Section: Module 3: Numerical Methods of Describing Data: Summary Numbers | Intro to Statistics for Izmir University of Economics Faculty of Medicine Cohort | NextGenU.org

  • Competency covered in this module: 
    • MCAT: Use measures of Central Tendency and Measures of Dispersion to describe data.
    • MCAT: Demonstrate an understanding of managing data by: evaluating and analyzing methods for examining central tendency; Formulating various techniques to analyze data dispersion; Assessing use of fractile measures such as quartiles and percentiles.
    • MCAT: Use, analyze, and interpret data n figures, graphs, and tables.
    • Miami-Dade: Demonstrate an understanding of descriptive statistics by: Interpreting and assessing data displayed using visual graphic presentation methods.
    • MCAT: Reason about ethical issues in scientific research.
    • Module 3: Lesson 1: Measures of Central Tendency

      Student Learning Outcomes:

      Upon completion of this lesson, you will be able to:

      • Explain the concept of central tendency.
      • Compute the midrange, midquartile, mean, median, mode, weighted, or combined mean of a given data set.
      • Explain the weakness of the median and mean as measures of CT.
      • Determine whether it is appropriate to use the mean, the median, and the mode to express the center of a given dataset.

      Approximate time required for the readings for this lesson (at 144 words/minute): 1 hour and 28 minutes.

       
      Required Learning Resources and Activities
    • Read entire page. (12 minutes)

      Rice University - 2021

    • Watch the entire video. (11 minutes)

      Rice University - 2021

    • Read entire page and do the set of five (5) questions at the bottom of the page. (10 minutes)

      Rice University - 2021

    • Watch the entire video. (21 minutes)

      2023

    • Read entire page. (3 minutes)

      Michigan State University - 2016

    • Module 3: Lesson 2: Measures of Dispersion

      Student Learning Outcomes:

      Upon completion of this lesson, you will be able to:

      • Explain dispersion in distributions.
      • Compute the range, interquartile range, variance, and standard deviation of a given data distribution.

      Approximate time required for the readings for this lesson (at 144 words/minute): 51 minutes.

       
      Required Learning Resources and Activities
    • Read entire page. (7 minutes)

      Rice University - 2021

    • Watch entire video. (7 minutes)

      Rice University - 2021

    • Watch all 4 slides. (3 minutes)

      Rice University - 2021

    • Module 3: Lesson 3: Measures of Position

      Student Learning Outcomes:

      Upon completion of this lesson, you will be able to:

      • Find percentile and quartiles of a distribution.
      • Explain the purpose of and compute the z-score of a measure within a distribution.
      • Normalize scores from different distributions to compare them.

      Approximate time required for the readings for this lesson (at 144 words/minute): 2 hours and 22 minutes.

       
      Required Learning Resources and Activities
    • Read entire page. (7 minutes)

      Penn State University, Eberly College of Science - 2022

    • Watch all slides. (20 minutes)

      Cal State University, Northridge - 2021

    • Read entire page. (6 minutes)

      University of Texas at Dallas - 2022

    • quiz icon
      Quiz: Module 3: Lessons 1, 2 & 3

      To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

      TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

      Not available unless: The activity Quiz: Module 2 is marked complete
    • Module 3: Lesson 4: Using Boxplots to Summarize Datasets

      Student Learning Outcomes:

      Upon completion of this lesson, you will be able to:

      • Define basic terms including hinges (fences), H-spread, step, adjacent value, outside value (outlier), and far out value (far outlier).
      • Use the 5-number summary to create boxplots to describe a dataset.
      • Create and interpret side-by-side box (parallel) plots to compare two variables.
      • Create an adjusted boxplot to identify outliers.
      • Create an Adjusted Box Plot.
      • Find Grouped Mean and Variance.

      Approximate time required for the readings for this lesson (at 144 words/minute): 2 hours and 54 minutes.

       
      Required Learning Resources and Activities
    • Read entire Page and answer questions at the bottom of the page. (11 minutes)

      Rice University - 2021

    • Watch entire video. (8 minutes)

      Rice University - 2021

    • Watch entire video. (18 minutes)

    • Student Learning outcome: Use the Five-Number Summary to Create a Boxplot to Describe a Data Set
      In this activity, you will investigate the relationship between boxplot shapes and the corresponding five-number summary.

      Step 1. Review

      Review the learning resources for this lesson before studying the case problem.

      Step 2. Analyze

      Analyze the case problem below.

      The accompanying figure shows four boxplots labeled A to D. Also given are four five-number summaries, labeled I to IV. Match each five-number summary to the appropriate boxplot. Note that scales are not included on the boxplots, so you will have to consider what the five-number summary implies about the characteristics of the boxplot.

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      Step 3. Respond

      Respond to the case problem by showing the boxplot properties, logic steps, and reasoning you used to match each figure with its corresponding five-number summary.

      Step 4. Share

      To share your work, access to the first post below and click on the “Reply” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

      OPTIONAL Step 5: Interact (10 minutes)

      If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”

    • Module 3: Lesson 5: Extra Topics on Describing Data

      Student Learning Outcomes:

      Upon completion of this lesson, you will be able to:

      • Distinguish between parameters and statistics.
      • Explain and give examples of skew and kurtosis of a distribution.
      • Identify and compare the relative positions of the mean and median and the difference between them as they are affected by skew.
      • Illustrate some ways in which graphs and statistics can be used to mislead.
      • Graph mixed bivariate data sets-
      • interpret graphs for Time Series Data.
      • Use numerical summaries with control charts to determine when a system is out-of-control.

      Approximate time required for the readings for this lesson (at 144 words/minute): 4 hours and 46 minutes.

       
      Required Learning Resources and Activities
    • Read the page to the end of 'Samples and Statistics' section. (5 minutes)

      Penn State University - 2022

    • Read entire page, paying more attention to the concepts than to the formulas. (8 minutes)

      Mustansiriyah University - 2021

    • Read entire page. (7 minutes)

      UC Davis - 2022

    • Read entire page. (10 minutes)

      Arkansas Tech University - 2021

    • Watch entire video. (10 minutes)

    • Read entire page. (8 minutes)

      (ASQ) American Society for Quality - 2022

    • In this activity, you will discuss factors of data collection that affect the shape, particularly the skewness, of the data distribution. 

      Step 1. Review

      Review the learning resources for this lesson before answering the question.

      Step 2. Analyze

      Analyze and discuss the question below.

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      Step 3. Respond

      Respond to the case problem by writing a 300-500-word discussion post with the following inclusions.

      Step 4. Share

      To share your work, click on the “Add a new discussion topic” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

      OPTIONAL Step 5: Interact (10 minutes)

      If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”

    • quiz icon
      Quiz: Module 3: Lessons 4 & 5

      To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to view the case studies and respond to the questions.

      TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

      Not available unless: The activity Quiz: Module 3: Lessons 1, 2 & 3 is marked complete
    • To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.