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University of Maryland University College STAT200 - Assignment #2: Descriptive Statistics Analysis and Writeup

Identifying Information Student (Full Name): Class: Instructor: Date:

Introduction: I am a woman who is newly divorced, with a family of just one child. Since being divorced, I am having to move into a smaller home, this has been difficult for me since I will no longer have the help of a spouse’s income. My yearly salary is $50,000 and throughout the year I spend $16,800 and $1,450 on electricity. Table 1. Variables Selected for the Analysis Variable Name in data set

Description

Type of Variable (Qualitative or Quantitative)

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

Quantitative

Variable 2: “SE Marital”

Qualitative

Marital Status of Head of Household.

Variable 3:”SE family Total Number of People in Family (Both size” Adults and Children).

Quantitative

Variable 4: “USD Housing”

Money spent on housing in USD.

Quantitative

Variable 5:” Electricity”

Money spent on electricity in USD.

Quantitative

Data Set Description and Method Used for Analysis: Results:

The data is a sample from the US Department of Labor’s 2016 Consumer Expenditure Survey and provides information about the structure of households and their annual expenses. The information provided is from 30 households.

To find the median and mean I used the excel application and to find the standard deviation I used my TI-84 calculator with the stat function. STAT200: Assignment #2 - Descriptive Statistics Analysis Writeup - Template Page 1 of 6

Variable 1: Income Numerical Summary. (94929,96621,96664,96522,96697,96727,94867,96690,97469,96886,95744,96572,95366,97912,96928, 114051,106627,109312,103144,111195,112559,97835,100693,95385,100350,95922,96207,97663,1005 65,97977) Table 2. Descriptive Analysis for Variable 1 Variable Variable: Income

n 30

Measure(s) of Central Tendency Median= $96,907

Measure(s) of Dispersion SD = 5,516.56 (ti-84)

Mean=$99,535.97

Graph and/or Table: Histogram of Income

Description of Findings.

From the histogram you can see that most people make from $94,867-$97,867. The shape of the histogram is skewed to the right. Variable 2: (Marital Status)

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Numerical Summary. (Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Not Married, Married, Married, Married, Married, Married, Married, Married, Married, Married, Married, Married, Married, Married, Married, Married) Table 3. Descriptive Analysis for Variable 2 Variable

n

Variable: Marital Status

30

Measure(s) of Central Tendency

Measure(s) of Dispersion

Mode= not married (15) Mode= married (15)

Graph and/or Table.

Marital Status

15

15

Not Married

Married

Description of Findings. From this pie chart you can see that half of the household’s marital status is married and the other half is married.

Variable 3: (Family Size) Numerical Summary. (2,2,3,4,2,2,1,2,4,2,4,2,2,1,3,5,3,6,5,5,3,5,2,4,5,3,3,3,3,2) Table 4. Descriptive Analysis for Variable 3 Variable

n

Measure(s) of Central Tendency

Measure(s) of Dispersion

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Variable: “Family Size”

Mode-2 Mean-3.1

Sample Standard Deviation- 1.322

Graph and/or Table.

Household Sizes 12 10

Frequency

8 6 4 2 0 1 Member

2 Members

3 Members

4 Members

5 Members

6 Members

Number of people in household

Description of Findings. From the graph you can see that the most popular household size is two members and the least popular household size is six members.

Variable 4: (Housing) Numerical Summary. (18483,18149,18502,18483,18520,18376,18633,18334,18514,18312,18435,18648,18576,18619,18701, 25728,22414,25392,26322,25018,25531,27949,26102,22847,26853,22996,28491,23150,27950,22990) Table 5. Descriptive Analysis for Variable 4 Variable Variable 4: “Housing”

n

Measure(s) of Central Tendency

30 Mean- $21,900.6

Measure(s) of Dispersion Sample standard Deviation- 3,752.75

Graph and/or Table.

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Description of Findings. From the graph you can see that most of the households paid from $18,149-$22,349 in yearly housing expenses. The shape of the graph is skewed to the right.

Variable 5: (Electricity) Numerical Summary. (1451,1455,1478,1457,1469,1441,1485,1453,1451,1450,1465,1480,1478,1450,1479,1452,1688,1514,13 86,1481,1504,1297,1354,1302,1405,1326,1310,1320,1358,1298) Table 6. Descriptive Analysis for Variable 5 Variable

n

Variable: “Electricity”

30

Measure(s) of Central Tendency Mean- $1,431.23 Range- $391

Measure(s) of Dispersion Sample Standard Deviation- 83.75

Graph and/or Table.

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Description of Findings. According to the histogram, most households spent from $1,394.75-$1,492.50 on yearly electricity expenses. The shape of the histogram is skewed to the left.

Discussion and Conclusion. In this data set the average income of all thirty households is $96,907 and the median being $96,907. Out of the thirty households exactly half were married and the other half were not married. The most popular family size was a household consisting of two members. The average cost of yearly housing out of the data set was $21,900.60 and the average yearly cost of electricity is $1,431.23. Out of all of the variables given, two are expenditures: housing and electricity. Housing is the highest expenditure out of the two, with an average yearly cost of $21,900.60, while electricity only being $1,431.23. Both of these expenditures are necessities for a household. However, in my opinion if you need to save a large amount of money; I think housing would be the expenditure to cut down on to save. By sizing down on the place where you live, you will see a larger amount of savings. Doing this though may make your quality of life suffer. Maybe find a house that is smaller where you do not have any extra rooms.

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