Statistics Analysis

University of Maryland University College

STAT200 - Assignment #1: Descriptive Statistics Data Analysis Plan

Identifying Information

Student (Full Name): Kyami Clarke

Class: STAT 200 7363 Introduction to Statistics

Instructor: Dr. Jing Gao

Date: June 27th, 2018

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: SE - Income	Annual household income in USD.	Quantitative
Variable 2: SE -Age Head Household	Age of the Head of Household	Qualitative
Variable 3: SE - Family Size	Total Number of People in Family	Quantitative
Variable 4: USD - Food	Total Amount of Annual Expenditure on Food	Quantitative
Variable 5: USD - Entertainment	Total Amount of Annual Expenditure on Entertainment	Quantitative

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

1. Variable 1: “Income” – To show how much income in a household.

2. Variable 2: “ Age Head Household “ – The age of the head of household.

3. Variable 3: “ Family Size “ - The size of the household.

4. Variable 4: “ Food “ - To show food expenditures paid out annually.

5. Variable 5: “Entertainment “ - To show entertainment expenditures paid out annually.

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: Age of the Head of Household	·
Variable 3: Family Size
Variable 4: Food
Variable 5: Entertainment

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: “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: Age of the Head of Household
Variable 3: Family Size	Bar Chart	The bar chart is appropriate for data that contains only a few categories.
Variable 4: Food	Histogram	Histogram
Variable 5: Entertainment	Histogram