# Task 1: Develop scenario A 52 year old married man with a College Certificate and two children. This…

A 52 year old man with a and two .
This implies that the head of the house hold is married with a wife and 2 children. Thus, the Family size is four (4).
Task 2: Select variables for analysis that match the scenario developed in Task 1.
For the purpose of the scenario highlighted in Task 1, we will be using the following variables:
Income
Socio Economic Variables – Age of Household Head and Family Size
Household expenditures – Annual Expenditures and Education
Importance of the Variables chosen
The Income is the underlying factor for the family expenses and budget. The income of the head of the household reflects the annual salary earned by a 52 year old college degree certificate holder. This is a Quantitative data.
TheMarital Status is also selected because it reveals that the head of the household is married. This is a Qualitative data.
The Family size disclose the responsibilities bestowed on the head of the household.  The Family size is four (4) – Man, wife and the two (2) children. It is very important to note that the wife and two children could also be a source of income to the family. This is a Quantitative data.
The Annual Expenditure depicts the amount spent or expenses made by the family in a year. It can be compared to the total income earned by the family. This is a Quantitative data.
Food Expenditure is very important considering the size of the household, it’s expected that the man, two children education and the wife will require to feed on daily basis and as such their food expenses will be high compared to a family of smaller size. This is a Quantitative data.
Task 3: Determine appropriate measures of central tendency and dispersion for the selectedvariables
The Income:
Measures of Central Tendency
Measures of Dispersion
● Mean● Mode● Median
● Sample Standard Deviation● Variance ● Range
The selected measures are as a result of the data spread. The sample standard deviation will help measure the data spread about the mean
TheMarital Status
Measures of Central Tendency
● Mode
This is because marital status is a qualitative data. “Married” or “Not married”.
The Family size
Measures of Central Tendency
Measures of Dispersion
● Median ● Mean
● Range
The median will be a good measure for the central tendency due to the limitations of the maximum number of a family while range a measure of dispersion because we are dealing with an ordinal data. While there are no outliers.
The Annual Expenditure
Measures of Central Tendency
Measures of Dispersion
● Mean● Mode● Median
● Sample Standard Deviation● Variance ● Range
The selected measures are as a result of the data spread and because we are dealing with an ordinal data. The larger the dispersion, the higher is the standard deviation.
Food Expenditure
Measures of Central Tendency
Measures of Dispersion
● Mean● Mode● Median
● Sample Standard Deviation● Variance ● Range
The selected measures are as a result of the data spread and because we are dealing with an ordinal data. . The sample standard deviation will help measure the data spread about the mean
Task 4: Determine appropriate graph and/or table for each of the selected variables.
The Income:
Types of Graphs
Types of Tables
● Bar Chart● Histogram● Box Plots (also known as Box-and-Whiskers Plot)
● Grouped Frequency Table
The Grouped frequency table will help to capture all the incomes from the lowest income to the highest income. The box plot will help provide indications of the data’s symmetry and skewness. Box plots shows outliers
The Marital Status
Types of Graphs
Types of Tables
● Pie Chart
● Frequency Table
The Family size
Types of Graphs
Types of Tables
● Pie Chart ● Histogram
● Frequency Table● Relative Frequency Table
The frequency table will help display the descriptive statistics. The pie chart and histogram will help visualize the size of the family.
The Annual Expenditure
Types of Graphs
Types of Tables
● Bar Chart● Histogram● Box Plots (also known as Box-and-Whiskers Plot)
● Grouped Frequency Table
The Grouped frequency table will help to capture all the annual expenditures from the lowest annual expenditure to the highest annual expenditure. The box plot will help provide indications of the data’s symmetry and skewers. Box plots shows outliers
Food Expenditure
Types of Graphs
Types of Tables
● Bar Chart● Histogram
● Frequency Table● Relative Frequency Table
The frequency table will help display the descriptive statistics. The histogram will help visualize the distribution of the food expenditures.
3.1.8
State which type of measurement scale each represents, and then which center measures can be use for the variable?
a.) You collect data on the height of plants using a new fertilizer. b.) You collect data on the cars that people drive in Campbelltown, Australia. c.) You collect data on the temperature at different locations in Antarctica. d.) You collect data on the first, second, and third winner in a beer competition.
Solutions
a.) This is a Ratio Data and the center of measures that can be use are Mode, median and
Mean b.) The type of measurement scale is Nominal Data and the center measure that can be use is
only mode. c.) The type of measurement scale is Interval Data and the center measure that can be use are
mode, median and mean d.) This is an Ordinal Data and the center measure are median and mode.
3.1.12
An employee at Coconino Community College (CCC) is evaluated based on goal setting and accomplishments toward goals, job effectiveness, competencies, CCC core values. Suppose for a specific employee, goal 1 has a weight of 20%, goal 2 has a weight of 20%, goal 3 has a weight of 10%, job effectiveness has a weight of 25%, competency 1 has a goal of 4%, competency 2 has a goal has a weight of 3%, competency 3 has a weight of 3%, competency 4 has a weight of 5%, and core values has a weight of 10%. Suppose the employee has scores of 2.0 for goal 1, 2.0 for goal 2, 4.0 for goal 3, 3.0 for job effectiveness, 2.0 for competency 1, 3.0 for competency 2, 2.0 for competency 3, 3.0 for competency 4, and 4.0 for core values. Find the weighted average score for this employee. If an employee that has a score less than 2.5, they must have a Performance Enhancement Plan written. Does this employee need a plan?
Solution
Variable: x= score
Employee Evaluation Scores (x) Weights (w) xw Goal 1 2.0 0.20 0.40 Goal 2 2.0 0.20 0.40 Goal 3 4.0 0.10 0.40 Job Effectiveness 3.0 0.25 0.75 Competency 1 2.0 0.04 0.08 Competency 2 3.0 0.03 0.09 Competency 3 2.0 0.03 0.06 Competency 4 3.0 0.05 0.15 Core values 4.0 0.10 0.40 Total 1 2.73
The weighted average score for this employee is 2.73/1 = 2.73
Since the weighted average score of this employee is greater than 2.5, therefore, this employee doesn’t need a plan.

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