__  __    __   __  _____      _            _          _____ _          _ _ 
 |  \/  |   \ \ / / |  __ \    (_)          | |        / ____| |        | | |
 | \  / |_ __\ V /  | |__) | __ ___   ____ _| |_ ___  | (___ | |__   ___| | |
 | |\/| | '__|> <   |  ___/ '__| \ \ / / _` | __/ _ \  \___ \| '_ \ / _ \ | |
 | |  | | |_ / . \  | |   | |  | |\ V / (_| | ||  __/  ____) | | | |  __/ | |
 |_|  |_|_(_)_/ \_\ |_|   |_|  |_| \_/ \__,_|\__\___| |_____/|_| |_|\___V 2.1
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<?php

declare(strict_types=1);

namespace Phpml\Math\Statistic;

/**
 * In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.
 * Informally, it measures how far a set of (random) numbers are spread out from their average value
 * https://en.wikipedia.org/wiki/Variance
 */
final class Variance
{
    /**
     * Population variance
     * Use when all possible observations of the system are present.
     * If used with a subset of data (sample variance), it will be a biased variance.
     *
     *      ∑⟮xᵢ - μ⟯²
     * σ² = ----------
     *          N
     */
    public static function population(array $population): float
    {
        return StandardDeviation::sumOfSquares($population) / count($population);
    }
}

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Name Type Size Permission Actions
ANOVA.php File 4.17 KB 0777
Correlation.php File 880 B 0777
Covariance.php File 4.21 KB 0777
Gaussian.php File 1.08 KB 0777
Mean.php File 1.37 KB 0777
StandardDeviation.php File 1.33 KB 0777
Variance.php File 811 B 0777
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