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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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