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<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" xmlns:m="http://www.w3.org/1998/Math/MathML" id="new">
  <name>Descriptive Statistics: Sofia Quiz</name>
  <metadata>
  <md:version>1.4</md:version>
  <md:created>2008/05/12 18:02:17 GMT-5</md:created>
  <md:revised>2008/06/27 10:43:39.257 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="billowsky">
      <md:firstname>Barbara</md:firstname>
      
      <md:surname>Illowsky</md:surname>
      <md:email>cnx@cnx.org</md:email>
    </md:author>
      <md:author id="sdean">
      <md:firstname>Susan</md:firstname>
      
      <md:surname>Dean</md:surname>
      <md:email>cnx@cnx.org</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>descriptive</md:keyword>
    <md:keyword>elementary</md:keyword>
    <md:keyword>quiz</md:keyword>
    <md:keyword>sofia</md:keyword>
    <md:keyword>statistics</md:keyword>
  </md:keywordlist>

  <md:abstract>This module is a quiz containing 10 multiple choice questions covering topics related to descriptive statistics.

Note: This module is currently under revision, and its content is subject to change. This module is being prepared as part of a statistics textbook that will be available for the Fall 2008 semester.</md:abstract>
</metadata>
  <content>


<exercise id="quiz-2-1">
<problem>
  <para id="element-247">The following table shows the lengths of 64 international phone calls using a $5 prepaid calling card.</para><table id="element-533">
<name>Frequency of Phone Call Lengths</name>
<tgroup cols="4"><thead>
  <row>
    <entry>Data (minutes)</entry>
    <entry>Frequency</entry>
    <entry>Relative Frequency</entry>
    <entry>Cumulative Relative Frequency</entry>
  </row>
</thead>

<tbody>
  <row>
    <entry>4</entry>
    <entry>25</entry>
    <entry>0.3906</entry>
    <entry/>
  </row>
  <row>
    <entry>14</entry>
    <entry>15</entry>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry>24</entry>
    <entry>10</entry>
    <entry>0.1563</entry>
    <entry/>
  </row>
  <row>
    <entry>34</entry>
    <entry>9</entry>
    <entry>0.1406</entry>
    <entry/>
  </row>
  <row>
    <entry>44</entry>
    <entry>4</entry>
    <entry>0.0625</entry>
    <entry/>
  </row>
  <row>
    <entry>54</entry>
    <entry>1</entry>
    <entry>0.0156</entry>
    <entry>1.0000</entry>
  </row>
</tbody>
</tgroup>
</table><para id="element-581">Using the data, determine which <emphasis>ONE</emphasis> of the answers is correct:</para><list id="element-951" type="named-item"><item><name>A</name>The mean and the median are equal.</item>
<item><name>B</name>The mean is smaller than the median.</item>
<item><name>C</name>The mean is larger than the median.</item></list>
</problem>
</exercise>

<exercise id="quiz-2-2"><problem>
  <para id="element-631">Interpret the following box plot:</para>


<figure id="boxplot2_png"><media type="image/png" src="Descriptive_Statistics_Quiz_Box_Plot.png">
     <param name="alt" value="Box plot showing data from 0 to 7 with Q1 at 2, Q2 at 4, and Q3 at 5"/>
     <param name="longdesc" value="Descriptive_Statistics_Quiz_Box_Plot_longdesc.html"/>
  </media><caption><link src="Descriptive_Statistics_Quiz_Box_Plot_download.pdf">Click here to download a PDF version of this image.</link></caption></figure>


<para id="element-2471">Which of the following is correct?
  </para><list id="element-461" type="named-item"><item><name>A</name>75% of the data are at most 5.</item>
<item><name>B</name>There is about the same amount of data from 2-5 as there is from 5-7.</item>
<item><name>C</name>There are no data values of 3.</item>
<item><name>D</name>50% of the data are 4.</item></list>
</problem>
</exercise>

