Module 2 – Case
MEASURES OF CENTRAL TENDENCY
Case Assignment
By submitting this assignment, you affirm that it contains
all original work, and that you are familiar with Trident University’s Academic
Integrity policy in the Trident Policy Handbook. You affirm that you have not
engaged in direct duplication, copy/pasting, sharing assignments, collaboration
with others, contract cheating and/or obtaining answers online, paraphrasing,
or submitting/facilitating the submission of prior work. Work found to be
unoriginal and in violation of this policy is subject to consequences such as a
failing grade on the assignment, a failing grade in the course, and/or elevated
academic sanctions. You affirm that the assignment was completed individually,
and all work presented is your own.
Problems need to include all required steps and answer(s)
for full credit. All answers need to be reduced to lowest terms where possible.
Answer the following problems showing your work and explaining
(or analyzing) your results.
Describe the measures of central tendency. Under what
condition(s) should each one be used?
Last year, 12 employees from a computer company retired.
Their ages at retirement are listed below. First, create a stem plot for the
data. Next, find the mean retirement age. Round to the nearest year.
55 77
64 77 69
63 62 64
85 64 56
59
A retail store manager kept track of the number of car
magazines sold each week over a 10-week period. The results are shown below.
27 30
21 62 28
18 23 22
26 28
Find the mean, median, and mode of newspapers sold over the
10-week period.
Which measure(s) of central tendency best represent the
data?
Name any outliers.
Joe wants to pass his statistics class with at least a 75%.
His prior four test scores are 74%, 68%, 84% and 79%. What is the minimum score
he needs on the final exam to pass the class with a 75% average?
Nancy participated in a summer reading program. The number
of books read by the 23 participants are as follows:
10 9
6 2 5
3 9 1
6 3 10
4 7 6
3 5 6
2 6 5
3 7 2
Number of books read Frequency
1–2
3–4
5–6
7–8
9–10
Complete the frequency table.
Find the mean of the raw data.
Find the median of the raw data.
The chart below represents the number of inches of snow for
a seven-day period.
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
2 5 3 10 0 4 2
Find the mean, median, and mode.
Which is the best measure of central tendency?
Remove Wednesday from the calculations. How does that impact
the three measures of central tendency?
Describe the effect outliers have on the measures of central
tendency.
A dealership sold 15 cars last month. The purchase price of
the cars, rounded to the nearest thousand, is represented in the table.
Purchase price Number
of cars sold
$15,000 3
$20,000 4
$23,000 5
$25,000 2
$45,000 1
Find the mean and median of the data.
Which measure best represents the data? Use the results to
support your answer.
What is the outlier and how does it affect the data?
8. What do the letters represent on the box plot?
Box plot
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9. The test scores from a math final exam are as follows:
64 85
93 55 87
90 73 81 86 79
Create a box plot using the data.
Label the five points on the box plot and include numerical
answers from part “a.”
10. Using the data and results from Question 9, answer the
following questions.
What is the median?
What is the range?
What is the interquartile range?
In a short paragraph, describe the data in the box plot.
Submit your work by the module due date. If you are having
difficulty, please contact your professor.
Module 2 – SLP
MEASURES OF CENTRAL TENDENCY
By submitting this assignment, you affirm that it contains
all original work, and that you are familiar with Trident University’s Academic
Integrity policy in the Trident Policy Handbook. You affirm that you have not
engaged in direct duplication, copy/pasting, sharing assignments, collaboration
with others, contract cheating and/or obtaining answers online, paraphrasing,
or submitting/facilitating the submission of prior work. Work found to be
unoriginal and in violation of this policy is subject to consequences such as a
failing grade on the assignment, a failing grade in the course, and/or elevated
academic sanctions. You affirm that the assignment was completed individually,
and all work presented is your own.
Using the data you collected in the Module 1 SLP, write a
paper (1–3 pages) including all of the following content:
Calculate the mean, median, and mode of your collected data.
Show and explain your calculations.
Are these numbers higher or lower than you expected?
Explain.
Which of these measures of central tendency do you think
most accurately describes the variable you are looking at? Provide your
justification.
Create a box plot to represent the data, labeling and
numerating all 5 points on the box plot. For the plot, you may draw and insert
it in your paper as a picture. Make sure it is legible.
Submit your paper at the end of Module 2.
SLP Assignment Expectations
Answer all questions posted in the instructions. Use
information from the modular background readings and videos as well as any
good-quality resource you can find. Cite all sources in APA style and include a
reference list at the end of your paper.
Note about page length: Your ability to clearly articulate
and explain these concepts is being assessed. The page length is a general
guideline. A 3- or 4-page paper does not necessarily guarantee a grade of “A.”
An “A” paper would include detailed information and explanations of all the
assignment requirements listed above. The letter grade will be based upon
demonstrated mastery of the content and ability to articulate and apply the
concepts in the assignment. Keep this in mind while writing your paper.
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