<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE document PUBLIC "-//CNX//DTD CNXML 0.5 plus MathML//EN" "http://cnx.rice.edu/cnxml/0.5/DTD/cnxml_mathml.dtd">
<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/" id="id7597568">
  <name>Collaborative Statistics: English Phrases Written Mathematically</name>
  <metadata>
  <md:version>1.5</md:version>
  <md:created>2008/05/06 13:40:27 GMT-5</md:created>
  <md:revised>2008/10/27 10:29:13.678 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="sdean">
      <md:firstname>Susan</md:firstname>
      
      <md:surname>Dean</md:surname>
      <md:email>deansusan@deanza.edu</md:email>
    </md:author>
      <md:author id="billowsky">
      <md:firstname>Barbara</md:firstname>
      
      <md:surname>Illowsky</md:surname>
      <md:email>illowskybarbara@deanza.edu</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="sdean">
      <md:firstname>Susan</md:firstname>
      
      <md:surname>Dean</md:surname>
      <md:email>deansusan@deanza.edu</md:email>
    </md:maintainer>
    <md:maintainer id="billowsky">
      <md:firstname>Barbara</md:firstname>
      
      <md:surname>Illowsky</md:surname>
      <md:email>illowskybarbara@deanza.edu</md:email>
    </md:maintainer>
    <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>elementary</md:keyword>
    <md:keyword>statistics</md:keyword>
  </md:keywordlist>

  <md:abstract>This module provides an overview of commonly used phrases in statistics and their mathematical equivalents.</md:abstract>
</metadata>
  <content>
    <section id="id-321855428994">
      <name>English Phrases Written Mathematically</name>
      <table id="id7514633">
<tgroup cols="2"><colspec colnum="1" colname="c1"/>
          <colspec colnum="2" colname="c2"/>
          <thead>
            <row>
              <entry>When the English says:</entry>
              <entry>Interpret this as:</entry>
            </row>
          </thead>
          <tbody>
            <row>
              <entry/>
              <entry/>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is at least 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≥</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &gt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>The minimum is 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≥</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &gt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math> is no less than 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≥</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &gt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math> is greater than or equal to 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≥</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &gt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry/>
              <entry/>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math> is at most 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≤</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>The maximum is 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≤</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is no more than 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≤</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math> is less than or equal to 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≤</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>does not exceed 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≤</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;= 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry/>
              <entry/>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is greater than 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">&gt;</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X&gt;4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>There are more than 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">&gt;</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X&gt;4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>exceeds 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">&gt;</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X&gt;4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry/>
              <entry/>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is less than 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">&lt;</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X&lt;4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>There are fewer than 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">&lt;</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X&lt;4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry/>
              <entry/>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">=</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X=4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is equal to 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">=</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X=4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is the same as 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">=</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X=4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry/>
              <entry/>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is not 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≠</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;&gt; 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is not equal to 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≠</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;&gt; 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is not the same as 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≠</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;&gt; 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>X</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{X} {}</m:annotation></m:semantics></m:math>is different than 4.</entry>
              <entry>
                <m:math>
                  <m:semantics>
                    <m:mrow>
                      <m:mstyle fontsize="12pt">
                        <m:mrow>
                          <m:mrow>
                            <m:mi>X</m:mi>
                            <m:mo stretchy="false">≠</m:mo>
                            <m:mn>4</m:mn>
                          </m:mrow>
                        </m:mrow>
                      </m:mstyle>
                      <m:mrow/>
                    </m:mrow>
                    <m:annotation encoding="StarMath 5.0"> size 12{X &lt;&gt; 4} {}</m:annotation>
                  </m:semantics>
                </m:math>
              </entry>
            </row>
            <row>
              <entry/>
              <entry/>
            </row>
          </tbody>
        
</tgroup>
</table>
    </section>
  </content>
</document>
