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<title>Example statistical programs - GNU Scientific Library -- Reference Manual</title>
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<h3 class="section">20.10 Examples</h3>

<p>Here is a basic example of how to use the statistical functions:

<pre class="example"><pre class="verbatim">     #include &lt;stdio.h>
     #include &lt;gsl/gsl_statistics.h>
     
     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 ("The dataset is %g, %g, %g, %g, %g\n",
              data[0], data[1], data[2], data[3], data[4]);
     
       printf ("The sample mean is %g\n", mean);
       printf ("The estimated variance is %g\n", variance);
       printf ("The largest value is %g\n", largest);
       printf ("The smallest value is %g\n", smallest);
       return 0;
     }
</pre></pre>
   <p>The program should produce the following output,

<pre 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 4.2984
     The largest value is 18.3
     The smallest value is 12.6
</pre></pre>
   <p>Here is an example using sorted data,

<pre class="example"><pre class="verbatim">     #include &lt;stdio.h>
     #include &lt;gsl/gsl_sort.h>
     #include &lt;gsl/gsl_statistics.h>
     
     int
     main(void)
     {
       double data[5] = {17.2, 18.1, 16.5, 18.3, 12.6};
       double median, upperq, lowerq;
     
       printf ("Original dataset:  %g, %g, %g, %g, %g\n",
              data[0], data[1], data[2], data[3], data[4]);
     
       gsl_sort (data, 1, 5);
     
       printf ("Sorted dataset: %g, %g, %g, %g, %g\n",
              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 ("The median is %g\n", median);
       printf ("The upper quartile is %g\n", upperq);
       printf ("The lower quartile is %g\n", lowerq);
       return 0;
     }
</pre></pre>
   <p>This program should produce the following output,

<pre 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></pre>
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