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/* statistics/mean_source.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Jim Davies, Brian Gough
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
double
FUNCTION (gsl_stats, mean) (const BASE data[], const size_t stride, const size_t size)
{
/* Compute the arithmetic mean of a dataset using the recurrence relation
mean_(n) = mean(n-1) + (data[n] - mean(n-1))/(n+1) */
long double mean = 0;
size_t i;
for (i = 0; i < size; i++)
{
mean += (data[i * stride] - mean) / (i + 1);
}
return mean;
}
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