Measures of Central Tendency

| May 26, 2015

This require 3 different answers/papers, please pay attention to the attachments since it is a follow on question to a previous assignment (SLP PORTION).

You will need to create a chart for SLP 1 in order to complete SLP 2, SLP 1 is in the attachments as (working Copy).
PART 1

CASE

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.

 

1.    Describe the measures of central tendency. Under what condition(s) should each one be used?

 

2.    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

 

  1. 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

 

  1. Find the mean, median, and mode of newspapers sold over the 10-week period.
  2. Which measure(s) of central tendency best represent the data?
  3. Name any outliers.

 

  1. 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?
  2. 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

 

  1. Complete the frequency table.
  2. Find the mean of the raw data.
  3. Find the median of the raw data.

 

  1. 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

 

  1. Find the mean, median, and mode.
  2. Which is the best measure of central tendency?
  3. Remove Wednesday from the calculations. How does that impact the three measures of central tendency?
  4. Describe the effect outliers have on the measures of central tendency.

 

  1. 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

 

  1. Find the mean and median of the data.
  2. Which measure best represents the data? Use the results to support your answer.
  3. What is the outlier and how does it affect the data?

    8. What do the letters represent on the box plot?

     

    9. The test scores from a math final exam are as follows:

    64   85   93   55   87   90   73   81   86   79

 

  1. Create a box plot using the data.
  2. 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.

 

  1. What is the median?
  2. What is the range?
  3. What is the interquartile range?
  4. In a short paragraph, describe the data in the box plot.

     

    PART 2:
    SLP

     

     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.
      PART 3:

    • Measure of Central Tendency

    In the business world, the mean salary is often used to describe the salaries of employees of a company. However, the median salary may be a better measure of the salaries than the mean. Which is the better measure of central tendency? Why? Review and respond to the comments posted by your classmates offering your insight on this topic.

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