<html> <head> <title>Gri: box plots</title> </head> <body bgcolor="#FFFFFF" text="#000000" link="#0000EE" vlink="#551A8B" alink="FF0000"> <!-- newfile BoxPlots.html "Gri: box plots" "Examples" --> <!-- @node Box Plots, Contouring, Examples, Examples --> <a name="BoxPlots" ></a> <img src="./resources/top_banner.gif" usemap="#navigate_top" border="0"> <table summary="top banner" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="150" valign="top"> <font size=-1> <br> Chapters: </br> <a href="Introduction.html">1: Introduction</a><br> <a href="SimpleExample.html">2: Simple example</a><br> <a href="InvokingGri.html">3: Invocation</a><br> <a href="GettingMoreControl.html">4: Finer Control</a><br> <a href="X-Y.html">5: X-Y Plots</a><br> <a href="ContourPlots.html">6: Contour Plots</a><br> <a href="Images.html">7: Image Plots</a><br> <a href="Examples.html">8: Examples</a><br> <a href="Commands.html">9: Gri Commands</a><br> <a href="Programming.html">10: Programming</a><br> <a href="Environment.html">11: Environment</a><br> <a href="Emacs.html">12: Emacs Mode</a><br> <a href="History.html">13: History</a><br> <a href="Installation.html">14: Installation</a><br> <a href="Bugs.html">15: Gri Bugs</a><br> <a href="TestSuite.html">16: Test Suite</a><br> <a href="Acknowledgments.html">17: Acknowledgments</a><br> <a href="License.html">18: License</a><br> <br> Indices:</br> <a href="ConceptIndex.html"><i>Concepts</i></a><br> <a href="CommandIndex.html"><i>Commands</i></a><br> <a href="BuiltinIndex.html"><i>Variables</i></a><br> </font> <td width="500" valign="top"> <map name="navigate_top"> <area alt="index.html#Top" shape="rect" coords="5,2,218,24" href="index.html#Top"> <area alt="Examples.html#Examples" shape="rect" coords="516,2,532,24" href="Examples.html#Examples"> <area alt="Gri: extra examples" shape="rect" coords="557,2,573,24" href="Examples.html"> <area alt="Gri: contouring example" shape="rect" coords="581,2,599,24" href="ContouringExample.html"> </map> <map name="navigate_bottom"> <area alt="index.html#Top" shape="rect" coords="5,2,218,24" href="index.html#Top"> <area alt="Gri: contouring example" shape="rect" coords="581,2,599,24" href="ContouringExample.html"></map> <h2>8.1: Box plots</h2> Box plots were invented by Tukey for eda (exploratory data analysis). They show nonparametric statistics. The centre of the box is the median. The box edges show the first quartile (q1) and the third quartile (q3). The distance from q3 to q1 is called the inter-quartile range. The whiskers (lines with crosses on them) extend to the furthest points still within 1.5 inter-quartile ranges of q1 and q3. Beyond the whiskers, all outliers are shown, in open circles up to a distance of 3 inter-quartile ranges beyond q1 and q3, and in closed circles beyond that. Below is an example that uses a "new command" to define each box plot (see <a href="NewCommands.html#AddingNewCommands">Adding New Commands</a>). <p> <A HREF="example7.png"> <IMG ALT="Example 7" SRC="example7-tiny.png" ALIGN=top> </A> <A HREF="example7.html">The command-file.</A> <P> </table> <img src="./resources/bottom_banner.gif" usemap="#navigate_bottom" border="0"> </body> </html>