}
+sub standard_deviation
+{
+ # Martin A. Hansen, September 2008
+
+ # Given a list of numbers calculate and return the standard deviation:
+ # http://en.wikipedia.org/wiki/Standard_deviation
+
+ my ( $numbers, # list of numbers
+ ) = @_;
+
+ # Returns a float.
+
+ my ( $mean_num, $num, $div, $div_sum, $mean_div, $std_div );
+
+ $mean_num = mean( $numbers );
+
+ $div_sum = 0;
+
+ foreach $num ( @{ $numbers } )
+ {
+ $div = ( $num - $mean_num ) ** 2;
+
+ $div_sum += $div;
+ }
+
+ $mean_div = $div_sum / scalar @{ $numbers };
+
+ $std_div = sqrt( abs( $mean_div ) );
+
+ return $std_div;
+}
+
+
sub min
{
# Martin A. Hansen, August 2006.
}
+sub log10
+{
+ # Martin A. Hansen, August 2008.
+
+ # Calculate the log10 of a given number.
+
+ my ( $num, # number
+ ) = @_;
+
+ # Returns a float.
+
+ return log( $num ) / log( 10 );
+}
+
+
sub overlap
{
# Martin A. Hansen, November 2003.