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      <h4><a name="stats">6.1.31 <code>stats</code></a></h4>
      <p><strong>Usage:</strong>
         <pre>   stats [&lt;item&gt; ...]</pre></p>
      <p>Calculates statistics on the data in the table.
         This filter turns the table sideways, so that each row
         of the output corresponds to a column of the input.
         The columns of the output table contain statistical items
         such as mean, standard deviation etc corresponding to each
         column of the input table.
         
      </p>
      <p>By default the output table contains columns for the
         following items:
         
         <ul>
            <li><code>Name</code>: Column name
            </li>
            <li><code>Mean</code>: Average
            </li>
            <li><code>StDev</code>: Population Standard deviation
            </li>
            <li><code>Minimum</code>: Numeric minimum
            </li>
            <li><code>Maximum</code>: Numeric maximum
            </li>
            <li><code>NGood</code>: Number of non-blank cells
            </li>
         </ul>
         
         
      </p>
      <p>However, the output may be customised by supplying one or more
         <code>&lt;item&gt;</code> headings.  These may be selected
         from the above as well as the following:
         
         <ul>
            <li><code>NBad</code>: Number of blank cells
            </li>
            <li><code>Variance</code>: Population Variance
            </li>
            <li><code>SampStDev</code>: Sample Standard Deviation
            </li>
            <li><code>SampVariance</code>: Sample Variance
            </li>
            <li><code>MedAbsDev</code>: Median Absolute Deviation
            </li>
            <li><code>ScMedAbsDev</code>: Median Absolute Deviation * 1.4826
            </li>
            <li><code>Skew</code>: Gamma 1 skewness measure
            </li>
            <li><code>Kurtosis</code>: Gamma 2 peakedness measure
            </li>
            <li><code>Sum</code>: Sum of values
            </li>
            <li><code>MinPos</code>: Row index of numeric minimum
            </li>
            <li><code>MaxPos</code>: Row index of numeric maximum
            </li>
            <li><code>Cardinality</code>: Number of distinct values in column; values &gt;100 ignored
            </li>
            <li><code>Median</code>: Middle value in sequence
            </li>
            <li><code>Quartile1</code>: First quartile
            </li>
            <li><code>Quartile2</code>: Second quartile
            </li>
            <li><code>Quartile3</code>: Third quartile
            </li>
         </ul>
         
         Additionally, the form "Q.<em>nn</em>" may be used to
         represent the quantile corresponding to the proportion
         0.<em>nn</em>, e.g.:
         
         <ul>
            <li><code>Q.25</code>: First quartile
            </li>
            <li><code>Q.625</code>: Fifth octile
            </li>
         </ul>
         
         
      </p>
      <p>Any parameters of the input table are propagated
         to the output one.
         
      </p>
      <p>Note that quantile calculations (including median and
         quartiles) can be expensive on memory.  If you want to calculate
         quantiles for large tables, it may be wise to reduce the
         number of columns to only those you need the quantiles for
         earlier in the pipeline.
         No interpolation is performed when calculating quantiles.
         
      </p>
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      <hr><i>STILTS - Starlink Tables Infrastructure Library Tool Set<br>Starlink User Note256<br>STILTS web page:
         <a href="http://www.starlink.ac.uk/stilts/">http://www.starlink.ac.uk/stilts/</a><br>Author email:
         <a href="mailto:m.b.taylor@bristol.ac.uk">m.b.taylor@bristol.ac.uk</a><br>Mailing list:
         <a href="mailto:topcat-user@jiscmail.ac.uk">topcat-user@jiscmail.ac.uk</a><br></i></body>
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