<exercise id="quiz-2-3">
<problem>
  <para id="element-2472">In a set of data, if all of the data appear with the same frequency, then:</para><list id="element-947" type="named-item"><item><name>A</name>The standard deviation is always 0.</item>
<item><name>B</name>The mean is always larger than the standard deviation.</item>
<item><name>C</name>All of the data have the same value.</item>
<item><name>D</name>The boxplot does not always look symmetrical.</item></list>
</problem>
</exercise>

<exercise id="quiz-2-4">
<problem>
<para id="element-24711">The following table shows the lengths of 64 international phone calls using a $5 prepaid calling card.</para><table id="element-5331">
<name>Frequency of Phone Call Lengths</name>
<tgroup cols="4"><thead>
  <row>
    <entry>Data (minutes)</entry>
    <entry>Frequency</entry>
    <entry>Relative Frequency</entry>
    <entry>Cumulative Relative Frequency</entry>
  </row>
</thead>

<tbody>
  <row>
    <entry>4</entry>
    <entry>25</entry>
    <entry>0.3906</entry>
    <entry/>
  </row>
  <row>
    <entry>14</entry>
    <entry>15</entry>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry>24</entry>
    <entry>10</entry>
    <entry>0.1563</entry>
    <entry/>
  </row>
  <row>
    <entry>34</entry>
    <entry>9</entry>
    <entry>0.1406</entry>
    <entry/>
  </row>
  <row>
    <entry>44</entry>
    <entry>4</entry>
    <entry>0.0625</entry>
    <entry/>
  </row>
  <row>
    <entry>54</entry>
    <entry>1</entry>
    <entry>0.0156</entry>
    <entry>1.0000</entry>
  </row>
</tbody>
</tgroup>
</table><para id="element-403">Find the 60th percentile.</para><list id="element-923" type="named-item"><item><name>A</name>14</item>
<item><name>B</name>60</item>
<item><name>C</name>15</item>
<item><name>D</name>0.2344</item></list>
</problem>
</exercise>

<exercise id="quiz-2-5"><problem>
  <para id="element-2474">Consider the following data set:</para><para id="element-233"><list id="element-751" type="inline"><item>4</item>
<item>6</item>
<item>6</item>
<item>12</item>
<item>18</item>
<item>18</item>
<item>18</item>
<item>200</item></list></para><para id="element-535">What value is 2 standard deviations above the mean?</para><list id="element-325" type="named-item"><item><name>A</name>There is not enough information</item>
<item><name>B</name>Approximately -98</item>
<item><name>C</name>Approximately 102</item>
<item><name>D</name>Approximately 169</item></list>
</problem>
</exercise>

<exercise id="quiz-2-6"><problem>
  <para id="element-2475">Consider the following data:</para><para id="element-294"><list id="element-142" type="inline"><item>14</item>
<item>16</item>
<item>16</item>
<item>22</item>
<item>25</item>
<item>38</item>
<item>38</item>
<item>38</item>
<item>38</item>
<item>2000</item></list></para><para id="element-608">Which of the measures of central tendency would be the <emphasis>least</emphasis> useful?</para><list id="element-194" type="named-item"><item><name>A</name>mean</item>
<item><name>B</name>mode</item>
<item><name>C</name>median</item></list>
</problem>
</exercise>

<exercise id="quiz-2-7">
<problem>
<para id="element-24722">The following table shows the lengths of 64 international phone calls using a $5 prepaid calling card.</para><table id="element-53322">
<name>Frequency of Phone Call Lengths</name>
<tgroup cols="4"><thead>
  <row>
    <entry>Data (minutes)</entry>
    <entry>Frequency</entry>
    <entry>Relative Frequency</entry>
    <entry>Cumulative Relative Frequency</entry>
  </row>
</thead>

