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Assignment 3 inferential statistics analysis and writeup umuc

05/01/2021 Client: saad24vbs Deadline: 14 Days

University of Maryland University College


STAT200 - Assignment #2: Descriptive Statistics Analysis and Writeup


Identifying Information


Student (Full Name): DeNedra Hodge


Class: STAT 200


Instructor: Professor Chen


Date: 20 June 2018


Introduction:


The sample data was gathered from 30 households chosen randomly from US Department of Labor’s 2016 Consumer Expenditure Surveys. The information provided in the survey were both socioeconomic and expenditure variables that were provided by each household. From the dataset, I plan to learn approximately how much income and expenses the average household incurs. All income and expenses must be gathered for each household in order to get a better picture.


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: “Expenditures”


Annual household expenditures USD


Quantitative


Variable 3: “Housing”


Annual household housing costs USD


Quantitative


Variable 4: “Electricity”


Annual household electricity costs USD


Quantitative


Variable 5: “Water”


Annual household water costs USD


Quantitative


Data Set Description and Method Used for Analysis:


Results:


Variable 1: Income


Numerical Summary.


Table 2. Descriptive Analysis for Variable 1


Variable


n


Measure(s) of Central Tendency


Measure(s) of Dispersion


Variable: Income


30


Median= 96907


SD = 6402.215


Graph and/or Table: Histogram of Income




Description of Findings.


From the analysis, we can see that the median is 96907 ad standard deviation is 6402.215. We can see that the standard deviation is high which means there is a high disparity on incomes of the sample. We can also see from the histogram that many families earn an income that ranges from 94 867 and 102 067.


Variable 2: Expenditure


Numerical Summary.


Table 3. Descriptive Analysis for Variable 2


Variable


N


Measure(s) of Central Tendency


Measure(s) of Dispersion


Variable: Expenditure


30


Mean = 67 631.5


SD = 12 312.27


Graph and/or Table.


Description of Findings.


For this variable, we can see that the deviation for the mean is 12 312.5 with the mean as 67 631.5. The deviation from mean is high which shows that most families have a high difference in income.


Variable 3: Housing


Numerical Summary.


Table 4. Descriptive Analysis for Variable 3


Variable


n


Measure(s) of Central Tendency


Measure(s) of Dispersion


Variable: Housing


30


Mean = 21684.67


SD = 3463.397


Graph and/or Table.


Description of Findings.


The mean is 21 684.67 and standard deviation 3463.397. The deviation is less which means that most families spend almost same amount in their annual housing cost.


Variable 4: Electricity


Numerical Summary.


Table 5. Descriptive Analysis for Variable 4


Variable


N


Mean/Median


St. Dev.


Variable 4: Electricity


30


Mode: 1478


SD: 102.2936


Graph and/or Table.


Description of Findings.


From the analysis we see that that the most occurring electric bill is 1478, the standard deviation is 102.2936 meaning the deviation around the mean is low.


Variable 5: water


Numerical Summary.


Table 6. Descriptive Analysis for Variable 5


Variable


n


Measure(s) of Central Tendency


Measure(s) of Dispersion


Variable:


30


Median = 554


Sd: 100.8857


Graph and/or Table.


Description of Findings.


It has a median of 554 and a standard deviation of 100.8857. The deviation from the mean for water coast Is less which means most families use almost same amount of water.


Discussion and Conclusion.


Based on the information, most families spend about the same amount in housing, electricity and water expenses. It’s also identified that there is a high disparity on incomes and that the majority of household income ranges from 94 867 and 102 067. Additionally, there is a big difference in income for some households.


Income


From


Variable 1: “Income”


Variable 2: “Expenditures”


Variable 3: “Housing”


Variable 4: “Electricity”


Variable 5: “Water”


551.0 542.0 548.0 520.0 546.0 555.0 538.0 545.0 552.0 535.0 553.0 540.0 523.0 539.0 523.0 547.0 743.0 814.0 773.0 705.0 719.0 694.0 754.0 620.0 627.0 689.0 767.0 769.0 709.0 768.0


56124.0 56440.0 55120.0 55932.0 55247.0 55963.0 57082.0 56453.0 56515.0 56488.0 55558.0 55746.0 55321.0 56051.0 55512.0 76558.0 80801.0 82699.0 83347.0 73092.0 81419.0 71597.0 83766.0 75996.0 73550.0 72971.0 83448.0 83471.0 82676.0 84002.0


18676.0 18376.0 18391.0 18701.0 18483.0 18435.0 18576.0 18520.0 18648.0 18838.0 18502.0 18149.0 18312.0 18484.0 18633.0 26513.0 25392.0 24949.0 22915.0 23252.0 26991.0 22376.0 22899.0 26283.0 27164.0 23150.0 25679.0 26074.0 22414.0 26771.0


1468.0 1441.0 1458.0 1479.0 1451.0 1465.0 1478.0 1469.0 1480.0 1470.0 1478.0 1455.0 1450.0 1457.0 1485.0 1342.0 1514.0 1503.0 1723.0 1300.0 1421.0 1315.0 1682.0 1326.0 1330.0 1320.0 1511.0 1486.0 1688.0 1457.0


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