Programa para Coeficiente de variación

Dada una array de tamaño n, la tarea es encontrar el Coeficiente de variación . El coeficiente de variación es la relación entre la desviación estándar y la media. El objetivo principal del coeficiente de variación es encontrar un estudio de garantía de calidad midiendo la dispersión de los datos de población de una distribución de probabilidad o frecuencia, o determinando el contenido o la calidad de los datos de muestra de sustancias. El método para medir la relación entre la desviación estándar y la media también se conoce como desviación estándar relativa, a menudo abreviada como RSD.
Ejemplos: 
 

Input : arr[] = {60.25, 62.38, 65.32, 61.41, 63.23}
Output : 0.0307144

Input : arr[] = {15, 36, 53.67, 25.45, 67.8, 56, 78.09}
Output : 0.48177

Acercarse: 
 

Coefficient of Variation = Standard deviation / mean 
Example:
arr[] = {60.25, 62.38, 65.32, 61.41, 63.23}
mean = 62.518
Standard Deviation = 1.9202
Coefficient of Variation = Standard deviation / mean
                         = 1.9202 / 62.518
                         = 0.0307144

A continuación se muestra la implementación de la fórmula anterior: 
 

// Program to find coefficient of
// variation of given array.
#include <bits/stdc++.h>
using namespace std;
 
// Function to find mean of given array.
float mean(float arr[], int n)
{
    float sum = 0;
    for (int i = 0; i < n; i++)
        sum = sum + arr[i];
    return sum / n;
}
 
// Function to find standard deviation
// of given array.
float standardDeviation(float arr[], int n)
{
    float sum = 0;
    for (int i = 0; i < n; i++)
        sum = sum + (arr[i] - mean(arr, n)) *
                    (arr[i] - mean(arr, n));
 
    return sqrt(sum / (n - 1));
}
 
// Function to find coefficient of variation.
float coefficientOfVariation(float arr[], int n)
{
   return standardDeviation(arr, n) / mean(arr, n);
}
 
// Driver Program
int main()
{
    float arr[] = { 15, 36, 53.67, 25.45,
                    67.8, 56, 78.09 };
    int n = sizeof(arr) / sizeof(arr[0]);
    cout << coefficientOfVariation(arr, n);
    return 0;
}

//Java Program to find coefficient of
// variation of given array
import java.io.*;
 
class GFG {
 
    // Function to find mean of given array.
    static double mean(double arr[], int n)
    {
        double sum = 0;
         
        for (int i = 0; i < n; i++)
            sum = sum + arr[i];
        return sum / n;
    }
     
    // Function to find standard 
    // deviation of given array.
    static double standardDeviation(double arr[],
                                            int n)
    {
        double sum = 0;
         
        for (int i = 0; i < n; i++)
            sum = sum + (arr[i] - mean(arr, n)) *
                            (arr[i] - mean(arr, n));
     
        return Math.sqrt(sum / (n - 1));
    }
     
    // Function to find coefficient of variation.
    static double coefficientOfVariation(double arr[],
                                                int n)
    {
    return (standardDeviation(arr, n) / mean(arr, n));
    }
 
    // Driver Program
    public static void main (String[] args) {
         
    double arr[] = { 15, 36, 53.67, 25.45,
                              67.8, 56, 78.09 };
    int n = arr.length;
     
    System.out.println( coefficientOfVariation(arr, n));
 
    }
}
 
 
//This article is contributed by vt_m.

# Program to find coefficient
# of variation of given array.
import math
 
# Function to find mean of
# given array.
def mean(arr, n):
    sum = 0
     
    for i in range(0, n):
        sum = sum + arr[i]
    return (sum / n)
 
# Function to find standard
# deviation of given array.
def standardDeviation(arr, n):
    sum = 0
     
    for i in range(0, n):
        sum = (sum + (arr[i] - mean(arr, n)) *
                      (arr[i] - mean(arr, n)))
 
    return math.sqrt(sum / (n - 1))
 
 
# Function to find coefficient
# of variation.
def coefficientOfVariation(arr, n):
    return (standardDeviation(arr, n) /
                          mean(arr, n))
 
 
# Driver Program
arr = [15, 36, 53.67, 25.45,
            67.8, 56, 78.09]
n = len(arr)
 
print(round(coefficientOfVariation(arr, n), 5))
 
# This code is contributed by Smitha Dinesh Semwal

//C# Program to find coefficient of
// variation of given array
using System;
 
class GFG {
 
    // Function to find mean of given array.
    static float mean(double []arr, int n)
    {
        double sum = 0;
         
        for (int i = 0; i < n; i++)
            sum = sum + arr[i];
        return (float)sum / n;
    }
     
    // Function to find standard
    // deviation of given array.
    static float standardDeviation(double []arr,
                                            int n)
    {
        double sum = 0;
         
        for (int i = 0; i < n; i++)
            sum = sum + (arr[i] - mean(arr, n)) *
                        (arr[i] - mean(arr, n));
     
        return (float)Math.Sqrt(sum / (n - 1));
    }
     
    // Function to find coefficient of variation.
    static float coefficientOfVariation(double []arr,
                                                int n)
    {
        return(float) (standardDeviation(arr, n) / mean(arr, n));
    }
 
    // Driver Program
    public static void Main () {
         
    double []arr = { 15, 36, 53.67, 25.45,
                            67.8, 56, 78.09 };
    int n = arr.Length;
     
    Console.WriteLine( coefficientOfVariation(arr, n));
 
    }
}
 
 
// This code is contributed by vt_m.

<?php
// Program to find coefficient of
// variation of given array.
 
 
// Function to find mean
// of given array.
function mean($arr, $n)
{
    $sum = 0;
    for ($i = 0; $i < $n; $i++)
        $sum = $sum + $arr[$i];
    return $sum /$n;
}
 
// Function to find standard
// deviation of given array.
function standardDeviation($arr, $n)
{
    $sum = 0;
    for ($i = 0; $i < $n; $i++)
        $sum = $sum + ($arr[$i] -
                mean($arr, $n)) *
               ($arr[$i] - mean($arr, $n));
 
    return sqrt($sum / ($n - 1));
}
 
// Function to find coefficient of variation.
function coefficientOfVariation($arr, $n)
{
return standardDeviation($arr, $n) /
                    mean($arr, $n);
}
 
// Driver Code
$arr = array( 15, 36, 53.67, 25.45,
                  67.8, 56, 78.09 );
$n = count($arr);
echo coefficientOfVariation($arr, $n);
 
// This code is contributed by vt_m.
?>

<script>
 
    // JavaScript Program to find coefficient of
    // variation of given array
     
    // Function to find mean of given array.
    function mean(arr, n)
    {
        let sum = 0;
           
        for (let i = 0; i < n; i++)
            sum = sum + arr[i];
        return sum / n;
    }
       
    // Function to find standard
    // deviation of given array.
    function standardDeviation(arr, n)
    {
        let sum = 0;
           
        for (let i = 0; i < n; i++)
            sum = sum + (arr[i] - mean(arr, n)) *
                        (arr[i] - mean(arr, n));
       
        return Math.sqrt(sum / (n - 1));
    }
       
    // Function to find coefficient of variation.
    function coefficientOfVariation(arr, n)
    {
        return (standardDeviation(arr, n) / mean(arr, n));
    }
     
    let arr = [ 15, 36, 53.67, 25.45, 67.8, 56, 78.09 ];
    let n = arr.length;
       
    document.write( coefficientOfVariation(arr, n).toFixed(5));
     
</script>

Producción:  

0.48177