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Range and Coefficient of range of Array
• Difficulty Level : Basic
• Last Updated : 10 May, 2021

Given an array arr of integer elements, the task is to find the range and coefficient of range of the given array where:
Range: Difference between the maximum value and the minimum value in the distribution.
Coefficient of Range: (Max – Min) / (Max + Min).
Examples:

Input: arr[] = {15, 16, 10, 9, 6, 7, 17}
Output: Range : 11
Coefficient of Range : 0.478261
Max = 17, Min = 6
Range = Max – Min = 17 – 6 = 11
Coefficient of Range = (Max – Min) / (Max + Min) = 11 / 23 = 0.478261
Input: arr[] = {5, 10, 15}
Output: Range : 10
Coefficient of Range : 0.5

Approach: Find the maximum and minimum element from the given array and calculate the range and the coefficient of range as follows:

• Range = Max – Min
• Coefficient of Range = (Max – Min) / (Max + Min)

Below is the implementation of the above approach:

## C++

 `// C++ implementation to find``// Range and coefficient of range``#include ``#include ``using` `namespace` `std;` `// Function to return the minimum element from the array``float` `getMin(``float` `arr[], ``int` `n)``{``    ``float` `res = arr[0];``    ``for` `(``int` `i = 1; i < n; i++)``        ``res = min(res, arr[i]);``    ``return` `res;``}` `// Function to return the maximum element from the array``float` `getMax(``float` `arr[], ``int` `n)``{``    ``float` `res = arr[0];``    ``for` `(``int` `i = 1; i < n; i++)``        ``res = max(res, arr[i]);``    ``return` `res;``}` `// Function to print the Range and``// Coefficient of Range in the given array``void` `findRangeAndCoefficient(``float` `arr[], ``int` `n)``{``    ``float` `max = getMax(arr, n);``    ``float` `min = getMin(arr, n);``    ``float` `range = max - min;``    ``float` `coeffOfRange = range / (max + min);``    ``cout << ``"Range : "` `<< range << endl;``    ``cout << ``"Coefficient of Range : "` `<< coeffOfRange;``}` `// Driver code``int` `main()``{``    ``float` `arr[] = { 5, 10, 15 };``    ``int` `n = ``sizeof``(arr) / ``sizeof``(arr[0]);``    ``findRangeAndCoefficient(arr, n);``    ``return` `0;``}`

## Java

 `// Java implementation to find``// Range and coefficient of range` `import` `java.io.*;` `class` `GFG {``    ``// Function to return the minimum element from the array``static` `float` `getMin(``float` `arr[], ``int` `n)``{``    ``float` `res = arr[``0``];``    ``for` `(``int` `i = ``1``; i < n; i++)``        ``res = Math.min(res, arr[i]);``    ``return` `res;``}` `// Function to return the maximum element from the array``static` `float` `getMax(``float` `arr[], ``int` `n)``{``    ``float` `res = arr[``0``];``    ``for` `(``int` `i = ``1``; i < n; i++)``        ``res = Math.max(res, arr[i]);``    ``return` `res;``}` `// Function to print the Range and``// Coefficient of Range in the given array``static` `void` `findRangeAndCoefficient(``float` `arr[], ``int` `n)``{``    ``float` `max = getMax(arr, n);``    ``float` `min = getMin(arr, n);``    ``float` `range = max - min;``    ``float` `coeffOfRange = range / (max + min);``    ``System.out.println(``"Range : "` `+ range );``    ``System.out.println(``"Coefficient of Range : "` `+ coeffOfRange);``}` `       ``// Driver code``    ``public` `static` `void` `main (String[] args) {``    ` `    ``float` `arr[] = { ``5``, ``10``, ``15` `};``    ``int` `n = arr.length;``    ``findRangeAndCoefficient(arr, n);``    ``}``}`

## Python3

 `# Python 3 implementation to find``# Range and coefficient of range` `# Function to return the minimum``# element from the array``def` `getMin(arr, n):``    ``res ``=` `arr[``0``]``    ``for` `i ``in` `range``(``1``, n, ``1``):``        ``res ``=` `min``(res, arr[i])``    ``return` `res` `# Function to return the maximum``# element from the array``def` `getMax(arr, n):``    ``res ``=` `arr[``0``]``    ``for` `i ``in` `range``(``1``, n, ``1``):``        ``res ``=` `max``(res, arr[i])``    ``return` `res` `# Function to print the Range and``# Coefficient of Range in the given array``def` `findRangeAndCoefficient(arr, n):``    ``max` `=` `getMax(arr, n)``    ``min` `=` `getMin(arr, n)``    ``range` `=` `max` `-` `min``    ``coeffOfRange ``=` `range` `/` `(``max` `+` `min``)``    ``print``(``"Range :"``, ``range``)``    ``print``(``"Coefficient of Range :"``, coeffOfRange)` `# Driver code``if` `__name__ ``=``=` `'__main__'``:``    ``arr ``=` `[``5``, ``10``, ``15``]``    ``n ``=` `len``(arr)``    ``findRangeAndCoefficient(arr, n)` `# This code is contributed by``# Surendra_Gangwar`

## C#

 `// C# implementation to find``// Range and coefficient of range` `using` `System;` `public` `class` `GFG{``    ``// Function to return the minimum element from the array``static` `float` `getMin(``float` `[]arr, ``int` `n)``{``    ``float` `res = arr[0];``    ``for` `(``int` `i = 1; i < n; i++)``        ``res = Math.Min(res, arr[i]);``    ``return` `res;``}` `// Function to return the maximum element from the array``static` `float` `getMax(``float` `[]arr, ``int` `n)``{``    ``float` `res = arr[0];``    ``for` `(``int` `i = 1; i < n; i++)``        ``res = Math.Max(res, arr[i]);``    ``return` `res;``}` `// Function to print the Range and``// Coefficient of Range in the given array``static` `void` `findRangeAndCoefficient(``float` `[]arr, ``int` `n)``{``    ``float` `max = getMax(arr, n);``    ``float` `min = getMin(arr, n);``    ``float` `range = max - min;``    ``float` `coeffOfRange = range / (max + min);``    ``Console.WriteLine (``"Range : "` `+ range );``    ``Console.WriteLine (``"Coefficient of Range : "` `+ coeffOfRange);``}` `// Driver code``    ` `    ``static` `public` `void` `Main (){``    ` `    ``float` `[]arr = { 5, 10, 15 };``    ``int` `n = arr.Length;``    ``findRangeAndCoefficient(arr, n);``    ``}``//This code is contributed by akt_mit.   ``}`

## PHP

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## Javascript

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Output:
```Range : 10
Coefficient of Range : 0.5```

Time complexity : O(n)

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