Step by Step solution about How to resolve the algorithm Averages/Pythagorean means step by step in the PHP programming language

This PHP code defines three functions to calculate the arithmetic, geometric, and harmonic means of an array of values and then calculates these means for a sample array:

1. ArithmeticMean(): Calculates the arithmetic mean (average) of an array of values by summing up all the values and dividing the sum by the count of values.

2. GeometricMean(): Calculates the geometric mean of an array of values by multiplying all the values together and then raising the result to the power of 1 divided by the count of values.

3. HarmonicMean(): Calculates the harmonic mean of an array of values by summing up the reciprocal of each value (1/value) and then dividing the count of values by the sum of reciprocals.

In the main part of the code, a sample array $values is created with integers from 1 to 10. Then, the three functions are called with this array as an argument, and the results are printed to the screen.

Here are the results printed for the given array:

• Arithmetic Mean: 5.5 (sum of values divided by count of values)
• Geometric Mean: 3.79112110816521 (product of values raised to the power of 1/count of values)
• Harmonic Mean: 4.07211545125923 (count of values divided by sum of reciprocals of values)

<?php
// Created with PHP 7.0

function ArithmeticMean(array $values)
{
    return array_sum($values) / count($values);
}

function GeometricMean(array $values)
{
    return array_product($values) ** (1 / count($values));
}

function HarmonicMean(array $values)
{
    $sum = 0;

    foreach ($values as $value) {
        $sum += 1 / $value;
    }

    return count($values) / $sum;
}

$values = array(1, 2, 3, 4, 5, 6, 7, 8, 9, 10);

echo "Arithmetic: " . ArithmeticMean($values) . "\n";
echo "Geometric: " . GeometricMean($values) . "\n";
echo "Harmonic: " . HarmonicMean($values) . "\n";