# Program for Coefficient of variation

Given an array of size n and the task is to find Coefficient of variation . Coefficient of variation is the ratio of standard deviation and mean. The main purpose of coefficient of variation is to find study of quality assurance by measuring the dispersion of the population data of a probability or frequency distribution, or by determining the content or quality of the sample data of substances. The method of measuring the ratio of standard deviation to mean is also known as relative standard deviation often abbreviated as RSD.

Examples :

```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
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach:

```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
```

Below is the implementation of the above formula :

## C++

 `// Program to find coefficient of  ` `// variation of given array. ` `#include ` `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

 `//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. `

## Python3

 `# 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#

 `//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

 ` `

Output :

```0.48177
```

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.

My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

Improved By : vt_m

Article Tags :
Practice Tags :

Be the First to upvote.

Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.