graphs, and tables, if needed.

Step #2: Perform Descriptive Statistic Analysis

Task 1: Look at the dataset.

•

(Re)Familiarize yourself with the variables. Review Table 1: Variables Selected for the

Analysis you generated for the first assignment as well as your instructor’s feedback. In

addition, look at the data dictionary contained in the data set for information about the

variables.

•

Select the variables you need for the analysis.

Task 2: Complete your data analysis, as outlined in your first assignment, with any needed

modifications, based on your instructor’s feedback.

•

Calculate Measures of Central Tendency and Variability. Use the information from

Assignment #1 – Table 2. Numerical Summaries of the Selected Variables. Here again,

be sure to see your instructor’s feedback and incorporate into the analysis.

•

Prepare Graphs and/or Tables. Use the information from Assignment #1 – Table 3.

Type of Graphs and/or Tables for Selected Variables. Here again, be sure to see your

instructor’s feedback and incorporate into the analysis.

STAT200: Assignment #2 – Descriptive Statistics Analysis and Writeup – Instructions

Page 1 of 3

Step #3: Write-up findings using the Provided Template

For this part of the assignment, write a short 2-3 page write-up of the process you followed and the

findings from your analysis. You will describe, in words, the statistical analysis used and present the

results in both statistical/text and graphic formats.

Here are the main sections for this assignment:

✓ Identifying Information. Fill in information on name, class, instructor, and date.

✓ Introduction. For this section, use the same scenario you submitted for the first assignment and

modified using your instructor’s feedback, if needed. Include Table 1 (Table 1: Variables

Selected for the Analysis) you used in Assignment #1 to show the variables you selected for the

analysis.

✓ Data Set Description and Method Used for Analysis. Briefly describe the data set, using

information provided in the data set file. Also describe what method(s) (i.e., TI Calculator, free

web applets, Excel) you used to analyze the data.

✓ Results. In this section, you will report the results of your descriptive statistics data analysis. For

each variable, fill in the following sections:

•

Variable (#): (Name). Fill in the name of the variable. Note: Income was included for

variable 1.

•

Numerical Summary. Fill in Table . Descriptive Analysis for Variable with your

computation. Below is the template table; be sure to include the name(s) of the

measures used as well as their values. Since there will be no measure of dispersion for

the qualitative variable, just enter N/A for not applicable. Note: The information for the

required variable, “Income,” has already been partially completed and can be used as a

guide for completing information on the remaining variables.

Variable

n

Measure(s) of Central Tendency

Measure(s) of Dispersion

Variable:

•

Graph and/or Table. Put the graph or table for the variable in this section.

STAT200: Assignment #2 – Descriptive Statistics Analysis and Writeup – Instructions

Page 2 of 3

•

Description of Findings.

–

Briefly describe the descriptive statistics measure(s) that was/were calculated

and explain why was it/they the appropriate one(s) to use.

–

Describe the results of the analysis in everyday language. Please consult your

textbook and information contained in our LEO classroom for examples.

✓ Discussion and Conclusion. Organize the discussion to address findings for which you presented

results. 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.

Assignment Submission: Name the file that contains your completed “Assignment #2: Descriptive

Statistics Analysis Writeup Template” using the following format: “Assignment2-StudentLastName.”

Submit it via the Assignments area in the LEO classroom in the “Assignment #2: Descriptive Statistics

Analysis Writeup” folder.

Grading Rubric for Assignment #2

Introduction

10%

Description of dat …

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