Describe the measure of center tendency

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Reference no: EM131970792

By submitting this assignment you affirm that it contains all original work and that you are familiar with Indent University's Academe Integrity policy in the Trident Policy handbook. You affirm that you have not engaged in direct duplication.

Using the data you collected in the Module SLP, write a paper (1- to 3-page typed Word document) 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 01 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 points on the box plot For the plot, you may draw and insert it in your paper as a picture Make sure at is legible

SLP Assignment Expectations

Answer all questions posted in the instructions Use information from the modular background readings and wakes as well as any good quality resource you can find. Cite all sources in APA style and include reference list at the end of your paper

Problems need to include all required steps and answers for full credit. All answer need to be reduced to lowest terms where possible.

Answer the following problem showing your work and explaining ( or analyzing) your result. Submit your work in typed word document.

1. Describe the measure of center tendency. Under what conditions should each one be used?

2. Last year, 12 employees form 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

3. A retail store manager kept track of the number of car magazines sold each week over a 10-week period. The result are shown below.

27 30 21 62 28 18 23 22 26 28

a. find the mean, median and mode of newspapers sold over the 10-week period.

b. Which measures of central tendency best represent the data?

C. Name any outliers.

4. Joe woes to pass his statistics class with at least 75%, 68%, 84% and 79%. What is the minimum score he needs on the final exam to pass the class with a 75 % average?

5. Nancy participated in a summer reading program. The number of books read by the 23 participates are as follows:

10 9 6 2 5 3 9 1 6 3 10 4 7 6 3 5 6 2 6 5

Numbers of book read Frequency 
1-2

3-4

5-6

7-8

9-10

a. complete the frequency table.

b. Find the mean of the raw data

c. Find the median of the raw data

6. The Chart below represents the number of inches of show for seven-day period.

Sunday  Monday Tuseday  Wednesday Thursday  Friday Saturaday
2 5 3 10 0 4 2

a. Find the mean, median, and mode.

b. which is the best measure of center tendency?

c. Remove Wednesday from the calculations. How does that impact the three measures of central tendency?

d. Describe the effect outliers have on the measures of central tendency.

7. A dealership sold 15 cars last month. The purchase price of the car 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

a. Find the mean, median, and mode.

b. which measure best represents the data? Use the result to support your answer.

c. what is the outlier and how does it affect the data?

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

18_figure.jpg

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

64 85 93 55 87 90 73 81 86 79

a. Create a box plot using the data.

b. B. label the five points on the box plot and include numerical answer from part a

10. Using the data and result from question 9 answer the following questions.

a. what is the median?

b. what is the range?

c. what is the inter quartile range?

d. in a short paragraph, describe the data in the box plot.

Verified Expert

This assignment is based on basic concepts of the statistics. In this provided task, there are ten problems, which are based on the topic measure of central tendency i.e. Mean, Mode, Median. In these provided tasks, we have to mainly evaluate the mean, median and mode. Also, we have to make the box plot of provided data and analyze it. We have to define the theoretical measure of central tendency.

Reference no: EM131970792

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