Purpose: In this assignment, students will describe, and display a given set of quantitative Data.

Purpose:

In this assignment, students will describe, and display a given set of quantitative data.

 

Task:

Prepare a Microsoft Word document submission. Answer the following questions.

The following data represents weight gained during the 16-month period of April 2020 to July 2021:

Data Table

Weight (in pounds) gained from April, 2020 to July, 2021

0

5

5

8

8

10

10

10

10

10

11

11

15

20

24

30

 

  1. Review the types of graphical displays we can create for quantitative data sets in Chapter 3: Displaying and Summarizing Quantitative Data. Now create an appropriate graphical display where you’ll be able to see the shape of the distribution. Label the axes and include a title.

 

  1. Identify the appropriate distribution shape for the above data (select one from the three choices below). Explain how you determined it.

 

                                    UNIFORM                     BELL-SHAPED                          SKEWED ( mention Left or Right)

  1. Based on the distribution shape, which of the following would be the appropriate measure of center to use to represent the average weight gained ? Explain why.

 

                                    MEAN                           MEDIAN                                   MODE

 

  1. Calculate the average weight gained during the 16-month period. You must calculate the measure you selected in #3.

 

  1. From the display you have created, does the data contain a possible outlier? If yes, what is the value that appears to be an outlier and how can you tell? If no, explain how you can tell.
  2. Calculate the following and show your calculations.
  • IQR:
  • Lower Fence:                 
  • Upper Fence: 
  • Is the value noted in #5 above an outlier? Explain.
  • Are there any other outliers? Explain.

 

  1. Draw a box plot. Label the axes and include a title.

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