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<br>
Chapters:
<br>
&nbsp;&nbsp;<a href="Introduction.html">1: Introduction</a><br>
&nbsp;&nbsp;<a href="SimpleExample.html">2: Simple example</a><br>
&nbsp;&nbsp;<a href="InvokingGri.html">3: Invocation</a><br>
&nbsp;&nbsp;<a href="GettingMoreControl.html">4: Finer Control</a><br>
&nbsp;&nbsp;<a href="X-Y.html">5: X-Y Plots</a><br>
&nbsp;&nbsp;<a href="ContourPlots.html">6: Contour Plots</a><br>
&nbsp;&nbsp;<a href="Images.html">7: Image Plots</a><br>
&nbsp;&nbsp;<a href="Examples.html">8: Examples</a><br>
&nbsp;&nbsp;<a href="Commands.html">9: Gri Commands</a><br>
&nbsp;&nbsp;<a href="Programming.html">10: Programming</a><br>
&nbsp;&nbsp;<a href="Environment.html">11: Environment</a><br>
&nbsp;&nbsp;<a href="Emacs.html">12: Emacs Mode</a><br>
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&nbsp;&nbsp;<a href="Installation.html">14: Installation</a><br>
&nbsp;&nbsp;<a href="Bugs.html">15: Gri Bugs</a><br>
&nbsp;&nbsp;<a href="TestSuite.html">16: Test Suite</a><br>
&nbsp;&nbsp;<a href="GriInThePress.html">17: Gri in Press</a><br>
&nbsp;&nbsp;<a href="Acknowledgments.html">18: Acknowledgments</a><br>
&nbsp;&nbsp;<a href="License.html">19: License</a><br>
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Indices:<br>
&nbsp;&nbsp;<a href="ConceptIndex.html"><i>Concepts</i></a><br>
&nbsp;&nbsp;<a href="CommandIndex.html"><i>Commands</i></a><br>
&nbsp;&nbsp;<a href="BuiltinIndex.html"><i>Variables</i></a><br>
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<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> 







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