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  <name>Collaborative Statistics: Projects: Univariate Data</name>
  <metadata>
  <md:version>1.5</md:version>
  <md:created>2008/06/27 15:28:40 GMT-5</md:created>
  <md:revised>2008/07/15 17:56:47.537 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="billowsky">
      <md:firstname>Barbara</md:firstname>
      
      <md:surname>Illowsky</md:surname>
      <md:email>illowskybarbara@deanza.edu</md:email>
    </md:author>
      <md:author id="sdean">
      <md:firstname>Susan</md:firstname>
      
      <md:surname>Dean</md:surname>
      <md:email>deansusan@deanza.edu</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="cnxorg">
      <md:firstname/>
      
      <md:surname>Connexions</md:surname>
      <md:email>cnx@cnx.org</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>data</md:keyword>
    <md:keyword>elementary</md:keyword>
    <md:keyword>graph</md:keyword>
    <md:keyword>lab</md:keyword>
    <md:keyword>project</md:keyword>
    <md:keyword>statistics</md:keyword>
    <md:keyword>survey</md:keyword>
    <md:keyword>univariate</md:keyword>
  </md:keywordlist>

  <md:abstract>In this project, students will design and carry out a survey, analyze the data, and graphically display the results.</md:abstract>
</metadata>
  <content>
    <section id="element-141"><name>Student Learning Objectives</name>
<list id="element-815" type="bulleted"><item>The student will design and carry out a survey.</item>
<item>The student will analyze and graphically display the results of the survey.</item></list></section><section id="element-782"><name>Instructions</name>
<para id="element-580">
As you complete each task below, check it off.  Answer all questions in your summary.
</para><list id="element-362" type="named-item"><?mark ?><item><name>____</name>Decide what data you are going to study. <note type="Examples">Here are two examples, but you may <emphasis>NOT</emphasis> use them: number of M&amp;M's per small bag, number of pencils students have in their backpacks.</note></item>
<item><name>____</name>Is your data discrete or continuous?  How do you know?</item>
<item><name>____</name>Decide how you are going to collect the data (for instance, buy 30 bags of M&amp;M's; collect data from the World Wide Web).  </item>
<item><name>____</name>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?</item>
<item><name>____</name>Conduct your survey.  <emphasis>Your data size must be at least 30.</emphasis></item>
<item><name>____</name>Summarize your data in a chart with columns showing <emphasis>data value, frequency, relative frequency and cumulative relative frequency.</emphasis></item>
<item><name>____</name>Answer the following (rounded to 2 decimal places):
<list id="list-362" type="named-item"><?mark .?><item><name>1</name><m:math>
<m:apply>
  <m:conjugate/>
  <m:ci>x</m:ci>
</m:apply>
</m:math> =</item>
<item><name>2</name><m:math><m:mi>s</m:mi></m:math> =</item>
<item><name>3</name>First quartile = </item>
<item><name>4</name>Median = </item>
<item><name>5</name>70th percentile = </item>
</list>

</item>
<item><name>____</name>What value is 2 standard deviations above the mean?</item>
<item><name>____</name>What value is 1.5 standard deviations below the mean?</item>
<item><name>____</name>Construct a histogram displaying your data.</item>
<item><name>____</name>In complete sentences, describe the shape of your graph.</item>
<item><name>____</name>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.</item>
<item><name>____</name>Construct a box plot displaying your data.</item>
<item><name>____</name>Does the middle 50% of the data appear to be concentrated together or spread apart?  Explain how you determined this.</item>
<item><name>____</name>Looking at both the histogram and the box plot, discuss the distribution of your data.</item>
</list></section><section id="element-175"><name>Assignment Checklist</name>
<para id="element-810">
You need to turn in the following typed and stapled packet, with pages in the following order:
</para><list id="element-276" type="named-item"><?mark ?><item><name>____</name><emphasis>Cover sheet</emphasis>: name, class time, and name of your study</item>
<item><name>____</name><emphasis>Summary page</emphasis>: 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.  </item>
<item><name>____</name><emphasis>URL</emphasis> for data, if your data are from the World Wide Web.</item>
<item><name>____</name><emphasis>Chart of data, frequency, relative frequency and cumulative relative frequency.</emphasis></item>
<item><name>____</name><emphasis>Page(s) of graphs:</emphasis> histogram and box plot.</item>
</list>   
</section>
  </content>
  
</document>
