Course Project - Phase 1

timer Asked: Jan 2nd, 2019
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Question description

You are provided with two options for your course project below. Select ONE of the options below for your analysis.

Review each scenario and data set carefully and choose which scenario you would like to work with. Begin Phase 1 of your analysis by including the following information:

  1. Introduce your scenario and data set.
    • Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
    • Classify the variables in your data set.
      • Which variables are quantitative/qualitative?
      • Which variables are discrete/continuous?
      • Describe the level of measurement for each variable included in your data set.
  1. Discuss the importance of the Measures of Center and the Measures of Variation.
    • What are the measures of center and why are they important?
    • What are the measures of variation and why are they important?
  1. Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.
    • Mean
    • Median
    • Mode
    • Midrange
    • Range
    • Variance
    • Standard Deviation
  1. Conclusion
    • Recap your ideas by summarizing the information presented.

Tutor Answer

School: Carnegie Mellon University

Thank you so much

Running head: COURSE PROJECT


Institution affiliation:



Overview of the scenario
A client is interested in knowing salary distributions of jobs in Minnesota State.
Therefore, in this paper, an analysis will be carried out on data comprising of 364 records of job
listings by title as well as yearly salaries that range from approximately $40,000 to $120,000.
There are two variables in the dataset. The first variable is job titles that comprise of
different Job titles while the second variable is the salaries of each job title in the state of
Minnesota. The qualitative variable in the dataset is job titles. This is so since it describes data
that is not numerical as well as data that fit into categories. The quantitative variable is salaries.
This is so it comprises of numerical data.
The salary variable is a continuous variable since it can have almost any numerical value.
Additionally, it can be subdivided into finer increments that depend on upon the precision of
measurement. The different numerical variables in the dataset within the salary variable are
attributed to the fact that they represent different job titles.
With the job title variable lacking numerical significance as a result of being a qualitative
variable, the nominal level of measurement has been used as the level of measurement for this
variable. Secondly, the level of measurement of the salary variable is the ration level of
measurement. This is so since this variable can have a value of zero.
Measures of center
These are measures that provide a representative value that summarizes the data set. They
include the mean, mode, median as well as the midrange. To begin with, the mean which is also
referred to as the average is the most common measure of center. However, it tends to be



affected by extreme variables thereby making it unreliable in a skewed distribution (Witte,
Secondly, the median is simply the value which is at the center of a given dataset. Half of
the values in the dataset will be less than the median while the remaining half is greater than the
median value. For this reason, the median is the most suitable measure of center for skewed
distribution. Thirdly, the mode value is simply the value that appears more than any other values
in the dataset. It is usually not affected by extreme values.
The fourth measure of center is the midrange. This is simply the midrange between the
maximum & minimum values in a dataset. With the minimum and maximum values being of the
essence in determining the midrange, it is quite evident that this value is affected by extremes
thereby making it unreliable for skewed distribution (Witte, 2017).
Measures of variation.
These measures tell us how spread-out the data is. They include the range, variance as
well as standard deviation (Langdon, 2017). The range is simply the difference between the
maximum & minimum values in a dataset. With only two values being utilized in determining
the range, it is quite evident that it does not reflect the true variation within a given dataset.
Additionally, this value is very sensitive to extremes.
Secondly, variance refers to the expectation of squared deviation of random variables
from their mean. It is not sensitive to extremes and every single value in the dataset is included.
Lastly, the standard deviation is a measure of much the values a given dataset deviate from the
mean of the data. This value is not affected by extremes (Langdon, 2017).
Both the measures of center, as well as variation, are important since they enable one to
summarize the dataset and be able to analyze it.



Measures of center & measures of variation
Measures of center & measures of variation












Standard deviation






From the table above the average salary per year in the State of Minnesota is $62,306.
Secondly, more than half of the job titles demand a salary of $56,520 and above. Thirdly, most
job titles in Minnesota State bring in a salary equivalent to $46,100 per year. Fourthly, the mid
salary in Minnesota based on...

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