<tbody>
  <row>
    <entry>4</entry>
    <entry>25</entry>
    <entry>0.3906</entry>
    <entry/>
  </row>
  <row>
    <entry>14</entry>
    <entry>15</entry>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry>24</entry>
    <entry>10</entry>
    <entry>0.1563</entry>
    <entry/>
  </row>
  <row>
    <entry>34</entry>
    <entry>9</entry>
    <entry>0.1406</entry>
    <entry/>
  </row>
  <row>
    <entry>44</entry>
    <entry>4</entry>
    <entry>0.0625</entry>
    <entry/>
  </row>
  <row>
    <entry>54</entry>
    <entry>1</entry>
    <entry>0.0156</entry>
    <entry>1.0000</entry>
  </row>
</tbody>
</tgroup>
</table><para id="element-206">What percent of the data is either 34 or 44 minutes?</para><list id="element-272" type="named-item"><item><name>A</name>Approximately 78%</item>
<item><name>B</name>Approximately 13%</item>
<item><name>C</name>Approximately 98%</item>
<item><name>D</name>Approximately 20%</item></list>
</problem>
</exercise>

<exercise id="quiz-2-8"><problem>
  <para id="element-2477">Sixty-four faculty members were asked the number of cars they owned (including spouse's and children's cars).  The results are given in the histogram below:</para>


<figure id="histogram8_png"><media type="image/png" src="Descriptive_Statistics_Quiz_Histogram.png">
     <param name="alt" value="Histogram showing frequency of faculty car ownership"/>
     <param name="longdesc" value="Descriptive_Statistics_Quiz_Histogram_longdesc.html"/>
  </media><caption><link src="Descriptive_Statistics_Quiz_Histogram_download.pdf">Click here to download a PDF version of this image.</link></caption></figure>

<para id="element-582">The number of responses that were either "1" or "3" is approximately:</para><list id="element-74" type="named-item"><item><name>A</name>0.4</item>
<item><name>B</name>27</item>
<item><name>C</name>40</item>
<item><name>D</name>2</item></list>
</problem>
</exercise>

<exercise id="quiz-2-9"><problem>
  <para id="element-2478">Sixty-four faculty members were asked the number of cars they owned (including spouse's and children's cars).  The results are given in the histogram below:</para>


<figure id="histogram9_png"><media type="image/png" src="Descriptive_Statistics_Quiz_Histogram.png">
     <param name="alt" value="Histogram showing frequency of faculty car ownership"/>
     <param name="longdesc" value="Descriptive_Statistics_Quiz_Histogram_longdesc.html"/>
  </media><caption><link src="Descriptive_Statistics_Quiz_Histogram_download.pdf">Click here to download a PDF version of this image.</link></caption></figure>

<para id="element-5828">Which of the following <emphasis>DOES NOT</emphasis> describe the data?</para><list id="element-748" type="named-item"><item><name>A</name>there are approximately 10 faculy members that own 7 cars</item>
<item><name>B</name>skewed left</item>
<item><name>C</name>There are no values of 5</item>
<item><name>D</name>skewed right</item></list>
</problem>
</exercise>

<exercise id="quiz-2-10"><problem>
  <para id="element-24779">Sixty-four faculty members were asked the number of cars they owned (including spouse's and children's cars).  The results are given in the histogram below:</para>

<figure id="histogram10_png"><media type="image/png" src="Descriptive_Statistics_Quiz_Histogram.png">
     <param name="alt" value="Histogram showing frequency of faculty car ownership"/>
     <param name="longdesc" value="Descriptive_Statistics_Quiz_Histogram_longdesc.html"/>
  </media><caption><link src="Descriptive_Statistics_Quiz_Histogram_download.pdf">Click here to download a PDF version of this image.</link></caption></figure>


<para id="element-5829">The third quartile is:</para><list id="element-749" type="named-item"><item><name>A</name>1</item>
<item><name>B</name>2</item>
<item><name>C</name>3</item>
<item><name>D</name>0.75</item></list>
</problem></exercise>
 
  </content>
  
</document>
