STAT 200 - Assignment #2_ Descriptive Statistics Analysis and Writeup (complete solution)

University of Maryland University College
STAT200 - Assignment #1: Descriptive Statistics Data Analysis Plan



Identifying Information
Student (Full Name): Maulee Patel
Class: STAT 200
Instructor: August G. Roesener
Date: September 2, 2018

Scenario: I am head of a household, who is 56 years old and married. I have also a university degree in
Accounting and one child.

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
Variable Name in the Data Description Type of Variable
Set (See the data dictionary for describing the (Qualitative or
variables.) Quantitative)

Variable 1: “Income” Annual household income in USD. Quantitative

Variable 2: “Age Head Age of the Head of Household. Qualitative
Household”

Variable 3: “Family Size” Total Number of People in Family (Both Adults Quantitative
and Children).

Variable 4: “Food Total Amount of Annual Expenditure on Food. Quantitative
Expenditures”

Variable 5: “Entertainment Total Amount of Annual Expenditure on Quantitative
Expenditures” Entertainment.


Reason(s) for Selecting the Variables and Expected Outcome(s):
1. Variable 1: “Income” – This variable will show the annual income in the household in USD.
2. Variable 2: “Age Head Household” – This variable will show the age of head of household.
3. Variable 3: “Family Size” – This variable will show the size of the family.

STAT200: Assignment #1 - Descriptive Statistics Analysis Plan - Template
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, 4. Variable 4: “Food Expenditures” – This variable will show how much is the annual food
expenses for the entire family.
5. Variable 5: “Entertainment Expenditures” – This variable will show how much is the annual
entertainment expenses for the entire family.


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 Rationale for Why Appropriate
Tendency and Dispersion

Variable 1: ● Number of I am using median for two reasons:
“Income” Observations 1. If there are any outliers or the data is not
● Median normally distributed, the median is the
● Sample Standard best measure of central tendency.
Deviation 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: “Age Head
Household”

Variable 3: “Family
Size”



STAT200: Assignment #1 - Descriptive Statistics Analysis Plan - Template
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, Variable 4: “Food
Expenditures”

Variable 5:
“Entertainment
Expenditures”


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: Graph: I will use the histogram Histogram is one of the best plots to show
“Income” to show the normal distribution the normal distribution of quantitative
of data. level data.

Variable 2: “Age Head I will use the simple tables for
Household” this variable.

Variable 3: “Family Size” I will use the Pie Chart to show Pie Chart is perfect graph for “Family size”
the normal distribution of data. as it will be able to compare the sizes of
family.

Variable 4: “Food I will use the Bar Chart to show
Expenditures” the normal distribution of data.

Variable 5: Graph: I will use the histogram Histogram is one of the best plots to show
“Entertainment to show the normal distribution the normal distribution of quantitative
Expenditures” of data. level data.




University of Maryland University College

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