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<title>GNU Scientific Library &ndash; Reference Manual: Example statistical programs</title>

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<a name="Example-statistical-programs"></a>
<div class="header">
<p>
Next: <a href="Statistics-References-and-Further-Reading.html#Statistics-References-and-Further-Reading" accesskey="n" rel="next">Statistics References and Further Reading</a>, Previous: <a href="Median-and-Percentiles.html#Median-and-Percentiles" accesskey="p" rel="previous">Median and Percentiles</a>, Up: <a href="Statistics.html#Statistics" accesskey="u" rel="up">Statistics</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Examples-14"></a>
<h3 class="section">21.10 Examples</h3>
<p>Here is a basic example of how to use the statistical functions:
</p>
<div class="example">
<pre class="verbatim">#include &lt;stdio.h&gt;
#include &lt;gsl/gsl_statistics.h&gt;

int
main(void)
{
  double data[5] = {17.2, 18.1, 16.5, 18.3, 12.6};
  double mean, variance, largest, smallest;

  mean     = gsl_stats_mean(data, 1, 5);
  variance = gsl_stats_variance(data, 1, 5);
  largest  = gsl_stats_max(data, 1, 5);
  smallest = gsl_stats_min(data, 1, 5);

  printf (&quot;The dataset is %g, %g, %g, %g, %g\n&quot;,
         data[0], data[1], data[2], data[3], data[4]);

  printf (&quot;The sample mean is %g\n&quot;, mean);
  printf (&quot;The estimated variance is %g\n&quot;, variance);
  printf (&quot;The largest value is %g\n&quot;, largest);
  printf (&quot;The smallest value is %g\n&quot;, smallest);
  return 0;
}
</pre></div>

<p>The program should produce the following output,
</p>
<div class="example">
<pre class="verbatim">The dataset is 17.2, 18.1, 16.5, 18.3, 12.6
The sample mean is 16.54
The estimated variance is 5.373
The largest value is 18.3
The smallest value is 12.6
</pre></div>


<p>Here is an example using sorted data,
</p>
<div class="example">
<pre class="verbatim">#include &lt;stdio.h&gt;
#include &lt;gsl/gsl_sort.h&gt;
#include &lt;gsl/gsl_statistics.h&gt;

int
main(void)
{
  double data[5] = {17.2, 18.1, 16.5, 18.3, 12.6};
  double median, upperq, lowerq;

  printf (&quot;Original dataset:  %g, %g, %g, %g, %g\n&quot;,
         data[0], data[1], data[2], data[3], data[4]);

  gsl_sort (data, 1, 5);

  printf (&quot;Sorted dataset: %g, %g, %g, %g, %g\n&quot;,
         data[0], data[1], data[2], data[3], data[4]);

  median 
    = gsl_stats_median_from_sorted_data (data, 
                                         1, 5);

  upperq 
    = gsl_stats_quantile_from_sorted_data (data, 
                                           1, 5,
                                           0.75);
  lowerq 
    = gsl_stats_quantile_from_sorted_data (data, 
                                           1, 5,
                                           0.25);

  printf (&quot;The median is %g\n&quot;, median);
  printf (&quot;The upper quartile is %g\n&quot;, upperq);
  printf (&quot;The lower quartile is %g\n&quot;, lowerq);
  return 0;
}
</pre></div>

<p>This program should produce the following output,
</p>
<div class="example">
<pre class="verbatim">Original dataset:  17.2, 18.1, 16.5, 18.3, 12.6
Sorted dataset: 12.6, 16.5, 17.2, 18.1, 18.3
The median is 17.2
The upper quartile is 18.1
The lower quartile is 16.5
</pre></div>

<hr>
<div class="header">
<p>
Next: <a href="Statistics-References-and-Further-Reading.html#Statistics-References-and-Further-Reading" accesskey="n" rel="next">Statistics References and Further Reading</a>, Previous: <a href="Median-and-Percentiles.html#Median-and-Percentiles" accesskey="p" rel="previous">Median and Percentiles</a>, Up: <a href="Statistics.html#Statistics" accesskey="u" rel="up">Statistics</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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