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AJ PHP Software Source Code Statistics Library
Variance of a Sample


number variance_sample ( number_array )

Description:

variance_sample returns the variance given a sample of the population.

sample variance equation

Source Code:

function variance_sample ($a)
{
  //variable and initializations
  $the_variance = 0.0;
  $the_mean = 0.0;
  $the_array_sum = array_sum($a); //sum the elements
  $number_elements = count($a); //count the number of elements

  //calculate the mean
  $the_mean = $the_array_sum / $number_elements;

  //calculate the variance
  for ($i = 0; $i < $number_elements; $i++)
  {
    //sum the array
    $the_variance = $the_variance + ($a[$i] - $the_mean) * ($a[$i] - $the_mean);
  }

  $the_variance = $the_variance / ($number_elements - 1.0);

  //return the variance
  return $the_variance;
}

Example:

<?
include ("ajstatistics.php");
$a = array(0, 1, 2, 3, 4, 5);

$the_variance = variance_sample ($a);

echo "a[0] = $a[0]<br>";
echo "a[1] = $a[1]<br>";
echo "a[2] = $a[2]<br>";
echo "a[3] = $a[3]<br>";
echo "a[4] = $a[4]<br>";
echo "a[5] = $a[5]<br>";
echo "the_variance = $the_variance<br>";
?>


Run Example


binomial coefficient binomial coefficient
mean mean of a set of number
median median of a set of number
standard deviation population standard deviation of a population
standard deviation sample standard deviation of a sample
variance population variance of a population
variance sample variance of a sample

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