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.
statistics
Description
Scenario:
Please write a few lines
describing your scenario and the four variables (in addition to income) you
have selected.
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 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: “Marital Status” |
Marital Status of the Head of the
Household |
Qualitative |
|
Variable 3: “Family Size” |
Total Number of People in Family
(Both Adults and Children) |
Quantitative |
|
Variable 4: “Annual Expenditures” |
Total Amount of Annual
Expenditures |
Quantitative |
|
Variable 5: “Food” |
Total Amount of Annual Expenditure
on Food |
Quantitative |
Reason(s) for Selecting the Variables and
Expected Outcome(s):
1.
Variable
1: “Income” – It is very important to understand the income distribution of
similar type of family and family size. Hence, this variable is selected.
2.
Variable
2: “Marital Status “– It is very important to understand analyze other
variables based on this variable value. Hence, this variable has been selected.
3.
Variable
3: “Family Size “- It is very important to understand the scenario based on
family size and need to filter other variables based in this variable. Hence
this variable is selected.
4.
Variable
4: “Annual Expenditures “- It is very important to understand the total annual
expenditure based on data for similar type of family and family size. Hence,
this variable is selected.
5.
Variable
5: “Food “- – It is very important to understand the annual food expenditure of
similar type of family and family size. Hence, this variable is selected.
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 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.
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: “Marital Status” |
|
I am using Mode for following
reason: 1.
To
understand what is the distribution (frequency) of married and unmarried
people – Who are appearing a greater number of times |
|
Variable
3: “Family Size” |
|
I am using Mean to understand what
is the normally the size of a family. 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
4: “Annual Expenditures” |
●
Number
of Observations ●
Median Sample Standard Deviation |
I am using median for two reasons: 3.
If
there are any outliers or the data is not normally distributed, the median is
the best measure of central tendency. 4.
The
variable is quantitative. I am using sample standard
deviation for three reasons: 4.
The
data is a sample from a larger data set. 5.
It
is the most commonly used measure of dispersion. 6.
The
variable is quantitative. |
|
Variable
5: “Food” |
●
Number
of Observations ●
Median ●
Sample
Standard Deviation |
I am using median for two reasons: 5.
If
there are any outliers or the data is not normally distributed, the median is
the best measure of central tendency. 6.
The
variable is quantitative. I am using sample standard
deviation for three reasons: 7.
The
data is a sample from a larger data set. 8.
It
is the most commonly used measure of dispersion. 9.
The
variable is quantitative. |
