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Collaborative Statistics: Projects: Univariate Data

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

Summary: In this project, students will design and carry out a survey, analyze the data, and graphically display the results.

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Student Learning Objectives

  • The student will design and carry out a survey.
  • The student will analyze and graphically display the results of the survey.


As you complete each task below, check it off. Answer all questions in your summary.

  • ____ Decide what data you are going to study.


    Here are two examples, but you may NOT use them: number of M&M's per small bag, number of pencils students have in their backpacks.
  • ____ Is your data discrete or continuous? How do you know?
  • ____ Decide how you are going to collect the data (for instance, buy 30 bags of M&M's; collect data from the World Wide Web).
  • ____ Describe your sampling technique in detail. Use cluster, stratified, systematic, or simple random (using a random number generator) sampling. Do not use convenience sampling. What method did you use? Why did you pick that method?
  • ____ Conduct your survey. Your data size must be at least 30.
  • ____ Summarize your data in a chart with columns showing data value, frequency, relative frequency and cumulative relative frequency.
  • ____ Answer the following (rounded to 2 decimal places):
    • 1. x¯ x =
    • 2. ss =
    • 3. First quartile =
    • 4. Median =
    • 5. 70th percentile =
  • ____ What value is 2 standard deviations above the mean?
  • ____ What value is 1.5 standard deviations below the mean?
  • ____ Construct a histogram displaying your data.
  • ____ In complete sentences, describe the shape of your graph.
  • ____ Do you notice any potential outliers? If so, what values are they? Show your work in how you used the potential outlier formula in Chapter 2 (since you have univariate data) to determine whether or not the values might be outliers.
  • ____ Construct a box plot displaying your data.
  • ____ Does the middle 50% of the data appear to be concentrated together or spread apart? Explain how you determined this.
  • ____ Looking at both the histogram and the box plot, discuss the distribution of your data.

Assignment Checklist

You need to turn in the following typed and stapled packet, with pages in the following order:

  • ____ Cover sheet: name, class time, and name of your study
  • ____ Summary page: This should contain paragraphs written with complete sentences. It should include answers to all the questions above. It should also include statements describing the population under study, the sample, a parameter or parameters being studied, and the statistic or statistics produced.
  • ____ URL for data, if your data are from the World Wide Web.
  • ____ Chart of data, frequency, relative frequency and cumulative relative frequency.
  • ____ Page(s) of graphs: histogram and box plot.

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